<?xml version="1.0" encoding="utf-8"?>
<!-- generator="FeedCreator 1.7.2-ppt DokuWiki" -->
<?xml-stylesheet href="http://eye48.com/dokuwiki/lib/exe/css.php?s=feed" type="text/css"?>
<feed xmlns="http://www.w3.org/2005/Atom">
    <title>eye48 Wiki</title>
    <subtitle></subtitle>
    <link rel="alternate" type="text/html" href="http://eye48.com/dokuwiki/"/>
    <id>http://eye48.com/dokuwiki/</id>
    <updated>2010-07-29T15:31:15+02:00</updated>
    <generator>FeedCreator 1.7.2-ppt DokuWiki</generator>
<link rel="self" type="application/atom+xml" href="http://eye48.com/dokuwiki/feed.php" />
    <entry>
        <title>Avidemux - angelegt</title>
        <link rel="alternate" type="text/html" href="http://eye48.com/dokuwiki/doku.php?id=pkm:video:avidemux"/>
        <published>2010-07-25T17:44:24+02:00</published>
        <updated>2010-07-25T17:44:24+02:00</updated>
        <id>http://eye48.com/dokuwiki/doku.php?id=pkm:video:avidemux</id>
        <author>
            <name>Michael Haschke</name>
        </author>
        <summary>


&lt;h1&gt;&lt;a name=&quot;avidemux&quot; id=&quot;avidemux&quot;&gt;Avidemux&lt;/a&gt;&lt;/h1&gt;
&lt;div class=&quot;level1&quot;&gt;

&lt;p&gt;

&lt;a href=&quot;http://avidemux.org/&quot; class=&quot;urlextern&quot; title=&quot;http://avidemux.org/&quot;&gt;Avidemux&lt;/a&gt; is a free open-source program designed for multi-purpose video editing  and processing, which can be used on almost all known operating systems and computer platforms. This website contains lots of information about downloading, compiling, configuring, and using the program.
&lt;/p&gt;
&lt;div class=&quot;tags&quot;&gt;&lt;span&gt;
	&lt;a href=&quot;http://eye48.com/dokuwiki/doku.php?id=tag:linux&amp;amp;do=showtag&amp;amp;tag=tag%3Alinux&quot; class=&quot;wikilink1&quot; title=&quot;tag:linux&quot; rel=&quot;tag&quot;&gt;Linux&lt;/a&gt;,
	&lt;a href=&quot;http://eye48.com/dokuwiki/doku.php?id=tag:video&amp;amp;do=showtag&amp;amp;tag=tag%3Avideo&quot; class=&quot;wikilink1&quot; title=&quot;tag:video&quot; rel=&quot;tag&quot;&gt;Video&lt;/a&gt;,
	&lt;a href=&quot;http://eye48.com/dokuwiki/doku.php?id=tag:avidemux&amp;amp;do=showtag&amp;amp;tag=tag%3Aavidemux&quot; class=&quot;wikilink1&quot; title=&quot;tag:avidemux&quot; rel=&quot;tag&quot;&gt;Avidemux&lt;/a&gt;,
	&lt;a href=&quot;http://eye48.com/dokuwiki/doku.php?id=tag:avisynth&amp;amp;do=showtag&amp;amp;tag=tag%3Aavisynth&quot; class=&quot;wikilink1&quot; title=&quot;tag:avisynth&quot; rel=&quot;tag&quot;&gt;Avisynth&lt;/a&gt;,
	&lt;a href=&quot;http://eye48.com/dokuwiki/doku.php?id=tag:tutorials&amp;amp;do=showtag&amp;amp;tag=tag%3Atutorials&quot; class=&quot;wikilink1&quot; title=&quot;tag:tutorials&quot; rel=&quot;tag&quot;&gt;Tutorials&lt;/a&gt;
&lt;/span&gt;&lt;/div&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Avidemux&quot; [1-384] --&gt;
&lt;h2&gt;&lt;a name=&quot;scripting&quot; id=&quot;scripting&quot;&gt;Scripting&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://avidemux.org/admWiki/doku.php?id=using:scripting&quot; class=&quot;urlextern&quot; title=&quot;http://avidemux.org/admWiki/doku.php?id=using:scripting&quot;&gt;Avidemux-Wiki: Scripting with ECMA script&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Scripting&quot; [385-514] --&gt;
&lt;h2&gt;&lt;a name=&quot;filter&quot; id=&quot;filter&quot;&gt;Filter&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Filter&quot; [515-534] --&gt;
&lt;h2&gt;&lt;a name=&quot;avidemux-mit-avisynth&quot; id=&quot;avidemux-mit-avisynth&quot;&gt;Avidemux mit Avisynth&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://avidemux.org/admForum/viewtopic.php?id=7100&quot; class=&quot;urlextern&quot; title=&quot;http://avidemux.org/admForum/viewtopic.php?id=7100&quot;&gt;Avidemux2 Forum: avisynth script Filter for avidemux under Linux &lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://avsfilter.berlios.de/&quot; class=&quot;urlextern&quot; title=&quot;http://avsfilter.berlios.de/&quot;&gt;AvsFilter&lt;/a&gt;: External video filter for avidemux2. Is used for load avisynth script as native avidemux2 video filter. Filter supports external binary Windows dll in avisynth script (thanks wine), several AvsFilter instance with different avisynth script and many other features.&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Avidemux mit Avisynth&quot; [535-1008] --&gt;
&lt;h2&gt;&lt;a name=&quot;tutorials&quot; id=&quot;tutorials&quot;&gt;Tutorials&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://www.engon.de/audio/vhs2.htm&quot; class=&quot;urlextern&quot; title=&quot;http://www.engon.de/audio/vhs2.htm&quot;&gt;Filtereinstellungen für VHS in AVIDEMUX&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Tutorials&quot; [1009-] --&gt;</summary>
    </entry>
    <entry>
        <title>MEncoder</title>
        <link rel="alternate" type="text/html" href="http://eye48.com/dokuwiki/doku.php?id=pkm:video:mencoder"/>
        <published>2010-07-21T17:41:16+02:00</published>
        <updated>2010-07-21T17:41:16+02:00</updated>
        <id>http://eye48.com/dokuwiki/doku.php?id=pkm:video:mencoder</id>
        <author>
            <name>Michael Haschke</name>
        </author>
        <summary>


&lt;h1&gt;&lt;a name=&quot;mencoder&quot; id=&quot;mencoder&quot;&gt;MEncoder&lt;/a&gt;&lt;/h1&gt;
&lt;div class=&quot;level1&quot;&gt;

&lt;p&gt;

&lt;code&gt;mencoder video.ogg -o video.avi&lt;/code&gt;
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;MEncoder&quot; [1-61] --&gt;
&lt;h2&gt;&lt;a name=&quot;codecs-container&quot; id=&quot;codecs-container&quot;&gt;Codecs &amp;amp; Container&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;

&lt;p&gt;

&lt;code&gt;-oac AUDIO -ovc VIDEO&lt;/code&gt;
&lt;/p&gt;

&lt;p&gt;
&lt;a href=&quot;http://www.mplayerhq.hu/DOCS/HTML/de/menc-feat-selecting-codec.html&quot; class=&quot;urlextern&quot; title=&quot;http://www.mplayerhq.hu/DOCS/HTML/de/menc-feat-selecting-codec.html&quot;&gt;Auswahl der Codecs und Containerformate @ MEncoder manual&lt;/a&gt;
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Codecs &amp; Container&quot; [62-251] --&gt;
&lt;h3&gt;&lt;a name=&quot;libavcodec&quot; id=&quot;libavcodec&quot;&gt;libavcodec&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

&lt;a href=&quot;http://www.mplayerhq.hu/DOCS/HTML/de/menc-feat-enc-libavcodec.html&quot; class=&quot;urlextern&quot; title=&quot;http://www.mplayerhq.hu/DOCS/HTML/de/menc-feat-enc-libavcodec.html&quot;&gt;http://www.mplayerhq.hu/DOCS/HTML/de/menc-feat-enc-libavcodec.html&lt;/a&gt;
&lt;/p&gt;

&lt;p&gt;
Bsp: &lt;code&gt;-ovc lavc -lavcopts vcodec=huffyuv&lt;/code&gt;
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;libavcodec&quot; [252-386] --&gt;
&lt;h2&gt;&lt;a name=&quot;filter&quot; id=&quot;filter&quot;&gt;Filter&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;

&lt;p&gt;

List: &lt;code&gt;-vf help&lt;/code&gt;, Parameter: &lt;code&gt;-vf FILTERNAME=help&lt;/code&gt;, Anwendung &lt;code&gt;-vf Filter1,Filter2=[],Filter3&lt;/code&gt;

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;strong&gt;Skalieren:&lt;/strong&gt; &lt;code&gt;scale=WIDTH:HEIGHT&lt;/code&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;strong&gt;Beschneiden:&lt;/strong&gt; &lt;code&gt;crop=WIDTH:HEIGHT:STARTX:STARTY&lt;/code&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;strong&gt;Grayscale:&lt;/strong&gt; &lt;code&gt;-lavcopts TTT:gray&lt;/code&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Filter&quot; [387-650] --&gt;
&lt;h2&gt;&lt;a name=&quot;beispiele&quot; id=&quot;beispiele&quot;&gt;Beispiele&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;pre class=&quot;code&quot;&gt;
$ mencoder video.ogg -ovc lavc -oac mp3lame -lavcopts vqscale=2:vbitrate=4000 -vf crop=600:480:60:48,scale=600:336 -o video.avi
&lt;/pre&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Beispiele&quot; [651-] --&gt;</summary>
    </entry>
    <entry>
        <title>Kaufinspiration</title>
        <link rel="alternate" type="text/html" href="http://eye48.com/dokuwiki/doku.php?id=pkm:beastieboys:kaufen"/>
        <published>2010-06-08T03:56:00+02:00</published>
        <updated>2010-06-08T03:56:00+02:00</updated>
        <id>http://eye48.com/dokuwiki/doku.php?id=pkm:beastieboys:kaufen</id>
        <author>
            <name>Michael Haschke</name>
        </author>
        <summary>


&lt;h1&gt;&lt;a name=&quot;kaufinspiration&quot; id=&quot;kaufinspiration&quot;&gt;Kaufinspiration&lt;/a&gt;&lt;/h1&gt;
&lt;div class=&quot;level1&quot;&gt;
&lt;div class=&quot;tags&quot;&gt;&lt;span&gt;
	&lt;a href=&quot;http://eye48.com/dokuwiki/doku.php?id=tag:beastie-boys&amp;amp;do=showtag&amp;amp;tag=tag%3Abeastie-boys&quot; class=&quot;wikilink1&quot; title=&quot;tag:beastie-boys&quot; rel=&quot;tag&quot;&gt;Beastie-Boys&lt;/a&gt;
&lt;/span&gt;&lt;/div&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Kaufinspiration&quot; [1-53] --&gt;
&lt;h2&gt;&lt;a name=&quot;section1985&quot; id=&quot;section1985&quot;&gt;1985&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=rockhardtp,rockhard,rockhard12eurepress,rockhard12boot&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=rockhardtp,rockhard,rockhard12eurepress,rockhard12boot&quot;&gt;Rock Hard 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=slowlow7uspromo&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=slowlow7uspromo&quot;&gt;Slow And Low 7&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=drummachine12us,drummachine12eurepress,drummachine12boot&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=drummachine12us,drummachine12eurepress,drummachine12boot&quot;&gt;MCA &amp;amp; Burzootie, Drum Machine 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;1985&quot; [54-414] --&gt;
&lt;h2&gt;&lt;a name=&quot;section1986&quot; id=&quot;section1986&quot;&gt;1986&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=hinhi7uspromo,hinhi7us,hinhi7uk,hinhi12us,hinhi12ca,hinhi12uk,hinhi12johan,hinhi12johan2&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=hinhi7uspromo,hinhi7us,hinhi7uk,hinhi12us,hinhi12ca,hinhi12uk,hinhi12johan,hinhi12johan2&quot;&gt;Hold It, Now Hit It 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=lti77frpromo&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=lti77frpromo&quot;&gt;Licensed To Ill 7x7&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=newstyle7uspromo,newstyle7us,newstyle7ca,newstyle7uk,newstyle7nl,newstyle12us,newstyle12uk,newstyle12ukclub,newstyle12ca,newstyle12nl,newstyle12double&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=newstyle7uspromo,newstyle7us,newstyle7ca,newstyle7uk,newstyle7nl,newstyle12us,newstyle12uk,newstyle12ukclub,newstyle12ca,newstyle12nl,newstyle12double&quot;&gt;It&amp;#039;s The New Style 7&amp;quot;, 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=bm7uspromo,bm7jappromo,bm7us,bm7ca,bm7nl,bm7jap,bm7nz,bm7cr,bm12nl&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=bm7uspromo,bm7jappromo,bm7us,bm7ca,bm7nl,bm7jap,bm7nz,bm7cr,bm12nl&quot;&gt;Brass Monkey 7&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;1986&quot; [415-1041] --&gt;
&lt;h2&gt;&lt;a name=&quot;section1987&quot; id=&quot;section1987&quot;&gt;1987&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=girls7uk,girls7ukposter,girls7ukpatch,girls7ukpicdisctp,girls7ukpicdisc,girls12uktestpress,girls12ukpromo,girls12uk,girls12ukxrated&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=girls7uk,girls7ukposter,girls7ukpatch,girls7ukpicdisctp,girls7ukpicdisc,girls12uktestpress,girls12ukpromo,girls12uk,girls12ukxrated&quot;&gt;Girls 7&amp;quot;, 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=ffyr7artp,ffyr7ar,ffyr7mxpromo,ffyr7espromo,ffyr7uspromo,ffyr7jppromo,ffyr7us,ffyr7ca,ffyr7uk,ffyr7nl,ffyr7au,ffyr7nz,ffyr7jp,ffyr7es,ffyr7ph,ffyr7ushall,ffyr12uspromo,ffyr12espromo,ffyr12ukclub,ffyr12uk1tp,ffyr12uk1,ffyr12ukboot,ffyr12uk2,ffyr12nl,ffyr12es,ffyr12au,ffyr12oldgold,ffyr12eu2005&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=ffyr7artp,ffyr7ar,ffyr7mxpromo,ffyr7espromo,ffyr7uspromo,ffyr7jppromo,ffyr7us,ffyr7ca,ffyr7uk,ffyr7nl,ffyr7au,ffyr7nz,ffyr7jp,ffyr7es,ffyr7ph,ffyr7ushall,ffyr12uspromo,ffyr12espromo,ffyr12ukclub,ffyr12uk1tp,ffyr12uk1,ffyr12ukboot,ffyr12uk2,ffyr12nl,ffyr12es,ffyr12au,ffyr12oldgold,ffyr12eu2005&quot;&gt;Fight For Your Right 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;1987&quot; [1042-1625] --&gt;
&lt;h2&gt;&lt;a name=&quot;section1989&quot; id=&quot;section1989&quot;&gt;1989&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=heyladies7frtp,heyladies7uspromo,heyladies7us,heyladies7uk,heyladies7ca,heyladies7au,heyladies7fr,heyladies7at,heyladies7it&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=heyladies7frtp,heyladies7uspromo,heyladies7us,heyladies7uk,heyladies7ca,heyladies7au,heyladies7fr,heyladies7at,heyladies7it&quot;&gt;Hey Ladies 7&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=shadrach7uspromo,shadrach7us&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=shadrach7uspromo,shadrach7us&quot;&gt;Shadrach 7&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;1989&quot; [1626-1923] --&gt;
&lt;h2&gt;&lt;a name=&quot;section1992&quot; id=&quot;section1992&quot;&gt;1992&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=sowhat12us,sowhat12de,sowhat12boot&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=sowhat12us,sowhat12de,sowhat12boot&quot;&gt;So What&amp;#039;Cha Want 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=gratitude12us&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=gratitude12us&quot;&gt;Gratitude 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=professorbooty12us&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=professorbooty12us&quot;&gt;Professor Booty 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=frozen12ukpromo,frozen12uk,frozen12ukwhite,frozen12boot&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=frozen12ukpromo,frozen12uk,frozen12ukwhite,frozen12boot&quot;&gt;Frozen Metal Head 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=fingerlickingood12us&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=fingerlickingood12us&quot;&gt;Finger Lickin&amp;#039; Good 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=bizvsnuge12uk1,bizvsnuge12uk2&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=bizvsnuge12uk1,bizvsnuge12uk2&quot;&gt;The Biz Vs The Nuge 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;1992&quot; [1924-2542] --&gt;
&lt;h2&gt;&lt;a name=&quot;section1993&quot; id=&quot;section1993&quot;&gt;1993&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=dflcrazy7ca&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=dflcrazy7ca&quot;&gt;DFL, My Crazy Life 7&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;1993&quot; [2543-2645] --&gt;
&lt;h2&gt;&lt;a name=&quot;section1994&quot; id=&quot;section1994&quot;&gt;1994&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=sob10uk,sob10boot,sob12us,sob12ca,sob12gr&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=sob10uk,sob10boot,sob12us,sob12ca,sob12gr&quot;&gt;Some Old Bullshit 10&amp;quot;, 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=git7usjukewhite,git7usjuke,git7ukgreen,git10uk,git12ustp,git12uspromo,git12uspromo2,git12uspromo3,git12uspromo4,git12ukpromo,git12us,git12boot&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=git7usjukewhite,git7usjuke,git7ukgreen,git10uk,git12ustp,git12uspromo,git12uspromo2,git12uspromo3,git12uspromo4,git12ukpromo,git12us,git12boot&quot;&gt;Get It Together 7&amp;quot;, 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=sure7usjukeblue,sure7ukred,sure10uk,sure12uspromo,sure12ukpromo,sure12us,sure12ukboot,sure12funkobots,sure12jpboot&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=sure7usjukeblue,sure7ukred,sure10uk,sure12uspromo,sure12ukpromo,sure12us,sure12ukboot,sure12funkobots,sure12jpboot&quot;&gt;Shure Shot 7&amp;quot;, 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=hurrahardcore10us&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=hurrahardcore10us&quot;&gt;Hurricane/DFL, America&amp;#039;s Most Hardcore 10&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;1994&quot; [2646-3295] --&gt;
&lt;h2&gt;&lt;a name=&quot;section1995&quot; id=&quot;section1995&quot;&gt;1995&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=aglio7au,aglio12ustp,aglio12cabrown&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=aglio7au,aglio12ustp,aglio12cabrown&quot;&gt;Aglio E Olio 2x7&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=bsbs200012us,bsbs200012uspink,bsbs200012boot&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=bsbs200012us,bsbs200012uspink,bsbs200012boot&quot;&gt;DJ Hurrican, The Hurra 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;1995&quot; [3296-3540] --&gt;
&lt;h2&gt;&lt;a name=&quot;section1997&quot; id=&quot;section1997&quot;&gt;1997&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=bsbs200012us,bsbs200012uspink,bsbs200012boot&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=bsbs200012us,bsbs200012uspink,bsbs200012boot&quot;&gt;BS2000 LP&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=bflhellhouse12us&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=bflhellhouse12us&quot;&gt;Big Fat Love, Hell House LP&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;1997&quot; [3541-3759] --&gt;
&lt;h2&gt;&lt;a name=&quot;section1999&quot; id=&quot;section1999&quot;&gt;1999&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=3mcsrem10ukpromo&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=3mcsrem10ukpromo&quot;&gt;Three MC&amp;#039;s And One DJ + Remote Control 10&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;1999&quot; [3760-3888] --&gt;
&lt;h2&gt;&lt;a name=&quot;section2000&quot; id=&quot;section2000&quot;&gt;2000&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=neglim12usboot,neglim12boot&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=neglim12usboot,neglim12boot&quot;&gt;The Negotiation Limerick File 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=anthologylpustp,anthologylpus&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=anthologylpustp,anthologylpus&quot;&gt;The Sounds Of Science 4LP&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=start12uk,start12uk2&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=start12uk,start12uk2&quot;&gt;Start! 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=bsbeach7jppromo&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=bsbeach7jppromo&quot;&gt; BS2000 Beach Blanket Boggle Boogie 7&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=bsbuddy7us,bsbuddy7uk&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=bsbuddy7us,bsbuddy7uk&quot;&gt;BS2000 Buddy 7&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;2000&quot; [3889-4400] --&gt;
&lt;h2&gt;&lt;a name=&quot;section2003&quot; id=&quot;section2003&quot;&gt;2003&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=iawgm12promo,iawgm12jpboot&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=iawgm12promo,iawgm12jpboot&quot;&gt;In A World Gone Mad 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;2003&quot; [4401-4520] --&gt;
&lt;h2&gt;&lt;a name=&quot;section2007&quot; id=&quot;section2007&quot;&gt;2007&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=mixup12ukpromo&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=mixup12ukpromo&quot;&gt;The Mix-Up Sampler 12&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;2007&quot; [4521-4627] --&gt;
&lt;h2&gt;&lt;a name=&quot;section2009&quot; id=&quot;section2009&quot;&gt;2009&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=leemajors7uspromo&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=leemajors7uspromo&quot;&gt;Lee Majors Come Again 7&amp;quot;&lt;/a&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;2009&quot; [4628-4739] --&gt;
&lt;h2&gt;&lt;a name=&quot;section2010&quot; id=&quot;section2010&quot;&gt;2010&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;a href=&quot;http://beastiemania.com/discog/show.php?r=halsfy12usrecstoreday&quot; class=&quot;urlextern&quot; title=&quot;http://beastiemania.com/discog/show.php?r=halsfy12usrecstoreday&quot;&gt;Here&amp;#039;s A Little Something For Ya 12&amp;quot;&lt;/a&gt; (Record Store Day “Super Surprise”)&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;2010&quot; [4740-] --&gt;</summary>
    </entry>
    <entry>
        <title>Formeln Elektrodynamik - Induktion &amp; Induktivität: Menge Magnetfeld, Farad. G., Lenzsche Regel, Energietransfer, Induktivität, Selbstind., RL-Glied, Energiespeicherung, Energiedichte, Gegeninduktion</title>
        <link rel="alternate" type="text/html" href="http://eye48.com/dokuwiki/doku.php?id=de:studium:experimentalphysik-3-und-4:formeln-elektrodynamik"/>
        <published>2010-06-03T03:46:51+02:00</published>
        <updated>2010-06-03T03:46:51+02:00</updated>
        <id>http://eye48.com/dokuwiki/doku.php?id=de:studium:experimentalphysik-3-und-4:formeln-elektrodynamik</id>
        <author>
            <name>Michael Haschke</name>
        </author>
        <summary>


&lt;h1&gt;&lt;a name=&quot;formeln-elektrodynamik&quot; id=&quot;formeln-elektrodynamik&quot;&gt;Formeln Elektrodynamik&lt;/a&gt;&lt;/h1&gt;
&lt;div class=&quot;level1&quot;&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Formeln Elektrodynamik&quot; [1-38] --&gt;
&lt;h2&gt;&lt;a name=&quot;elektrische-ladung&quot; id=&quot;elektrische-ladung&quot;&gt;Elektrische Ladung&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Elektrische Ladung&quot; [39-70] --&gt;
&lt;h3&gt;&lt;a name=&quot;elementarladung&quot; id=&quot;elementarladung&quot;&gt;Elementarladung&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

&lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_8df8cac93def6e2dd35913073588ca26.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;q = n e&quot; title=&quot;q = n e&quot;/&gt;
&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; q – Ladung&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; n – Quantität &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_9985a287183eb930afe70206cc21979d.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;n=pm{1},pm{2},pm{3},...&quot; title=&quot;n=pm{1},pm{2},pm{3},...&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Elementarladung e = 1,60*10&lt;sup&gt;-19&lt;/sup&gt; C [Coulomb]&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Elementarladung&quot; [71-238] --&gt;
&lt;h3&gt;&lt;a name=&quot;coulomb-gesetz&quot; id=&quot;coulomb-gesetz&quot;&gt;Coulomb-Gesetz&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

&lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_7a22db7e63b07f2683b602294e622c48.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;F_E = k {{delim{|}{q_1}{|} delim{|}{q_2}{|}}/r^2}&quot; title=&quot;F_E = k {{delim{|}{q_1}{|} delim{|}{q_2}{|}}/r^2}&quot;/&gt;

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; F&lt;sub&gt;E&lt;/sub&gt; – elektrostatische Kraft&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; q – Ladungen (der Punktladungen)&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; k – elektrostatische Konstante &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_3d07259b0cb9dad370bb73a61b15cf07.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;k = 1/ {4 pi epsilon_0}&quot; title=&quot;k = 1/ {4 pi epsilon_0}&quot;/&gt; mit Dielektrizitätskonstante &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_e027774dcf095cbff1c20cc3105ad0be.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;epsilon_0 = 8,85 * 10^{-12} C^2/{N m^2}&quot; title=&quot;epsilon_0 = 8,85 * 10^{-12} C^2/{N m^2}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Vergleiche Newtonsches Gravitationsgesetz &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_5a9c3d609bbefcd2f20323136ac1b7e1.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;F_G = G {{m_1 m_2}/r^2}&quot; title=&quot;F_G = G {{m_1 m_2}/r^2}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Coulomb-Gesetz&quot; [239-626] --&gt;
&lt;h2&gt;&lt;a name=&quot;elektrische-felder&quot; id=&quot;elektrische-felder&quot;&gt;Elektrische Felder&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Elektrische Felder&quot; [627-658] --&gt;
&lt;h3&gt;&lt;a name=&quot;elektrisches-feld&quot; id=&quot;elektrisches-feld&quot;&gt;Elektrisches Feld&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; potenzielle Energie &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_93627dd9d3874222817dd803083a2f2f.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;vec{E_E} = vec{F_E}/q_0&quot; title=&quot;vec{E_E} = vec{F_E}/q_0&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; bzw. elektrostatische Kraft &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_a4569abe2c27e59637105c6466963948.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{F} = q vec{E}&quot; title=&quot;vec{F} = q vec{E}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Feldlinienrichtung: von positiv nach negativ&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; differenzielle Ladung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_446ee2c8c6408d96da2f8b38b1ba1067.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;dq = l ds&quot; title=&quot;dq = l ds&quot;/&gt; mit l als Ladungsdichte:&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_7586e479ffdfbfe64d4be471c0654391.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;lambda&quot; title=&quot;lambda&quot;/&gt; – lineare Ladungsdichte [C/m]&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_4eee026b81b3e0f954e8619499ad2e95.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;sigma&quot; title=&quot;sigma&quot;/&gt; – flächige Ladungsdichte [C/m&lt;sup&gt;2&lt;/sup&gt;]&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_8f489aa21fb37cfaafe49e71b52914c3.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;rho&quot; title=&quot;rho&quot;/&gt; – räumliche Ladungsdichte [C/m&lt;sup&gt;3&lt;/sup&gt;]&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Elektrisches Feld&quot; [659-1096] --&gt;
&lt;h3&gt;&lt;a name=&quot;dipol-im-elektrischen-feld&quot; id=&quot;dipol-im-elektrischen-feld&quot;&gt;Dipol im elektrischen Feld&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Dipolmoment &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_1aed601cefb4f53f10d47275281e4a86.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{p} = q vec{d}&quot; title=&quot;vec{p} = q vec{d}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; q – elektrisch entgegengesetzte Ladungen&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; d – Abstand der Ladungen&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Drehmoment um Schwerpunkt &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_08bf8f8736e935b4c86a18b06e93eadd.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;vec{tau} = vec{p} * vec{E_E}&quot; title=&quot;vec{tau} = vec{p} * vec{E_E}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993_bbe507ad98d5ba19618b72b6da930ac7.png&quot; style=&quot;vertical-align:-7px; display: inline-block ;&quot; alt=&quot;tau = F d sin{theta}&quot; title=&quot;tau = F d sin{theta}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; E – Feldstärke des äußeren homogenen eletrostatischen Feldes&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; F – Kraft auf Ladungen im Feld&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993_dfcdced295ae300b5c8b4b2f956174b0.png&quot; style=&quot;vertical-align:-7px; display: inline-block ;&quot; alt=&quot;theta&quot; title=&quot;theta&quot;/&gt; – Drehwinkel Dipol zum Feld, für &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_1b5b0f1bfc276496f2ac21892aa12531.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{p}&quot; title=&quot;vec{p}&quot;/&gt; parallel zu &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_bafa146ff9eea10a3a8d53fed4d7276d.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;vec{E_E}&quot; title=&quot;vec{E_E}&quot;/&gt; ist &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993_dfcdced295ae300b5c8b4b2f956174b0.png&quot; style=&quot;vertical-align:-7px; display: inline-block ;&quot; alt=&quot;theta&quot; title=&quot;theta&quot;/&gt;=0°&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Potenzielle Energie &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_34e9eabd05312a2ea883f0f3f08fe227.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;U = -vec{p} vec{E_E} = -p E cos{theta}&quot; title=&quot;U = -vec{p} vec{E_E} = -p E cos{theta}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Potentielle Energie = Lage Dipol zum Feld&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Wahl des Nullpunkts für U bei &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993_dfcdced295ae300b5c8b4b2f956174b0.png&quot; style=&quot;vertical-align:-7px; display: inline-block ;&quot; alt=&quot;theta&quot; title=&quot;theta&quot;/&gt;=90°&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Dipol im elektrischen Feld&quot; [1097-1755] --&gt;
&lt;h2&gt;&lt;a name=&quot;elektrisches-potenzial&quot; id=&quot;elektrisches-potenzial&quot;&gt;Elektrisches Potenzial&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; potentielle Energie &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_986_c069561d51c28e66420d4540e88a985e.png&quot; style=&quot;vertical-align:-14px; display: inline-block ;&quot; alt=&quot;Delta{U} = U_E - U_A = -W&quot; title=&quot;Delta{U} = U_E - U_A = -W&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; gemessen in Joule [J]&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; elektrisches Potential &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_4c3278cf845e6524dcd6d11ba92112c4.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;V = U/q&quot; title=&quot;V = U/q&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; pot. Energie U pro Einheitsladung q in Punkt des elektrischen Feldes&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Einheit Volt [V] = [J/C]&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Arbeit einer äußeren Kraft &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_986_34b3b642791ed740d2c0b12eb6183242.png&quot; style=&quot;vertical-align:-14px; display: inline-block ;&quot; alt=&quot;W_a = q Delta{U}&quot; title=&quot;W_a = q Delta{U}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Potenzial(differenz) aus Feld: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_966.5_dd44e48267f2a146c7191c1fe556a4b5.png&quot; style=&quot;vertical-align:-33.5px; display: inline-block ;&quot; alt=&quot;V_E - V_A = - int{A}{E}{vec{E} d{vec{s}}}&quot; title=&quot;V_E - V_A = - int{A}{E}{vec{E} d{vec{s}}}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; gleiches Ergebnis für alle Wege zwischen A und E&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Potenzial einer Punktladung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_a60c9d01f4d92c5c4a37ebf9d19fc565.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;V = k q/r&quot; title=&quot;V = k q/r&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; k – elektrostatische Konstante &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_3d07259b0cb9dad370bb73a61b15cf07.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;k = 1/ {4 pi epsilon_0}&quot; title=&quot;k = 1/ {4 pi epsilon_0}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; q – Punktladung im Feld&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; r – Abstand von Feldursprung (andere Punktladung)&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Elektrisches Potenzial&quot; [1756-2428] --&gt;
&lt;h2&gt;&lt;a name=&quot;kapazitaet&quot; id=&quot;kapazitaet&quot;&gt;Kapazität&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Kapazität eines Kondensators &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_4dfbb82fcb2e4e3bfcabb55ad050415a.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;C = q/V = epsilon_0 A/d&quot; title=&quot;C = q/V = epsilon_0 A/d&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; gemessen in Farad [F] = Coulomb [C] / Volt [V]&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; q – Ladung des Kondesators&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_b48f95d206ae04776dece6f8673ad5d1.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;epsilon_0&quot; title=&quot;epsilon_0&quot;/&gt; – Dielektrizitätskonstante &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_e027774dcf095cbff1c20cc3105ad0be.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;epsilon_0 = 8,85 * 10^{-12} C^2/{N m^2}&quot; title=&quot;epsilon_0 = 8,85 * 10^{-12} C^2/{N m^2}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; d – Plattenabstand&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; A – Plattenflächen&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Allgemeiner Lösungsweg zur Berechnung Kapazität:&lt;/div&gt;
&lt;ol&gt;
&lt;li class=&quot;level3&quot;&gt;&lt;div class=&quot;li&quot;&gt; Berechnung Feld E (z.B. Gaußscher Satz &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_980.5_6ab0b42ad582fe8d922d253a56a4cbea.png&quot; style=&quot;vertical-align:-19.5px; display: inline-block ;&quot; alt=&quot;q = epsilon_0 oint{}{}{vec{E} d{vec{A}}} = epsilon_0 E A&quot; title=&quot;q = epsilon_0 oint{}{}{vec{E} d{vec{A}}} = epsilon_0 E A&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level3&quot;&gt;&lt;div class=&quot;li&quot;&gt; Berechnung Potenzialdifferenz V&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level3&quot;&gt;&lt;div class=&quot;li&quot;&gt; aus V ergibt sich C&lt;/div&gt;
&lt;/li&gt;
&lt;/ol&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Parallelschaltung: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976.5_323405727db02bc49d93e7eaed16e127.png&quot; style=&quot;vertical-align:-23.5px; display: inline-block ;&quot; alt=&quot;C_{äq} = C_1 + C_2 + C_3 + ... = sum{j=1}{n}{C_j}&quot; title=&quot;C_{äq} = C_1 + C_2 + C_3 + ... = sum{j=1}{n}{C_j}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Reihenschaltung: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_968_cdc361b4e3fa22e708527364953ed47f.png&quot; style=&quot;vertical-align:-32px; display: inline-block ;&quot; alt=&quot;1/C_{äq} = 1/C_1 + 1/C_2 + 1/C_3 + ... = sum{j=1}{n}{1/C_j}&quot; title=&quot;1/C_{äq} = 1/C_1 + 1/C_2 + 1/C_3 + ... = sum{j=1}{n}{1/C_j}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Arbeit W zur Aufladung des Kondensators wird als potenzielle Energie U im Kondensator gespeichert: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_0222350ce778bcee3ca71cd18585b14e.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;-W = U = q^2/{2 C} = 1/2 C V^2&quot; title=&quot;-W = U = q^2/{2 C} = 1/2 C V^2&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Energiedichte &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_2d51605b2389f8acbeadf1eacc74c40b.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;u = U/{A d} = 1/2 epsilon_0 E^2&quot; title=&quot;u = U/{A d} = 1/2 epsilon_0 E^2&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Voraussetzung: homogenes Feld&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; elektrische potenzielle Energie pro Einheitsvolumen&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Kapazität&quot; [2429-3456] --&gt;
&lt;h2&gt;&lt;a name=&quot;elektrischer-strom-und-widerstand&quot; id=&quot;elektrischer-strom-und-widerstand&quot;&gt;Elektrischer Strom und Widerstand&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Elektrischer Strom und Widerstand&quot; [3457-3503] --&gt;
&lt;h3&gt;&lt;a name=&quot;strom&quot; id=&quot;strom&quot;&gt;Strom&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Strom &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_417b71a00290dd1716139fa8f2bb9240.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;i = {dq}/{dt}&quot; title=&quot;i = {dq}/{dt}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Ladungsmenge dq während Zeit dt durch gedachte Querschnittsebene des Leiters&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Ladungsmenge &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976.5_eda5aa243a6698f40ee2f10230dee237.png&quot; style=&quot;vertical-align:-23.5px; display: inline-block ;&quot; alt=&quot;q = int{}{}{dq} = int{0}{t}{i dt}&quot; title=&quot;q = int{}{}{dq} = int{0}{t}{i dt}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Einheit: 1 Ampere [A] = 1 Coulomb [C] / Sekunde [s]&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Ladungserhaltungssatz &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_d8f15e786340c7b4b63d44ee09db689b.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;i_0 = i_1 + i_2&quot; title=&quot;i_0 = i_1 + i_2&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Stromdichte &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_b612dfbba0d3702fc261a42d9c22111e.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;J = i/A&quot; title=&quot;J = i/A&quot;/&gt;, da &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_980.5_c6f56be0ad17bd13a9aaafb657355895.png&quot; style=&quot;vertical-align:-19.5px; display: inline-block ;&quot; alt=&quot;i = int{}{}{vec{J} d{vec{A}}}&quot; title=&quot;i = int{}{}{vec{J} d{vec{A}}}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; beschreibt Ladungsfluss durch Querschnitt eines Leiters an bestimmtem Punkt&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; mit Driftgeschwindigkeit v&lt;sub&gt;D&lt;/sub&gt;: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_ff82d972352a2628d760f617479c4ee7.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;vec{J} = n e vec{v_D}&quot; title=&quot;vec{J} = n e vec{v_D}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level3&quot;&gt;&lt;div class=&quot;li&quot;&gt; Driftgeschwindigkeit überlagert ungeordnete/zufällige (therm.) Bewegung der Leitungselektronen, sofern sich Leiter in äußeren Feld befindet&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level3&quot;&gt;&lt;div class=&quot;li&quot;&gt; V&lt;sub&gt;D&lt;/sub&gt; ist sehr klein gegenüber ungeordneter Bewegung&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Strom&quot; [3504-4257] --&gt;
&lt;h3&gt;&lt;a name=&quot;widerstand&quot; id=&quot;widerstand&quot;&gt;Widerstand&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; elektrischer Widerstand &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_39beb5d05802831fdc38aa6c7e478246.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;R = V/i&quot; title=&quot;R = V/i&quot;/&gt; als Meßgröße&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; spezifischer Widerstand &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_f688568e921eddde5cc792f291cd5141.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;rho = E/J&quot; title=&quot;rho = E/J&quot;/&gt; als Materialeigenschaft isotroper Stoffe&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Betrachtung von E innerhalb des Materials&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_b9ed65355b6db79752103aa72197564b.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{E} = rho vec{J}&quot; title=&quot;vec{E} = rho vec{J}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Leitfähigkeit &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_9ff39cd7c7dfdf5dbde9fa886a9047ec.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;sigma = 1/rho&quot; title=&quot;sigma = 1/rho&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; auch &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_f0c0eba582d70fc12b56f97db006cc8b.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;rho = m/{e^2 n tau}&quot; title=&quot;rho = m/{e^2 n tau}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level3&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_fd5d70b980ec9c9c74f509da54de7e95.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;tau&quot; title=&quot;tau&quot;/&gt; – Zeit zwischen Stößen&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_9baf234c454b7eab884a98c4c374fa6b.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;R = rho L/A&quot; title=&quot;R = rho L/A&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; L – Länge des Leiters&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; A – Querschnittsfläche des Leiters&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; spezifischer Widerstand bei Temperaturänderungen &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_983_266df0f6e38e4f3e3fb3b2c7bda447fa.png&quot; style=&quot;vertical-align:-17px; display: inline-block ;&quot; alt=&quot;rho - rho_0 = rho_0 alpha (T - T_0)&quot; title=&quot;rho - rho_0 = rho_0 alpha (T - T_0)&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_1f8df94f3f6cda5cee281a1dabd1c8de.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;rho_0&quot; title=&quot;rho_0&quot;/&gt; – spezifischer Widerstand bei Referenztemperatur&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; T&lt;sub&gt;0&lt;/sub&gt; – Referenztemperatur&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_d50f9308cbed63f78681eb5d428d5a8d.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;alpha&quot; title=&quot;alpha&quot;/&gt; – Temperaturkoeffizient des spez. Widerstands&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Widerstand&quot; [4258-5004] --&gt;
&lt;h3&gt;&lt;a name=&quot;elektrische-leistung&quot; id=&quot;elektrische-leistung&quot;&gt;Elektrische Leistung&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; elektrisches Potenzial &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_f16a5933796f4871ce725f6fba82b359.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;dU = dq V = i dt V&quot; title=&quot;dU = dq V = i dt V&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; elektrische Leistung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_7bb8183a64daff2ec5d0c9bf15b1a45e.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;P = {dU}/{dt} = i V&quot; title=&quot;P = {dU}/{dt} = i V&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Umwandlungsrate, zeitliche Rate für Energieübertragung (z.B. von Batterie auf Bauelement)&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Verlust elektr. potenzieller Energie erscheint als Wärme (mikroskopisch: Stöße im Gitter zwischen Elektronen, Molekülen und Atomen) → dissipiative Energie &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_de954b327e925dd658edf8069e33eae3.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;P_dis = i^2 R = V^2 / R&quot; title=&quot;P_dis = i^2 R = V^2 / R&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Elektrische Leistung&quot; [5005-5437] --&gt;
&lt;h3&gt;&lt;a name=&quot;leiter&quot; id=&quot;leiter&quot;&gt;Leiter&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; spezifischer Widerstand &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_f0c0eba582d70fc12b56f97db006cc8b.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;rho = m/{e^2 n tau}&quot; title=&quot;rho = m/{e^2 n tau}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; m – Masse&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; e – Elementarladung&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; n – Anzahl Ladungsträger&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_fd5d70b980ec9c9c74f509da54de7e95.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;tau&quot; title=&quot;tau&quot;/&gt; – Zeit zwischen Stößen zwischen Teilchen&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Leiter: n ist groß und schwach temperaturabhängig → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_8f489aa21fb37cfaafe49e71b52914c3.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;rho&quot; title=&quot;rho&quot;/&gt; steigt bei Temperaturanstieg an, da &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_fd5d70b980ec9c9c74f509da54de7e95.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;tau&quot; title=&quot;tau&quot;/&gt; kleiner wird&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Halbleiter: n ist klein, wird aber mit Temperaturanstieg rasch größer → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_8f489aa21fb37cfaafe49e71b52914c3.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;rho&quot; title=&quot;rho&quot;/&gt; nimmt mit Temperaturanstieg ab&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Supraleiter: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_973.5_50f986d24221ee20557704d7a95a86b5.png&quot; style=&quot;vertical-align:-26.5px; display: inline-block ;&quot; alt=&quot;B_c(T) = B_0 [1 - (T/T_c)^2]&quot; title=&quot;B_c(T) = B_0 [1 - (T/T_c)^2]&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; B&lt;sub&gt;0&lt;/sub&gt;, T&lt;sub&gt;c&lt;/sub&gt; – materialspezifische Konstanten&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; unterhalb kritischer Temperatur T&lt;sub&gt;c&lt;/sub&gt; fällt Widerstand auf praktisch null&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; für jede Temparatur &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_97f1d4f4c98ee7e0a3fd70317db73570.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;T &lt; T_c&quot; title=&quot;T &lt; T_c&quot;/&gt; gibt es kritisches Magnetfeld B&lt;sub&gt;c&lt;/sub&gt;(T), oberhalb dessen das Material normalleitend ist&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Leiter&quot; [5438-6252] --&gt;
&lt;h2&gt;&lt;a name=&quot;stromkreise&quot; id=&quot;stromkreise&quot;&gt;Stromkreise&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;

&lt;p&gt;

&lt;strong&gt;WICHTIG:&lt;/strong&gt; aufgrund fehler Zeichen im math-Plugin, verwende ich &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_12ce62789f25d3dab0474863da47f80f.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;varepsilon&quot; title=&quot;varepsilon&quot;/&gt; für ein geschriebenes E.
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Stromkreise&quot; [6253-6388] --&gt;
&lt;h3&gt;&lt;a name=&quot;ideale-spannungsquelle&quot; id=&quot;ideale-spannungsquelle&quot;&gt;Ideale Spannungsquelle&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

→ setzt Ladungsbewegung innerhalb keinen Widerstand entgegen (kein innerer Widerstand in Spannungsquelle selber)

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Spannung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_64921cb3fa347d5f97d219ef5c313e88.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;varepsilon = {dW}/{dq}
    * W -- verrichtete Arbeit an Ladungsträgern
    * q -- Ladung
  * &lt;m&gt;varepsilon = i R&quot; title=&quot;varepsilon = {dW}/{dq}
    * W -- verrichtete Arbeit an Ladungsträgern
    * q -- Ladung
  * &lt;m&gt;varepsilon = i R&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_4460f7dc8dbe21d6e73f1a8426b32420.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;i = varepsilon/R&quot; title=&quot;i = varepsilon/R&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; da &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_c407b43b2588de8c144ae2af62d8c642.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;dW = varepsilon i dt&quot; title=&quot;dW = varepsilon i dt&quot;/&gt; und Energieerhaltungssatz &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_28ea73c6fbcaaf9c2cfb8c01c92c0f4c.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;dW = i^2 R dt&quot; title=&quot;dW = i^2 R dt&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_3178976a678006717a1f9e6044a215af.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;varepsilon i dt = i^2 R dt&quot; title=&quot;varepsilon i dt = i^2 R dt&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; über Potentialbetrachtung: Kirchhoffsche Machenregel &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_a379fb4ba20c8c2881257d938cd4d2f1.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;V_a + varepsilon + iR = V_a&quot; title=&quot;V_a + varepsilon + iR = V_a&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_4460f7dc8dbe21d6e73f1a8426b32420.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;i = varepsilon/R&quot; title=&quot;i = varepsilon/R&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Ideale Spannungsquelle&quot; [6389-6942] --&gt;
&lt;h3&gt;&lt;a name=&quot;reale-spannungsquelle&quot; id=&quot;reale-spannungsquelle&quot;&gt;Reale Spannungsquelle&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

→ Spannungsquelle mit Innenwiderstand

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Maschenregel: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_e1c9cc7ad67a2ea712e51b89ddfef853.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;varepsilon - ir -iR = 0&quot; title=&quot;varepsilon - ir -iR = 0&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_0fa4e50218d0e0c8ca2e5dfbbb4ac8af.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;i = varepsilon/{R+r}&quot; title=&quot;i = varepsilon/{R+r}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; r – Innenwiderstand der Spannungsquelle&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; R – Widerstand Stromkreis&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Reihenschaltung Widerstände: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_c77a398eb33160391af601b10b03460a.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;varepsilon - iR_1 - iR_2 - iR_3 - ... = 0&quot; title=&quot;varepsilon - iR_1 - iR_2 - iR_3 - ... = 0&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_9ff5b8c4472e1d03a699c2eb6b98cc5f.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;i = varepsilon/{R_1 + R_2 + R_3 + ...}&quot; title=&quot;i = varepsilon/{R_1 + R_2 + R_3 + ...}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_2d4e0d8980fe85fe2ddaf55e1780baa0.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;R_{äq} = R_1 + R_2 + R_3 + ...&quot; title=&quot;R_{äq} = R_1 + R_2 + R_3 + ...&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Potenzialdifferenz zwischen 2 unterschiedlichen herausgegriffenen Punkten: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_3d174dd7145633ece90a32ee7aa833c9.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;V_b -iR = V_a&quot; title=&quot;V_b -iR = V_a&quot;/&gt; (Maschenregel) und &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_0fa4e50218d0e0c8ca2e5dfbbb4ac8af.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;i = varepsilon/{R+r}&quot; title=&quot;i = varepsilon/{R+r}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_90c07913bf9512c231898d3ad02d8d6c.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;V_b - V_a = varepsilon R/{R+r}&quot; title=&quot;V_b - V_a = varepsilon R/{R+r}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Leistung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_39fed3ffb57c35c1d3ea0c8adaa4689a.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;P = iV&quot; title=&quot;P = iV&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_991.5_f40d2d73dd474604f105e2e38cfde3c3.png&quot; style=&quot;vertical-align:-8.5px; display: inline-block ;&quot; alt=&quot;P = i(varepsilon - ir) = i varepsilon - i^2 r&quot; title=&quot;P = i(varepsilon - ir) = i varepsilon - i^2 r&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Gesamtleistung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_8482ba4858132f18834a50379468daca.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;P_B = i varepsilon&quot; title=&quot;P_B = i varepsilon&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Dissipationsrate &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_5fa649f2d55c096eb40ab09f9cc9286b.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;P_r = i^2 r&quot; title=&quot;P_r = i^2 r&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Reale Spannungsquelle&quot; [6943-7710] --&gt;
&lt;h3&gt;&lt;a name=&quot;verzweigte-stromkreise&quot; id=&quot;verzweigte-stromkreise&quot;&gt;Verzweigte Stromkreise&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

Kirchhoffscher Satz (Verzweigungsregel): In Verzweigungen in Stromkreisen gilt: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976.5_44b84ff6d07593dba3bdee2949063b1c.png&quot; style=&quot;vertical-align:-23.5px; display: inline-block ;&quot; alt=&quot;sum{j=1}{n}{i_{ein_j}} = sum{j=1}{m}{i_{aus_j}}&quot; title=&quot;sum{j=1}{n}{i_{ein_j}} = sum{j=1}{m}{i_{aus_j}}&quot;/&gt;

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Parallelschaltung von Widerständen: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_973.5_44410ff7e5f010f9a475ba7a305918ac.png&quot; style=&quot;vertical-align:-26.5px; display: inline-block ;&quot; alt=&quot;i = i_1 + i_2 + i_3 = V(1/R_1 + 1/R_2 + 1/R_3) = V/R_{äq}&quot; title=&quot;i = i_1 + i_2 + i_3 = V(1/R_1 + 1/R_2 + 1/R_3) = V/R_{äq}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_968_3978cf2f73b9f0667614820546bf1da0.png&quot; style=&quot;vertical-align:-32px; display: inline-block ;&quot; alt=&quot;1/R_{äq} = sum{j=1}{n}{1/R_j}&quot; title=&quot;1/R_{äq} = sum{j=1}{n}{1/R_j}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Verzweigte Stromkreise&quot; [7711-8030] --&gt;
&lt;h3&gt;&lt;a name=&quot;rc-kreise&quot; id=&quot;rc-kreise&quot;&gt;RC-Kreise&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Laden des Kondensators: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_989d6dec436222471bba4b652bb91cdb.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;varepsilon - iR - q/C = 0&quot; title=&quot;varepsilon - iR - q/C = 0&quot;/&gt; (Maschenregel) → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_966.5_ebd3752b5dd3d7404f14b0c2214ca2fb.png&quot; style=&quot;vertical-align:-33.5px; display: inline-block ;&quot; alt=&quot;q(t) = C varepsilon (1 - e^{-{t/RC}})&quot; title=&quot;q(t) = C varepsilon (1 - e^{-{t/RC}})&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; e – Basis Exponentialfunktion&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; R – Ohmscher Widerstand&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; C – Kapazität&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; kapazitive Zeitkonstante &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_49d5b8c597f155ad8a37d31339db51ac.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;tau = RC&quot; title=&quot;tau = RC&quot;/&gt; – je größer &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_fd5d70b980ec9c9c74f509da54de7e95.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;tau&quot; title=&quot;tau&quot;/&gt;, desto größer die Ladedauer&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Potenzialdifferenz &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_e644912cffef05b0839195dbf4f2d4ea.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;V_C(t) = q(t)/C&quot; title=&quot;V_C(t) = q(t)/C&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_8e126d6775c5e268315cdca21c58c806.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;V_C(0) = 0&quot; title=&quot;V_C(0) = 0&quot;/&gt;, &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_b2d449333617d77797ca1ee68749dab1.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;V_C(infty) = varepsilon&quot; title=&quot;V_C(infty) = varepsilon&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Entladen eines Kondensators: Entladestrom &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_974_239876b90d4f0f59724f6ee32a6a9930.png&quot; style=&quot;vertical-align:-26px; display: inline-block ;&quot; alt=&quot;i(t) = {dq}/{dt} = -(q_0/{RC}) e^{-{t/RC}}&quot; title=&quot;i(t) = {dq}/{dt} = -(q_0/{RC}) e^{-{t/RC}}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_b4442fa274e39c880d2928283fa333cc.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;i_0 = i(t=0) = q_0/{RC} = V_0/R&quot; title=&quot;i_0 = i(t=0) = q_0/{RC} = V_0/R&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;RC-Kreise&quot; [8031-8611] --&gt;
&lt;h2&gt;&lt;a name=&quot;magnetfelder&quot; id=&quot;magnetfelder&quot;&gt;Magnetfelder&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Magnetfelder&quot; [8612-8637] --&gt;
&lt;h3&gt;&lt;a name=&quot;magnetfeld-b&quot; id=&quot;magnetfeld-b&quot;&gt;Magnetfeld B&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Experiment: geladenes Probeteilchen mit verschiedenen Geschwindigkeiten und Richtungen durch Raumpunkt schießen, wo &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_86d30361e503c3e8b5e116adcfb4ca3b.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{B}&quot; title=&quot;vec{B}&quot;/&gt; bestimmt werden soll&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Raumachse A und Geschwindigkeitsvektor &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_bd9a32ddfe08c4aca90fd9c899591019.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{v}&quot; title=&quot;vec{v}&quot;/&gt; sind parallel → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_d7569177dfe416e4ecf423efd4f648b7.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;vec{F_B} = 0&quot; title=&quot;vec{F_B} = 0&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_85deb7543baba47c55bb42845a1897a7.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;vec{F_B}&quot; title=&quot;vec{F_B}&quot;/&gt; proportional zu &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_beb2009c74f5459a22946a32636ee8ea.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;v sin{Phi}&quot; title=&quot;v sin{Phi}&quot;/&gt;, &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_3527afa896303b8c44bd52045b33ec30.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;Phi&quot; title=&quot;Phi&quot;/&gt; – Winkel zwischen &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_bd9a32ddfe08c4aca90fd9c899591019.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{v}&quot; title=&quot;vec{v}&quot;/&gt; und Achse A&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_85deb7543baba47c55bb42845a1897a7.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;vec{F_B}&quot; title=&quot;vec{F_B}&quot;/&gt; senkrecht zu &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_bd9a32ddfe08c4aca90fd9c899591019.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{v}&quot; title=&quot;vec{v}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_d377a4c12f8cdde021d788cb4bd2568b.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;B = F_B/{delim{|}{q}{|} v}&quot; title=&quot;B = F_B/{delim{|}{q}{|} v}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Einheit Tesla &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_965_57f45a876f06c65b9df7016be569a7c8.png&quot; style=&quot;vertical-align:-35px; display: inline-block ;&quot; alt=&quot;1 T = 1 N/{C m/s} = 1 N/{A m} = 10^4 G&quot; title=&quot;1 T = 1 N/{C m/s} = 1 N/{A m} = 10^4 G&quot;/&gt; (G = Gauß, keine SI-Einheit)&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Magnetfeld B&quot; [8638-9208] --&gt;
&lt;h3&gt;&lt;a name=&quot;magnetische-kraft&quot; id=&quot;magnetische-kraft&quot;&gt;Magnetische Kraft&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

&lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_979.5_4dac1580f15f015743eb3b2b0245afbc.png&quot; style=&quot;vertical-align:-20.5px; display: inline-block ;&quot; alt=&quot;vec{F_B} = q (vec{v} * vec{B})&quot; title=&quot;vec{F_B} = q (vec{v} * vec{B})&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_bd7cc1c13df258f8a896897db66820ca.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;F_B = delim{|}{q}{|} v B sin{Phi}&quot; title=&quot;F_B = delim{|}{q}{|} v B sin{Phi}&quot;/&gt;

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; F&lt;sub&gt;B&lt;/sub&gt;=0, wenn Ladung null, Teilchen in Ruhe oder Winkel zwischen v und B gleich 0° oder 180°&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_85deb7543baba47c55bb42845a1897a7.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;vec{F_B}&quot; title=&quot;vec{F_B}&quot;/&gt; immer senkrecht zu &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_bd9a32ddfe08c4aca90fd9c899591019.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{v}&quot; title=&quot;vec{v}&quot;/&gt; und &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_86d30361e503c3e8b5e116adcfb4ca3b.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{B}&quot; title=&quot;vec{B}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Rechte-Hand-Regel: Zeigefinger = &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_bd9a32ddfe08c4aca90fd9c899591019.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{v}&quot; title=&quot;vec{v}&quot;/&gt;, Mittelfinger = &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_86d30361e503c3e8b5e116adcfb4ca3b.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{B}&quot; title=&quot;vec{B}&quot;/&gt; → Daumen = &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_85deb7543baba47c55bb42845a1897a7.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;vec{F_B}&quot; title=&quot;vec{F_B}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; für -q entgegengesetzt des Daumens!&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Magnetische Kraft&quot; [9209-9653] --&gt;
&lt;h3&gt;&lt;a name=&quot;gekreuzte-felder&quot; id=&quot;gekreuzte-felder&quot;&gt;Gekreuzte Felder&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; senkrechte Überlagerung der Feldarten&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Thompson&amp;#039;s Versuch mit Kathodenstrahlröhre: erlaubt Messung von &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_12a260a8a1fa30f2a619c28543866b88.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;m/q&quot; title=&quot;m/q&quot;/&gt; für Teilchen → “Entdeckung des Elektrons”&lt;/div&gt;
&lt;ol&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; E=0, B=0 → Elektronenstrahl erzeugt Punkt S auf Schirm&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; E&amp;gt;0 → Messung der Ablenkung des Elektronenstrahls über Punkt S&amp;#039;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; E&amp;gt;0 bleibt konstant → Einregelung von B&amp;gt;0, dass Punkt S&amp;#039; zu S zurückkehrt&lt;/div&gt;
&lt;/li&gt;
&lt;/ol&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; im elektrischen Feld &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_23fa9c0539f9134298c34774e7d9895a.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{E}&quot; title=&quot;vec{E}&quot;/&gt; zwischen den Platten gilt: Ablenkung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_8161b30fdab4d6b142788fdfa806841d.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;y = {q E L^2}/{2 m v^2}&quot; title=&quot;y = {q E L^2}/{2 m v^2}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; L – Länge des Plattenzwischenraums&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Kompensierung der Kräfte: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_38bf1cebd7794111290b3d56e5866a8d.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;-vec{F_E} = vec{F_B}&quot; title=&quot;-vec{F_E} = vec{F_B}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_ecae6a6f4d3ca20712a4cbbed702c05d.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;delim{|}{q}{|} E = delim{|}{q}{|} v B sin{90°} = delim{|}{q}{|} v B&quot; title=&quot;delim{|}{q}{|} E = delim{|}{q}{|} v B sin{90°} = delim{|}{q}{|} v B&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_146c7792aac7d768cfa51a35d9e7202e.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;v = E/B&quot; title=&quot;v = E/B&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_aa9b2f337f82563e63cc64b02f686e9b.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;m/q = {B^2 L^2}/{2 y E}&quot; title=&quot;m/q = {B^2 L^2}/{2 y E}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Gekreuzte Felder&quot; [9654-10409] --&gt;
&lt;h3&gt;&lt;a name=&quot;hall-effekt&quot; id=&quot;hall-effekt&quot;&gt;Hall-Effekt&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; untersucht Ablenkung von Elektronen/Ladungsträgern in Leiterstreifen im Magnetfeld (siehe Karteikarte E23)&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Ladungsträger werden abgelenkt und sammeln sich auf einer Seite des Streifens&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; gegenpolarisierte Ladungsträger auf anderer Seite des Streifens → elektrostatisches Feld&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Hall-Spannung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_63ea224492828f78cdeee91d62ba8ba1.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;V_H = E d&quot; title=&quot;V_H = E d&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Potenzialdifferenz von &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_23fa9c0539f9134298c34774e7d9895a.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{E}&quot; title=&quot;vec{E}&quot;/&gt; über Streifenbreite d&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Kompensierung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_63f40294ed074aba991514ce29977147.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;vec{F_E} = vec{F_B}&quot; title=&quot;vec{F_E} = vec{F_B}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_bc28cdc9696f44e7b5a1999931c2ddc5.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;e E = e v_d B&quot; title=&quot;e E = e v_d B&quot;/&gt; mit &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_fb5cc6b3f950c65f70ba3577975c6788.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;v_d = J/{n e} = i/{n e A}&quot; title=&quot;v_d = J/{n e} = i/{n e A}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_1b244b8c7f01f4a03e85c462279d2896.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;n = {B i}/{V l e}&quot; title=&quot;n = {B i}/{V l e}&quot;/&gt; mit l=A/d&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; e – Elementarladung&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_539c0464990a94bdab56107615426d82.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;v_d&quot; title=&quot;v_d&quot;/&gt; – Driftgeschwindigkeit&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; A – Querschnitt&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; l – Dicke des Bandes&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Messung der Driftgeschwindigkeit: (Kupfer)band mechanisch durch Magnetfeld ziehen, entgegen der Driftgeschwindigkeit und V&lt;sub&gt;H&lt;/sub&gt; messen → Geschwindigkeit der mech. Bewegung ist Driftgeschwindigeit, wenn V&lt;sub&gt;H&lt;/sub&gt;=0 Volt&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Hall-Effekt&quot; [10410-11326] --&gt;
&lt;h3&gt;&lt;a name=&quot;geladene-teilchen-auf-kreisbahn&quot; id=&quot;geladene-teilchen-auf-kreisbahn&quot;&gt;Geladene Teilchen auf Kreisbahn&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

konstante Geschwindigkeit auf Kreisbahn → Betrag resultierender Kraft auf Teilchen ist konstant

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_de2f6cea98d0dbdd3ab333387dca5485.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;vec{F} = m vec{a} = {m v^2}/r = q v B&quot; title=&quot;vec{F} = m vec{a} = {m v^2}/r = q v B&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_812869df9a927618a2af1d90786babda.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;r = {m V}/{q B}&quot; title=&quot;r = {m V}/{q B}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_8a0465ec52061ab8717e5d7b58229f22.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{F}&quot; title=&quot;vec{F}&quot;/&gt; – Kraftvektor, zeigt auf Kreismittelpunkt und ist senkrecht zu Geschwindigkeitsvektor&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; r – Radius der Kreisbahn&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_1b53c484286ae2c43d922d968d1f5bae.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;T = {2 pi r}/v = {2 pi}/v · {m v}/{q B} = {2 pi m}/{q B}&quot; title=&quot;T = {2 pi r}/v = {2 pi}/v · {m v}/{q B} = {2 pi m}/{q B}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_c631e45f93afbeca1993457b45d75c58.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;f = 1/T = {q B}/{2 pi m}&quot; title=&quot;f = 1/T = {q B}/{2 pi m}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_abed3d5c85cbb5a830be540efc671bfa.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;omega = 2 pi f = {q B}/m&quot; title=&quot;omega = 2 pi f = {q B}/m&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; T – Periodendauer, Zeit pro Umdrehung&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; f – Frequenz, Umdrehungen pro Zeit&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_d5d7fc887b09fd7b99b987d72ecb47ad.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;omega&quot; title=&quot;omega&quot;/&gt; – Kreisfrequenz&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; wenn v « c, dann ist T, f, &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_d5d7fc887b09fd7b99b987d72ecb47ad.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;omega&quot; title=&quot;omega&quot;/&gt; von &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_bd9a32ddfe08c4aca90fd9c899591019.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{v}&quot; title=&quot;vec{v}&quot;/&gt; unabhängig → schnelle Teilchen = großer Kreis, langsame Teilchen = kleiner Kreis&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Schraubenbahnen (Helix): &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_bd9a32ddfe08c4aca90fd9c899591019.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{v}&quot; title=&quot;vec{v}&quot;/&gt; hat Komponente parallel zu &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_86d30361e503c3e8b5e116adcfb4ca3b.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{B}&quot; title=&quot;vec{B}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_57391ed5782d9ce98a97ba68298dc846.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;v_{||} = v cos{phi}&quot; title=&quot;v_{||} = v cos{phi}&quot;/&gt; → bestimmt Steigung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_8f489aa21fb37cfaafe49e71b52914c3.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;rho&quot; title=&quot;rho&quot;/&gt; der Helix&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_7247774eabf70f28685e8e98e64d10f0.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;v_{⊥} = v sin{phi}&quot; title=&quot;v_{⊥} = v sin{phi}&quot;/&gt; → bestimmt Radius der Helix&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Geladene Teilchen auf Kreisbahn&quot; [11327-12315] --&gt;
&lt;h3&gt;&lt;a name=&quot;magnetische-kraft-auf-stromdurchflossene-leiter&quot; id=&quot;magnetische-kraft-auf-stromdurchflossene-leiter&quot;&gt;Magnetische Kraft auf stromdurchflossene Leiter&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

→ Hall-Effekt → seitlich gerichtete Kraft auf Leitungselektronen → diese Kraft wirkt auf Draht

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_e9681e1a34953c51f4e400d9e74e4592.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;F_B = q v_d B sin{phi} = i L/v_d v_d B sin{phi}&quot; title=&quot;F_B = q v_d B sin{phi} = i L/v_d v_d B sin{phi}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_979.5_c1d2ab693b68356c7cf76b0c0fe26410.png&quot; style=&quot;vertical-align:-20.5px; display: inline-block ;&quot; alt=&quot;vec{F_B} = i · (vec{L} * vec{B})&quot; title=&quot;vec{F_B} = i · (vec{L} * vec{B})&quot;/&gt; bzw. &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_88b95a0d46ef947782d3da19ffd635ce.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;F_B = i L B sin{phi}&quot; title=&quot;F_B = i L B sin{phi}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_869bbc650ea5905a9e353f7cef00e478.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;F_B = i L B&quot; title=&quot;F_B = i L B&quot;/&gt; für &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_edbaf495a2884441a0ce975f00a3add5.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;phi = 90°&quot; title=&quot;phi = 90°&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_b93fdfac0dfaba4f184a1c0c5170a5d7.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;phi&quot; title=&quot;phi&quot;/&gt; – Winkel zwischen Driftgeschwindigkeit &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_908ed58af16215c5d702e35ca6d1fcf3.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;vec{v_d}&quot; title=&quot;vec{v_d}&quot;/&gt; und Magnetfeld &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_86d30361e503c3e8b5e116adcfb4ca3b.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{B}&quot; title=&quot;vec{B}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_5fe8296dcccc77bf41140529e6347477.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{L}&quot; title=&quot;vec{L}&quot;/&gt; – gerichtete Länge (mit Strom i) des Drahtes&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Magnetische Kraft auf stromdurchflossene Leiter&quot; [12316-12824] --&gt;
&lt;h3&gt;&lt;a name=&quot;drehmomement-auf-stromdurchflossene-drahtschleife&quot; id=&quot;drehmomement-auf-stromdurchflossene-drahtschleife&quot;&gt;Drehmomement auf stromdurchflossene Drahtschleife&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

Drehmoment &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_fafbc8d35077e3e031d13b6f5c50e3de.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{tau}&quot; title=&quot;vec{tau}&quot;/&gt; “versucht” Drahtschleife so auszurichten, dass ihr Normalenvektor &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_2ba94fdaab5742e1bad726b978d538e6.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{n}&quot; title=&quot;vec{n}&quot;/&gt; in Richtung von &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_86d30361e503c3e8b5e116adcfb4ca3b.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{B}&quot; title=&quot;vec{B}&quot;/&gt; zeigt.

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Drehmomentbetrag &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_f43a947daf5e95970160ce4d936e370f.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;tau prime = F_1 + F_3&quot; title=&quot;tau prime = F_1 + F_3&quot;/&gt; mit &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_14bcc15948dfdf6d0d7ee4e7ffe15cb8.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;F_1 = F_3 = i a B&quot; title=&quot;F_1 = F_3 = i a B&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_982_b14657dfeb69d80dee74dedff3753a74.png&quot; style=&quot;vertical-align:-18px; display: inline-block ;&quot; alt=&quot;tau prime = (i a B b/2 sin{theta}) + (i a B b/2 sin{theta}) = i a b B sin{theta}&quot; title=&quot;tau prime = (i a B b/2 sin{theta}) + (i a B b/2 sin{theta}) = i a b B sin{theta}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; F&lt;sub&gt;1&lt;/sub&gt;, F&lt;sub&gt;3&lt;/sub&gt; – Kräfte auf gegenüberliegende Schleifenseiten (parallel zur Schleifenachse) durch Hall-Effekt&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; a, b – Schleifen-Seitenlängen (a ist Seite, an der Kräfte wirken)&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993_dfcdced295ae300b5c8b4b2f956174b0.png&quot; style=&quot;vertical-align:-7px; display: inline-block ;&quot; alt=&quot;theta&quot; title=&quot;theta&quot;/&gt; – Winkel zwischen Magnetfeld und Schleife (über &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_1b4c32e42aecd72b0344c8b6301b1ef9.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{b}&quot; title=&quot;vec{b}&quot;/&gt;-Seiten)&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Drehmoment auf Spule: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_991.5_ddda72fac0143ffa077734acffd334e4.png&quot; style=&quot;vertical-align:-8.5px; display: inline-block ;&quot; alt=&quot;tau = N tau prime = N i a b B sin{theta} = (N i A) B sin{theta}&quot; title=&quot;tau = N tau prime = N i a b B sin{theta} = (N i A) B sin{theta}&quot;/&gt; mit &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_db0e80985c64c82c0d676f7bae67daa3.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;A = a b&quot; title=&quot;A = a b&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; N – Anzahl der Drahtschleifen, aus denen Spule besteht&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Drehmomement auf stromdurchflossene Drahtschleife&quot; [12825-13678] --&gt;
&lt;h3&gt;&lt;a name=&quot;magnetisches-dipolmoment&quot; id=&quot;magnetisches-dipolmoment&quot;&gt;Magnetisches Dipolmoment&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

Richtung von Dipolmoment &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_a50131a3d511523bbd0a219b8af1b5e3.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{mu}&quot; title=&quot;vec{mu}&quot;/&gt; ist identisch mit Normalenvektor &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_2ba94fdaab5742e1bad726b978d538e6.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{n}&quot; title=&quot;vec{n}&quot;/&gt; zur Spulenfläche.

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_3af177328a493a20b169671284a34a7f.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;delim{|}{mu}{|} = N i A&quot; title=&quot;delim{|}{mu}{|} = N i A&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993_22406c12cd4e4011e20c8aaad51e7eb9.png&quot; style=&quot;vertical-align:-7px; display: inline-block ;&quot; alt=&quot;tau = mu B sin{theta}&quot; title=&quot;tau = mu B sin{theta}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_5c32d07c97dd708e4176ee161a8f48db.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{tau} = vec{mu} * vec{B}&quot; title=&quot;vec{tau} = vec{mu} * vec{B}&quot;/&gt; (analog elektrischem Dipol)&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; N – Windungsanzahl der Spule&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Magnetisch potenzielle Energie des Dipols &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_991.5_93cc586bbfc3ebf6da72adb4936b30da.png&quot; style=&quot;vertical-align:-8.5px; display: inline-block ;&quot; alt=&quot;U(theta) = -vec{mu} · vec{B}&quot; title=&quot;U(theta) = -vec{mu} · vec{B}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Magnetisches Dipolmoment&quot; [13679-14074] --&gt;
&lt;h2&gt;&lt;a name=&quot;magnetfelder-aufgrund-von-stroemen&quot; id=&quot;magnetfelder-aufgrund-von-stroemen&quot;&gt;Magnetfelder aufgrund von Strömen&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Magnetfelder aufgrund von Strömen&quot; [14075-14122] --&gt;
&lt;h3&gt;&lt;a name=&quot;ladungsverteilung&quot; id=&quot;ladungsverteilung&quot;&gt;Ladungsverteilung&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_b8de31a998e1a600c57a5d3138965b42.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{E} {||} vec{r}&quot; title=&quot;vec{E} {||} vec{r}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976.5_d9e2ab38693948b70ee241c7356c3971.png&quot; style=&quot;vertical-align:-23.5px; display: inline-block ;&quot; alt=&quot;d vec{E} = k {dq}/r^3 vec{r}&quot; title=&quot;d vec{E} = k {dq}/r^3 vec{r}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_777de3ce6a6fe11f0ee24f65209c9912.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;dE = k {dq}/r^2&quot; title=&quot;dE = k {dq}/r^2&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976.5_8ee2d80e5ab682f2ebb63df6feac6919.png&quot; style=&quot;vertical-align:-23.5px; display: inline-block ;&quot; alt=&quot;k = 1/{4 pi epsilon_0} -- elektrostatische Konstante
    * r -- Abstand von dq zu Punkt P
  * &lt;m&gt;vec{B}&quot; title=&quot;k = 1/{4 pi epsilon_0} -- elektrostatische Konstante
    * r -- Abstand von dq zu Punkt P
  * &lt;m&gt;vec{B}&quot;/&gt; in Punkt P in nähe des Leiters → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_9d21cded4f7039078be313d41866a82a.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;dB = mu_0/{4 pi} {i ds sin{theta}}/r^2&quot; title=&quot;dB = mu_0/{4 pi} {i ds sin{theta}}/r^2&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Richtung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_ecfdaa7ed57a15f37cf06dd804c58520.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;d vec{B}&quot; title=&quot;d vec{B}&quot;/&gt; durch Vektorprodukt &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_d533f4094a0f565c843df459dfaaa117.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;d vec{s} * vec{r}&quot; title=&quot;d vec{s} * vec{r}&quot;/&gt; gegeben → Biot-Savart&amp;#039;sches Gesetz: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_9a9d6f543a0a8c85db68d9a74f995b32.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;d vec{B} = mu_0/{4 pi} {i (d vec{s} * vec{r})}/r^3&quot; title=&quot;d vec{B} = mu_0/{4 pi} {i (d vec{s} * vec{r})}/r^3&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_719cbd66a48de661c26228e919c7ab05.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;mu_0 = 4 pi · 10^{-7} T m/A&quot; title=&quot;mu_0 = 4 pi · 10^{-7} T m/A&quot;/&gt; – Vakuumpermeabilität&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Ladungsverteilung&quot; [14123-14680] --&gt;
&lt;h3&gt;&lt;a name=&quot;magnetfeld-von-strom-in-langen-geraden-leiter&quot; id=&quot;magnetfeld-von-strom-in-langen-geraden-leiter&quot;&gt;Magnetfeld von Strom in langen geraden Leiter&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Lenzsche Regel (Rechte-Hand-Regel für Magnetismus): Leiter mit rechter Hand umgreifen, Daumen in Stromrichtung → Finger zeigen in Richtung des Magnetfelds &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_86d30361e503c3e8b5e116adcfb4ca3b.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{B}&quot; title=&quot;vec{B}&quot;/&gt;.&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_950_3f5f62d5c8c35ad4d9bafc76ef31001e.png&quot; style=&quot;vertical-align:-50px; display: inline-block ;&quot; alt=&quot;B = 2 {mu_0 i}/{4 pi} int{0}{infty}{R/{(s^2 + R^2)^{3/2}} ds} = {mu_0 i}/{2 pi R} delim{[}{s/{sqrt{s^2 + R^2}}}{]} matrix{2}{1}{infty {s=0}} approx {mu_0 i}/{2 pi R}&quot; title=&quot;B = 2 {mu_0 i}/{4 pi} int{0}{infty}{R/{(s^2 + R^2)^{3/2}} ds} = {mu_0 i}/{2 pi R} delim{[}{s/{sqrt{s^2 + R^2}}}{]} matrix{2}{1}{infty {s=0}} approx {mu_0 i}/{2 pi R}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; R – Abstand Leiter zu Punkt P bei &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993_5b75340a1ec153f9642e92c19e77b2b2.png&quot; style=&quot;vertical-align:-7px; display: inline-block ;&quot; alt=&quot;Theta = 90°&quot; title=&quot;Theta = 90°&quot;/&gt; (bei s=0)&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; s – Länge des Leiters mit &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_ea96013841c8735501301d3eb4ba1f6f.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;r = sqrt{s^2 + R^2}&quot; title=&quot;r = sqrt{s^2 + R^2}&quot;/&gt;, wobei r Abstand von Leiter zu Punkt P bei &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_d74ce9b789d4b925e55139bdf01a46b4.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;s=infty&quot; title=&quot;s=infty&quot;/&gt; ist&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; gilt für unendlich langer Leiter&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Magnetfeld von Strom in langen geraden Leiter&quot; [14681-15325] --&gt;
&lt;h3&gt;&lt;a name=&quot;magnetfeld-eines-stroms-in-kreisbogen&quot; id=&quot;magnetfeld-eines-stroms-in-kreisbogen&quot;&gt;Magnetfeld eines Stroms in Kreisbogen&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

→ wie in langen Leiter, nur mit als Spezialfall mit &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_3f468e564b42860cef0c8f965e595a9a.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{r} = vec{R}&quot; title=&quot;vec{r} = vec{R}&quot;/&gt; und immer &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993_8efdd3cfe473078717a812fbb94222a7.png&quot; style=&quot;vertical-align:-7px; display: inline-block ;&quot; alt=&quot;Theta=90°&quot; title=&quot;Theta=90°&quot;/&gt;, Punkt P liegt in Kreiszentrum (r – Kreisradius)

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_e1da3cb9edc86e80d4db5838bc61c367.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;dB = {mu_0 i}/{4 pi} {ds}/R^2&quot; title=&quot;dB = {mu_0 i}/{4 pi} {ds}/R^2&quot;/&gt; mit &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_fe93d2c24cea90631916d5ca531abc93.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;ds = R · d phi&quot; title=&quot;ds = R · d phi&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_962_073fbd710cd6225a2729e7a51b77883e.png&quot; style=&quot;vertical-align:-38px; display: inline-block ;&quot; alt=&quot;B = int{}{}{dB} = int{0}{phi}{{mu_0 i}/{4 pi} {R d phi}/R^2} = {mu_0 i}/{4 pi R} int{0}{phi}{d phi} = {mu_0 i phi}/{4 pi R}&quot; title=&quot;B = int{}{}{dB} = int{0}{phi}{{mu_0 i}/{4 pi} {R d phi}/R^2} = {mu_0 i}/{4 pi R} int{0}{phi}{d phi} = {mu_0 i phi}/{4 pi R}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_b93fdfac0dfaba4f184a1c0c5170a5d7.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;phi&quot; title=&quot;phi&quot;/&gt; – Winkel in Bogenmaß&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Vollkreis &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_4120853844dd912942c1332cf58d759f.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;phi = 2 pi&quot; title=&quot;phi = 2 pi&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_0d3e44f5545eb5a81047783e8fbe51ce.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;B = {mu_0 i}/{2 R}&quot; title=&quot;B = {mu_0 i}/{2 R}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Magnetfeld eines Stroms in Kreisbogen&quot; [15326-15839] --&gt;
&lt;h3&gt;&lt;a name=&quot;kraft-zwischen-parallelen-stroemen&quot; id=&quot;kraft-zwischen-parallelen-stroemen&quot;&gt;Kraft zwischen parallelen Strömen&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Kraft auf Leiter b durch Strom in Leiter a: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_ed916ba25ff30ead40ff14b8b7c6f4df.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;B_a = {mu_0 i_a}/{2 pi d}&quot; title=&quot;B_a = {mu_0 i_a}/{2 pi d}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_980_af97b8ea01a2b49b0d83eb5dfee6518e.png&quot; style=&quot;vertical-align:-20px; display: inline-block ;&quot; alt=&quot;vec{F_{ba}} = i_b (vec{L} * vec{B_a}) = i_b L B_a sin{90°} = {mu_0 L i_a i_b}/{2 pi d}&quot; title=&quot;vec{F_{ba}} = i_b (vec{L} * vec{B_a}) = i_b L B_a sin{90°} = {mu_0 L i_a i_b}/{2 pi d}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; d – Abstand zwischen Leiter a und b&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_a00852a4f78086315cf369cf65bb6de6.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;i_a&quot; title=&quot;i_a&quot;/&gt;, &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_41e143c3ab3d58a001eea18f9e7a075c.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;i_b&quot; title=&quot;i_b&quot;/&gt; – Strom in Leiter a bzw. b&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; → analog: Kraft auf a durch Strom in b &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_66358168ee8ad68bca15fd71991b6304.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;vec{F_{ab}}&quot; title=&quot;vec{F_{ab}}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; → parallele Ströme ziehen sich an, antiparallele stoßen sich ab&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Grundlage für Einheit Ampere&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Kraft zwischen parallelen Strömen&quot; [15840-16333] --&gt;
&lt;h3&gt;&lt;a name=&quot;ampere-sches-gesetz&quot; id=&quot;ampere-sches-gesetz&quot;&gt;Ampere&amp;#039;sches Gesetz&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

&lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_980.5_303553c3110d23a0d0d541d1d75a9a25.png&quot; style=&quot;vertical-align:-19.5px; display: inline-block ;&quot; alt=&quot;oint{}{}{vec{B} d vec{s}} = mu_0 i_{um}&quot; title=&quot;oint{}{}{vec{B} d vec{s}} = mu_0 i_{um}&quot;/&gt;

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Integration über geschlossene Schleife&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976.5_6f5bf67b04485ef5ba9f3b44d08c02eb.png&quot; style=&quot;vertical-align:-23.5px; display: inline-block ;&quot; alt=&quot;i_{um} = sum{1}{n}{i_n}&quot; title=&quot;i_{um} = sum{1}{n}{i_n}&quot;/&gt; – in Schleife eingeschlossene Ströme, Vorzeichen = Richtung&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Integrale vereinfachen durch sinnvolle Wahl der Schleife (z.B. Kreis)&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Ampere'sches Gesetz&quot; [16334-16628] --&gt;
&lt;h2&gt;&lt;a name=&quot;induktion-induktivitaet&quot; id=&quot;induktion-induktivitaet&quot;&gt;Induktion &amp;amp; Induktivität&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Induktion &amp; Induktivität&quot; [16629-16667] --&gt;
&lt;h3&gt;&lt;a name=&quot;quantifizierung-menge-des-magnetfelds&quot; id=&quot;quantifizierung-menge-des-magnetfelds&quot;&gt;Quantifizierung Menge des Magnetfelds&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; magnetischer Fluss &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_980.5_b96037e3563753f0a47c7b3b7871cb96.png&quot; style=&quot;vertical-align:-19.5px; display: inline-block ;&quot; alt=&quot;Phi_B = int{}{}{vec{B} d vec{A}}&quot; title=&quot;Phi_B = int{}{}{vec{B} d vec{A}}&quot;/&gt; (analog zu elektrischen Fluss &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_980.5_5665a998f8785af07fbf8594a228405c.png&quot; style=&quot;vertical-align:-19.5px; display: inline-block ;&quot; alt=&quot;Phi_E = int{}{}{vec{E} d vec{A}}&quot; title=&quot;Phi_E = int{}{}{vec{E} d vec{A}}&quot;/&gt;)&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Magnetfeld senkrecht zur Schleifenebene → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_a5c108f31e96a870f3f3cb0593eb7184.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;B dA cos{0°} = B dA&quot; title=&quot;B dA cos{0°} = B dA&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_4778c296ee3022da76a2cee3ad719458.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;Phi_B = B A&quot; title=&quot;Phi_B = B A&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Einheit: 1 Weber [W] = 1 Tesla pro Quadratmeter [T/m&lt;sup&gt;2&lt;/sup&gt;]&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Quantifizierung Menge des Magnetfelds&quot; [16668-17018] --&gt;
&lt;h3&gt;&lt;a name=&quot;faradaysches-gesetz&quot; id=&quot;faradaysches-gesetz&quot;&gt;Faradaysches Gesetz&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

Strom wird induziert, wenn sich durchgehende Menge des Magnetfelds ändert.
&lt;/p&gt;

&lt;p&gt;
&lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_8441c0d02b86e40dfbcfcbff0ef4ecff.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;varepsilon = - {d Phi_B}/{dt}&quot; title=&quot;varepsilon = - {d Phi_B}/{dt}&quot;/&gt;

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_12ce62789f25d3dab0474863da47f80f.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;varepsilon&quot; title=&quot;varepsilon&quot;/&gt; – induzierte Spannung, wirkt Flussänderung entgegen&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; für Spule mit N Windungen: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_2cdd36c6322cfd4f08c1775373e4323d.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;varepsilon = -N {d Phi_B}/{dt}&quot; title=&quot;varepsilon = -N {d Phi_B}/{dt}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;

→ induziertes elektr. Feld verrichtet Arbeit an Ladung q&lt;sub&gt;0&lt;/sub&gt; pro Umlauf

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_980.5_0a8d6f031d7c521d820475a047c2ff9e.png&quot; style=&quot;vertical-align:-19.5px; display: inline-block ;&quot; alt=&quot;W = varepsilon q_0 = oint{}{}{vec{F} d vec{s}} = q_0 oint{}{}{vec{E} d vec{s}}&quot; title=&quot;W = varepsilon q_0 = oint{}{}{vec{F} d vec{s}} = q_0 oint{}{}{vec{E} d vec{s}}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_980.5_b2053bcb510aad10de7706da4529a4ad.png&quot; style=&quot;vertical-align:-19.5px; display: inline-block ;&quot; alt=&quot;varepsilon = oint{}{}{vec{E} d vec{s}}&quot; title=&quot;varepsilon = oint{}{}{vec{E} d vec{s}}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_12ce62789f25d3dab0474863da47f80f.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;varepsilon&quot; title=&quot;varepsilon&quot;/&gt; – induzierte Spannung&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; kein q mehr in Gleichung enthalten → induzierte Spannung kann unabhängig von Strom oder geladenen Teilchen existieren&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; mit &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_8441c0d02b86e40dfbcfcbff0ef4ecff.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;varepsilon = - {d Phi_B}/{dt}&quot; title=&quot;varepsilon = - {d Phi_B}/{dt}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_981_7b51e396442dbaa35cb191eb2db07bbf.png&quot; style=&quot;vertical-align:-19px; display: inline-block ;&quot; alt=&quot;oint{}{}{vec{E} d vec{s}} = - {d Phi_B}/{dt}&quot; title=&quot;oint{}{}{vec{E} d vec{s}} = - {d Phi_B}/{dt}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_23fa9c0539f9134298c34774e7d9895a.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;vec{E}&quot; title=&quot;vec{E}&quot;/&gt; – induziertes elektrisches Feld&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_cb15655ded3ef083a0a74e12bace935a.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;Phi_B&quot; title=&quot;Phi_B&quot;/&gt; – veränderliches Magnetisches Feld über Fluss&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Faradaysches Gesetz&quot; [17019-17927] --&gt;
&lt;h3&gt;&lt;a name=&quot;lenzsche-regel&quot; id=&quot;lenzsche-regel&quot;&gt;Lenzsche Regel&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

Induzierter Strom ist so gerichtet, dass das von ihm erzeugte Magnetfeld der Änderung des magn. Flusses entgegenwirkt, das den Strom verursacht.
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Lenzsche Regel&quot; [17928-18100] --&gt;
&lt;h3&gt;&lt;a name=&quot;induktion-und-energietransfer&quot; id=&quot;induktion-und-energietransfer&quot;&gt;Induktion und Energietransfer&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;

Relative Bewegung Leiterschleife zu Magneten: Energie zur Bewegung des Magneten wird durch Materialwiederstand der Schleife zum Teil in Wärmeenergie umgewandelt. → Beschreibung durch (Umwandlungs-)Leistung

&lt;/p&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; magnetischer Fluß &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_83d491aedc1e6c7d52e468b65f4e8192.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;Phi_B = B A = B L x&quot; title=&quot;Phi_B = B A = B L x&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; L – Schleifenbreite&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; x – Überschneidungslänge von Schleife und Magnetfeld&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; induzierte Spannung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_c79c2215ebc6abe6aef5d28900710349.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;varepsilon = {d Phi_B}/{dt} = B L {dx}/{dt} = B L v&quot; title=&quot;varepsilon = {d Phi_B}/{dt} = B L {dx}/{dt} = B L v&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; induzierter Strom &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_eadf8f8a284a727a1a50833adc3c390b.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;i = varepsilon/R = {B L v}/R&quot; title=&quot;i = varepsilon/R = {B L v}/R&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Bewegung entgegengesetzte Kraft &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_efac57bb7ae492e320da6ddfc86fd544.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;F = i L B sin{90°} = i L B = {B^2 L^2 v}/R&quot; title=&quot;F = i L B sin{90°} = i L B = {B^2 L^2 v}/R&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;

→ Umwandlungsleistung &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_9f12be0d39811e2ffe4b47a634ce93fc.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;P = F v = {B^2 L^2 v^2}/R&quot; title=&quot;P = F v = {B^2 L^2 v^2}/R&quot;/&gt;
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Induktion und Energietransfer&quot; [18101-18775] --&gt;
&lt;h3&gt;&lt;a name=&quot;induktivitaet&quot; id=&quot;induktivitaet&quot;&gt;Induktivität&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Analogon: Kondensator erzeugt elektr. Feld → Induktivität erzeugt magnetisches Feld (z.B. Zylinderspule)&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; “Induktivität” kann sowohl charakteristische Größe L als auch Bauelement sein&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Induktivität &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_8a34a8a450435d7f168c59aa79ccef17.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;L = N {Phi_B}/i&quot; title=&quot;L = N {Phi_B}/i&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Einheit Henry: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_c267462fac7dfae93069fc52468e3b0c.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;1 H = 1 T m^2/A&quot; title=&quot;1 H = 1 T m^2/A&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Induktivität einer Zylinderspule &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_b696dc8d4979f9deae7cf9cbbdf7186b.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;L = {N Phi_B}/i = {n l · B A}/i = {nl · mu_0 i n · A}/i = mu_0 n^2 l A&quot; title=&quot;L = {N Phi_B}/i = {n l · B A}/i = {nl · mu_0 i n · A}/i = mu_0 n^2 l A&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; l – Lange des Spulenabschnitts aus Nähe Spulenmitte&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; n = N/l– Windungen pro Längeneinheit&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; es gilt: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_5d1a5a6950645f0029225882760de41d.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;N Phi_B = (nl)(BA)&quot; title=&quot;N Phi_B = (nl)(BA)&quot;/&gt; und &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_9ccb0b1a262bb9f803c2e535fe4a26d7.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;B= mu_0 i n&quot; title=&quot;B= mu_0 i n&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Induktivität pro Längeneinheit &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_0c8a236c4765d80568b31a0944e5174f.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;L/l = mu_0 n^2 A&quot; title=&quot;L/l = mu_0 n^2 A&quot;/&gt; → Induktivität hängt (wie Kapazität) nur von Geometrie ab&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Induktivität&quot; [18776-19494] --&gt;
&lt;h3&gt;&lt;a name=&quot;selbstinduktion&quot; id=&quot;selbstinduktion&quot;&gt;Selbstinduktion&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; induzierte Spannung entsteht in jeder Spule, in der sich der Strom ändert&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Strom variiert zeitlich &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_b7e1ad726cffd198784cef2588dc2a91.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;{di}/{dt}&quot; title=&quot;{di}/{dt}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Stromstärke hat keinen Einfluß, nur Änderungsgeschwindigkeit&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; Faradaysches Gesetzt gilt&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Spannung der Selbstinduktion &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_fddbfe80a40a950b5d61c72494b964a4.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;varepsilon_L = - L {di}/{dt}&quot; title=&quot;varepsilon_L = - L {di}/{dt}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_f595159949472052a8d2dfa5a3a139c2.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;{N Phi_B} = L i&quot; title=&quot;{N Phi_B} = L i&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_464a2b51729598c17994fe26727ca7c1.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;varepsilon_L = - {d(N Phi_B)}/{dt}&quot; title=&quot;varepsilon_L = - {d(N Phi_B)}/{dt}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Selbstinduktion&quot; [19495-19896] --&gt;
&lt;h3&gt;&lt;a name=&quot;rl-glieder&quot; id=&quot;rl-glieder&quot;&gt;RL-Glieder&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Analogon zu RC-Kreisen&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Induktivität wirkt Änderungen des durchfließenden Stromes zunächst entgegen, danach im stationären Zustand (keine Stromänderung mehr) verhält sie sich wie normaler Leiter.&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Maschenregel &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_0b2d75e2ced888b9691f0ea212bd2ddc.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;-iR - L{di}/{dt} + varepsilon = 0&quot; title=&quot;-iR - L{di}/{dt} + varepsilon = 0&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Anlegen: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_960.5_8dcc9224e91c14a12a2177166760292b.png&quot; style=&quot;vertical-align:-39.5px; display: inline-block ;&quot; alt=&quot;i = varepsilon/R (1 - e^{-{Rt}/L}) = varepsilon/R (1 - e^{-t/tau_L})&quot; title=&quot;i = varepsilon/R (1 - e^{-{Rt}/L}) = varepsilon/R (1 - e^{-t/tau_L})&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Abklingen: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_accbf119d5207586c2a787776ebd9989.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;i = varepsilon/R e^{-t/tau_L} = i_0 e^{-t/tau_L}&quot; title=&quot;i = varepsilon/R e^{-t/tau_L} = i_0 e^{-t/tau_L}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_ae31bd6e5a4da57298f69b9afedb0ee4.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;tau_L = L/R&quot; title=&quot;tau_L = L/R&quot;/&gt; – induktive Zeitkonstante&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; e – exponentielle Basis&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;RL-Glieder&quot; [19897-20430] --&gt;
&lt;h3&gt;&lt;a name=&quot;energiespeicherung-im-magnetfeld&quot; id=&quot;energiespeicherung-im-magnetfeld&quot;&gt;Energiespeicherung im Magnetfeld&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Maschenregel RL-Glied: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_0b2d75e2ced888b9691f0ea212bd2ddc.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;-iR - L{di}/{dt} + varepsilon = 0&quot; title=&quot;-iR - L{di}/{dt} + varepsilon = 0&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_fa56a77562fd0451ff868ebb1f293017.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;varepsilon i = Li{di}/{dt} + i^2 R&quot; title=&quot;varepsilon i = Li{di}/{dt} + i^2 R&quot;/&gt;&lt;/div&gt;
&lt;ol&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_f22b2a73268a543e256c3b63c6e71662.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;varepsilon i&quot; title=&quot;varepsilon i&quot;/&gt; – Leistung der Batterie&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_993.5_6d7d4b7680b63896d1ed8d42ded09750.png&quot; style=&quot;vertical-align:-6.5px; display: inline-block ;&quot; alt=&quot;i^2 R&quot; title=&quot;i^2 R&quot;/&gt; – Leistung, mit der Energie in Widerstand in Wärmeenergie umgewandelt wird&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_cde3619cdee81f64179df0d484159ee1.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;{d U_B}/{dt} = Li{di}/{dt}&quot; title=&quot;{d U_B}/{dt} = Li{di}/{dt}&quot;/&gt; – restliche Energie muss im Magnetfeld gespeichert werden → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_2e7947ef6e43ed9ee0e864661812c811.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;d U_B = Li di&quot; title=&quot;d U_B = Li di&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976.5_c891e4ab70b601cbd2b75a1a44967432.png&quot; style=&quot;vertical-align:-23.5px; display: inline-block ;&quot; alt=&quot;int{0}{U_B}{d U_B} = int{0}{i}{Li · di}&quot; title=&quot;int{0}{U_B}{d U_B} = int{0}{i}{Li · di}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ol&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_fc6e11cf1001f7b5fa75b3df19442117.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;U_B = 1/2 L i^2&quot; title=&quot;U_B = 1/2 L i^2&quot;/&gt; – Gesamtenergie, die in stromdurchflossener Induktivität gespeichert ist&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Energiespeicherung im Magnetfeld&quot; [20431-21017] --&gt;
&lt;h3&gt;&lt;a name=&quot;energiedichte-eines-magnetfelds&quot; id=&quot;energiedichte-eines-magnetfelds&quot;&gt;Energiedichte eines Magnetfelds&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_cf1e91ccbba0c265595550a325443028.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;u_B = U_B/{A l} = 1/2 {L i^2}/{A L} = 1/2 L/l i^2/A&quot; title=&quot;u_B = U_B/{A l} = 1/2 {L i^2}/{A L} = 1/2 L/l i^2/A&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; l – Länge von Spulenabschnitt aus Zylindermitte&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; A – Zylinderfläche&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_0c8a236c4765d80568b31a0944e5174f.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;L/l = mu_0 n^2 A&quot; title=&quot;L/l = mu_0 n^2 A&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_9c58b886b81ca1cd3dd1da237dd69e27.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;u_B = 1/2 mu_0 n^2 i&quot; title=&quot;u_B = 1/2 mu_0 n^2 i&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_4f9ae913eb3cb1eab6d0c9f38943fefe.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;B = mu_0 i n&quot; title=&quot;B = mu_0 i n&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_a50b26a6aa6c2154d5f9cbe16099af45.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;u_E = 1/2 B^2/mu_0&quot; title=&quot;u_E = 1/2 B^2/mu_0&quot;/&gt; (zum Vergleich &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_c00fbd191ca347a599f146231e93cfb9.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;u_E = 1/2 epsilon_0 E^2&quot; title=&quot;u_E = 1/2 epsilon_0 E^2&quot;/&gt;)&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; → Energiedichte proportional zum Quadrat der Feldstärke&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Energiedichte eines Magnetfelds&quot; [21018-21428] --&gt;
&lt;h3&gt;&lt;a name=&quot;gegeninduktion&quot; id=&quot;gegeninduktion&quot;&gt;Gegeninduktion&lt;/a&gt;&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;
&lt;ul&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Induktion Spule 1 nach Spule 2 → Wechselwirkung → Gegeninduktion&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; Abgrenzung zur Selbstinduktion: dort nur 1 Spule beteiligt&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_dfc5180a812348d103f915711143bea6.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;i_1&quot; title=&quot;i_1&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_c5725ceacb268cb568299260a34c7ff0.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;vec{B_1}&quot; title=&quot;vec{B_1}&quot;/&gt; → magn. Fluss &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_81bad8dda694595355e762566ad5e7dc.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;Phi_{21}&quot; title=&quot;Phi_{21}&quot;/&gt; durchsrömt Spule 2 mit &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_085170ab9ed8d031939b75585032a289.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;N_2&quot; title=&quot;N_2&quot;/&gt; Windungen:&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; → Gegeninduktion &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_976_d7ff54cc910612ea62d4d80c0f39ca41.png&quot; style=&quot;vertical-align:-24px; display: inline-block ;&quot; alt=&quot;M_{21} = {N_2 Phi_{21}}/i_1&quot; title=&quot;M_{21} = {N_2 Phi_{21}}/i_1&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_e807b0678e2fd26d6ba1c1aa47b36ba7.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;M_{21} i_1 = N_2 Phi_{21}&quot; title=&quot;M_{21} i_1 = N_2 Phi_{21}&quot;/&gt; → Strom variiert zeitlich → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_93eef214f8613289595e7cdf2d8b4678.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;M_{21} {di_1}/{dt} = N_2 {d Phi_{21}}/{dt}&quot; title=&quot;M_{21} {di_1}/{dt} = N_2 {d Phi_{21}}/{dt}&quot;/&gt; → &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_ccfb078d15faf04a3ab18913c9ee53d7.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;varepsilon_2 = -M_{21} {di_1}/{dt}&quot; title=&quot;varepsilon_2 = -M_{21} {di_1}/{dt}&quot;/&gt;&lt;/div&gt;
&lt;ul&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; weil &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_f586bc518db361fe201e750401cb24ae.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;varepsilon_2 = N_2 {d Phi_{21}}/{dt}&quot; title=&quot;varepsilon_2 = N_2 {d Phi_{21}}/{dt}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;li class=&quot;level2&quot;&gt;&lt;div class=&quot;li&quot;&gt; analog: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_984_d8eaeb9ef8da7d8110392c7512eb29d5.png&quot; style=&quot;vertical-align:-16px; display: inline-block ;&quot; alt=&quot;varepsilon_1 = -M_{12} {di_2}/{dt}&quot; title=&quot;varepsilon_1 = -M_{12} {di_2}/{dt}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li class=&quot;level1&quot;&gt;&lt;div class=&quot;li&quot;&gt; ohne Beweis: &lt;img src=&quot;http://eye48.com/dokuwiki/lib/exe/fetch.php?w=&amp;amp;h=&amp;amp;cache=cache&amp;amp;media=cache_mathplugin%3amath_985.5_fd1d403db657d0f4a6696913e2e8c769.png&quot; style=&quot;vertical-align:-14.5px; display: inline-block ;&quot; alt=&quot;M = M_{21} = M_{12}&quot; title=&quot;M = M_{21} = M_{12}&quot;/&gt;&lt;/div&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Gegeninduktion&quot; [21429-22073] --&gt;
&lt;h2&gt;&lt;a name=&quot;magnetismus-und-materie&quot; id=&quot;magnetismus-und-materie&quot;&gt;Magnetismus und Materie&lt;/a&gt;&lt;/h2&gt;
&lt;div class=&quot;level2&quot;&gt;

&lt;p&gt;

E37
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- SECTION &quot;Magnetismus und Materie&quot; [22074-] --&gt;</summary>
    </entry>
</feed>
