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Update 2022-03-15 10:07

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Jean-Sébastien
2022-03-15 10:07:27 +01:00
parent 4808df71e6
commit 55f0de8197
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build/ems_ms_BS.html
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-03-07 Mon 20:38 -->
<!-- 2022-03-15 Tue 08:10 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1310,10 +1310,6 @@ Table of contents
</summary>
<ul>
<li>
<a href="./d_m.html#d_m">Diagnostics: Mathematical Preliminaries</a><span class="headline-id">d.m</span>
</li>
<li>
<a href="./d_ems.html#d_ems">Diagnostics: Electromagnetostatics</a><span class="headline-id">d.ems</span>
</li>
@@ -1352,6 +1348,10 @@ Table of contents
<li>
<a href="./d_red.html#d_red">Diagnostics: Relativistic Electrodynamics</a><span class="headline-id">d.red</span>
</li>
<li>
<a href="./d_m.html#d_m">Diagnostics: Compendium - Mathematics</a><span class="headline-id">d.m</span>
</li>
</ul>
@@ -1617,18 +1617,18 @@ Table of contents
The magnetic field issuing from a steady surrent
is given experimentally (around 1820) by the
</p>
<div class="core div" id="orgb617b1e">
<div class="core div" id="org51f208a">
<p>
<b>Biot-Savart law</b>
</p>
<div class="eqlabel" id="org86a22af">
<div class="eqlabel" id="org7066903">
<p>
<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">
<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"/>
<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"/>
</svg></a>
</p>
<div class="alteqlabels" id="org1e15b84">
<div class="alteqlabels" id="orged15a3a">
<ul class="org-ul">
<li>FLS II (14.43)</li>
<li>Gr (5.34)</li>
@@ -1658,15 +1658,15 @@ with the <i>henry</i> \(H = kg ~m^2 / s^2 A^2\) being the unit for inductance.
<p>
For surface and volume density currents:
</p>
<div class="main div" id="org342ce1e">
<div class="eqlabel" id="org1ffeb7d">
<div class="main div" id="org93fdedb">
<div class="eqlabel" id="org7ca46e7">
<p>
<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">
<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"/>
<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"/>
</svg></a>
</p>
<div class="alteqlabels" id="orgccc5306">
<div class="alteqlabels" id="org96cf80f">
</div>
@@ -1677,14 +1677,14 @@ For surface and volume density currents:
\tag{BiotSavart_s}\label{BiotSavart_s}
\]
</p>
<div class="eqlabel" id="org0f84a76">
<div class="eqlabel" id="orgcc6c1f1">
<p>
<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">
<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"/>
<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"/>
</svg></a>
</p>
<div class="alteqlabels" id="org5386177">
<div class="alteqlabels" id="org15cd877">
</div>
@@ -1709,7 +1709,7 @@ The <b>superposition principle</b> applies here as well: a collection of curren
the vector sum of the fields generated by the individual currents.
</p>
<div class="example div" id="org0fadd84">
<div class="example div" id="orgcb01a42">
<p>
<b>Example: \({\bf B}\) from long straight wire</b>
</p>
@@ -1732,14 +1732,14 @@ B = \frac{\mu_0}{4\pi} I \int_{\theta_1}^{\theta_2} d\theta \cos \theta \frac{\c
\]
For infinite wire: \(\theta_1 = -\pi/2\), \(\theta_2 = \pi/2\), so
</p>
<div class="eqlabel" id="orgf60b89e">
<div class="eqlabel" id="org4013eb6">
<p>
<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">
<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"/>
<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"/>
</svg></a>
</p>
<div class="alteqlabels" id="orga4286e9">
<div class="alteqlabels" id="org18cf243">
<ul class="org-ul">
<li>Gr (5.38)</li>
</ul>
@@ -1768,7 +1768,7 @@ f = \frac{\mu_0}{2\pi} \frac{I_1 I_2}{d}
(like currents attract).
</p>
<div class="example div" id="org8febd4f">
<div class="example div" id="org3d9edf3">
<p>
<b>Example: \({\bf B}\) above a circular loop</b>
</p>
@@ -1812,7 +1812,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
</div>
<div id="postamble" class="status">
<p class="author">Author: Jean-Sébastien Caux</p>
<p class="date">Created: 2022-03-07 Mon 20:38</p>
<p class="date">Created: 2022-03-15 Tue 08:10</p>
<p class="validation"></p>
</div>