Update 2022-03-07 20:40
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@@ -1,7 +1,7 @@
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<!-- 2022-03-02 Wed 15:45 -->
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<!-- 2022-03-07 Mon 20:38 -->
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<meta charset="utf-8">
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<meta name="viewport" content="width=device-width, initial-scale=1">
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<title>Pre-Quantum Electrodynamics</title>
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@@ -1098,14 +1098,6 @@ Table of contents
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<li>
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<a href="./emdm_emwm_refl_oi.html#emdm_emwm_refl_oi">Oblique Incidence</a><span class="headline-id">emdm.emwm.refl.oi</span>
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</li>
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<li>
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<a href="./emdm_emwm_refl_Fe.html#emdm_emwm_refl_Fe">Fresnel's Equations</a><span class="headline-id">emdm.emwm.refl.Fe</span>
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</li>
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<li>
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<a href="./emdm_emwm_refl_Ba.html#emdm_emwm_refl_Ba">Brewster's Angle</a><span class="headline-id">emdm.emwm.refl.Ba</span>
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</li>
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</ul>
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@@ -1649,14 +1641,14 @@ so
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\]
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and we can write the mutual inductance as the <b>Neumann formula</b>,
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</p>
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<div class="eqlabel" id="org197212f">
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<div class="eqlabel" id="org766e684">
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<p>
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<a id="Newmann_M"></a><a href="./emd_Fl_i.html#Newmann_M"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
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<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="org4709e6a">
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<div class="alteqlabels" id="orga92dd51">
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<ul class="org-ul">
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<li>Gr (7.22)</li>
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</ul>
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@@ -1673,14 +1665,14 @@ M_{21} = \frac{\mu_0}{4\pi} \oint_{{\cal P}_1} \oint_{{\cal P}_2} \frac{d{\bf l}
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Two things:
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first, \(M_{21}\) is purely geometrical. Second,
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</p>
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<div class="eqlabel" id="orgb952a44">
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<div class="eqlabel" id="org577027c">
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<p>
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<a id="Msym"></a><a href="./emd_Fl_i.html#Msym"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
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<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="org53f3037">
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<div class="alteqlabels" id="org21aff84">
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<ul class="org-ul">
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<li>Gr (7.23)</li>
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</ul>
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@@ -1695,7 +1687,7 @@ M_{12} = M_{21}
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\]
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</p>
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<div class="example div" id="org6347791">
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<div class="example div" id="org9334fe0">
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<p>
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<b>Example: solenoid in solenoid</b>
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</p>
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@@ -1743,14 +1735,14 @@ What if we vary current in loop 1? Flux in 2 will vary. Induces EMF in loop 2:
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\]
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Changing current also induces EMF in the source loop itself:
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</p>
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<div class="eqlabel" id="org667fec5">
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<div class="eqlabel" id="org4807c27">
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<p>
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<a id="PLI"></a><a href="./emd_Fl_i.html#PLI"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
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<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="org28a1a02">
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<div class="alteqlabels" id="orga19e4d1">
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<ul class="org-ul">
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<li>Gr (7.25)</li>
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</ul>
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@@ -1773,7 +1765,7 @@ Inductance: measured in <b>henries</b> (\(H\)). \(H = V s/A\).
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</p>
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<div class="example div" id="org00e72a3">
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<div class="example div" id="org940f5ab">
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<p>
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<b>Example: self-inductance of toroidal coil</b>
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</p>
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@@ -1812,7 +1804,7 @@ Inductance (like capacitance) is intrinsically positive. Use Lenz law.
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Think of <i>back EMF</i>.
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</p>
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<div class="example div" id="org958ea6c">
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<div class="example div" id="orgbeea66c">
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<p>
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<b>Example: circuit</b>
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</p>
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@@ -1861,7 +1853,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
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</div>
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<div id="postamble" class="status">
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<p class="author">Author: Jean-Sébastien Caux</p>
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<p class="date">Created: 2022-03-02 Wed 15:45</p>
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<p class="date">Created: 2022-03-07 Mon 20:38</p>
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<p class="validation"></p>
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</div>
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