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Update 2022-03-24 08:43

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Jean-Sébastien
2022-03-24 08:43:21 +01:00
parent 1d852e7213
commit 50704eba07
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build/ems_ms_lf_sc.html
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-03-22 Tue 10:52 -->
<!-- 2022-03-24 Thu 08:42 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1293,7 +1293,7 @@ Table of contents
</summary>
<ul>
<li>
<a href="./qed_t.html#qed_t">QED today</a><span class="headline-id">qed.t</span>
<a href="./qed_L.html#qed_L">Lagrangian</a><span class="headline-id">qed.L</span>
</li>
@@ -1632,14 +1632,14 @@ This leads us to define a <b>current density</b> \({\bf J}\) as the vector repre
charge flowing through a unit area per unit time, with direction along the motion of the charges.
Then, \(\Delta q = \rho {\bf v} \cdot {\bf n} ~\Delta {\cal S} ~\Delta t\) so we can identify
</p>
<div class="eqlabel" id="org634eed3">
<div class="eqlabel" id="org44135ba">
<p>
<a id="vcurd"></a><a href="./ems_ms_lf_sc.html#vcurd"><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="orgec85e6b">
<div class="alteqlabels" id="org4e5f0fb">
<ul class="org-ul">
<li>Gr (5.26)</li>
<li>PM (4.4)</li>
@@ -1659,14 +1659,14 @@ Then, \(\Delta q = \rho {\bf v} \cdot {\bf n} ~\Delta {\cal S} ~\Delta t\) so we
Similarly, a current running down a wire can be described by a linear charge density \(\lambda\)
moving at velocity \({\bf v}\), giving the current
</p>
<div class="eqlabel" id="orgb7eeef6">
<div class="eqlabel" id="org1cfc3de">
<p>
<a id="lcurd"></a><a href="./ems_ms_lf_sc.html#lcurd"><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="orgf8d5d1a">
<div class="alteqlabels" id="org0236891">
<ul class="org-ul">
<li>Gr (5.14)</li>
</ul>
@@ -1685,14 +1685,14 @@ moving at velocity \({\bf v}\), giving the current
For charge flowing on a surface, we can describe the <b>surface current density</b> as a surface charge
density \(\sigma\) moving at velocity \({\bf v}\),
</p>
<div class="eqlabel" id="org84167b3">
<div class="eqlabel" id="org779b4e0">
<p>
<a id="scurd"></a><a href="./ems_ms_lf_sc.html#scurd"><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="orgb6d5c96">
<div class="alteqlabels" id="org6bb71f0">
<ul class="org-ul">
<li>Gr (5.23)</li>
</ul>
@@ -1707,18 +1707,18 @@ density \(\sigma\) moving at velocity \({\bf v}\),
\]
</p>
<div class="main div" id="org9ca056c">
<div class="main div" id="org0a15fdb">
<p>
Magnetic forces on wire, surface and volume carrying current densities:
</p>
<div class="eqlabel" id="org92b3fea">
<div class="eqlabel" id="orgefbcea9">
<p>
<a id="Fmagl"></a><a href="./ems_ms_lf_sc.html#Fmagl"><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="orgad8b186">
<div class="alteqlabels" id="org2e3c12d">
<ul class="org-ul">
<li>Gr (5.16)</li>
</ul>
@@ -1732,14 +1732,14 @@ Magnetic forces on wire, surface and volume carrying current densities:
\tag{Fmagl}\label{Fmagl}
\]
</p>
<div class="eqlabel" id="org5ab1162">
<div class="eqlabel" id="orgd3c929c">
<p>
<a id="Fmags"></a><a href="./ems_ms_lf_sc.html#Fmags"><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="org5599c69">
<div class="alteqlabels" id="orgd338de9">
<ul class="org-ul">
<li>Gr (5.24)</li>
</ul>
@@ -1753,14 +1753,14 @@ Magnetic forces on wire, surface and volume carrying current densities:
\tag{Fmags}\label{Fmags}
\]
</p>
<div class="eqlabel" id="orgde4d414">
<div class="eqlabel" id="org6a0eee5">
<p>
<a id="Fmagv"></a><a href="./ems_ms_lf_sc.html#Fmagv"><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="org7f23ff0">
<div class="alteqlabels" id="org79f6183">
<ul class="org-ul">
<li>Gr (5.27)</li>
</ul>
@@ -1795,7 +1795,7 @@ 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: 2022-03-22 Tue 10:52</p>
<p class="date">Created: 2022-03-24 Thu 08:42</p>
<p class="validation"></p>
</div>