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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@@ -1625,18 +1617,18 @@ Table of contents
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The magnetic field issuing from a steady surrent
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is given experimentally (around 1820) by the
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</p>
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<div class="core div" id="orgce2b212">
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<div class="core div" id="orgb617b1e">
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<p>
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<b>Biot-Savart law</b>
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</p>
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<div class="eqlabel" id="orgec0385c">
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<div class="eqlabel" id="org86a22af">
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<p>
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<a id="BiotSavart"></a><a href="./ems_ms_BS.html#BiotSavart"><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="orgd2cd11f">
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<div class="alteqlabels" id="org1e15b84">
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<ul class="org-ul">
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<li>FLS II (14.43)</li>
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<li>Gr (5.34)</li>
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@@ -1666,15 +1658,15 @@ with the <i>henry</i> \(H = kg ~m^2 / s^2 A^2\) being the unit for inductance.
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<p>
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For surface and volume density currents:
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</p>
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<div class="main div" id="orgc4028f4">
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<div class="eqlabel" id="org03660ed">
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<div class="main div" id="org342ce1e">
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<div class="eqlabel" id="org1ffeb7d">
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<p>
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<a id="BiotSavart_s"></a><a href="./ems_ms_BS.html#BiotSavart_s"><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="org7d58dce">
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<div class="alteqlabels" id="orgccc5306">
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</div>
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@@ -1685,14 +1677,14 @@ For surface and volume density currents:
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\tag{BiotSavart_s}\label{BiotSavart_s}
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\]
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</p>
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<div class="eqlabel" id="org3437e9a">
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<div class="eqlabel" id="org0f84a76">
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<p>
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<a id="BiotSavart_v"></a><a href="./ems_ms_BS.html#BiotSavart_v"><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="orgc9d935d">
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<div class="alteqlabels" id="org5386177">
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</div>
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@@ -1717,7 +1709,7 @@ The <b>superposition principle</b> applies here as well: a collection of curren
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the vector sum of the fields generated by the individual currents.
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</p>
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<div class="example div" id="orgfc03fbc">
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<div class="example div" id="org0fadd84">
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<p>
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<b>Example: \({\bf B}\) from long straight wire</b>
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</p>
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@@ -1740,14 +1732,14 @@ B = \frac{\mu_0}{4\pi} I \int_{\theta_1}^{\theta_2} d\theta \cos \theta \frac{\c
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\]
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For infinite wire: \(\theta_1 = -\pi/2\), \(\theta_2 = \pi/2\), so
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</p>
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<div class="eqlabel" id="orgb2f4e99">
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<div class="eqlabel" id="orgf60b89e">
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<p>
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<a id="Bwire1"></a><a href="./ems_ms_BS.html#Bwire1"><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="org5f4dd33">
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<div class="alteqlabels" id="orga4286e9">
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<ul class="org-ul">
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<li>Gr (5.38)</li>
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</ul>
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@@ -1776,7 +1768,7 @@ f = \frac{\mu_0}{2\pi} \frac{I_1 I_2}{d}
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(like currents attract).
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</p>
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<div class="example div" id="org69d799b">
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<div class="example div" id="org8febd4f">
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<p>
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<b>Example: \({\bf B}\) above a circular loop</b>
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</p>
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@@ -1820,7 +1812,7 @@ 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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