Update 2022-03-22 10:53
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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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<!-- 2022-03-15 Tue 08:10 -->
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<!-- 2022-03-22 Tue 10:52 -->
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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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@@ -1617,18 +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="org51f208a">
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<div class="core div" id="orga827512">
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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="org7066903">
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<div class="eqlabel" id="org52886c6">
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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="orged15a3a">
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<div class="alteqlabels" id="orgdc1e7ba">
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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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@@ -1658,15 +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="org93fdedb">
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<div class="eqlabel" id="org7ca46e7">
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<div class="main div" id="org7a35caa">
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<div class="eqlabel" id="org23a2575">
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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="org96cf80f">
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<div class="alteqlabels" id="org85a286c">
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</div>
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@@ -1677,14 +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="orgcc6c1f1">
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<div class="eqlabel" id="org938c8cc">
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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="org15cd877">
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<div class="alteqlabels" id="orgd7e4616">
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</div>
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@@ -1709,7 +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="orgcb01a42">
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<div class="example div" id="org01ad376">
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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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@@ -1732,14 +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="org4013eb6">
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<div class="eqlabel" id="org76e595d">
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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="org18cf243">
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<div class="alteqlabels" id="org1b67385">
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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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@@ -1768,7 +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="org3d9edf3">
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<div class="example div" id="org961db5f">
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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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@@ -1812,7 +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: 2022-03-15 Tue 08:10</p>
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<p class="date">Created: 2022-03-22 Tue 10:52</p>
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<p class="validation"></p>
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</div>
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