jscaux/pqed_html
1
0
Fork 0
Code Issues Pull Requests Releases Wiki Activity

Update 2022-03-22 10:53

Browse Source
This commit is contained in:
Jean-Sébastien
2022-03-22 10:53:22 +01:00
parent f8fdc5f8b4
commit 2d1d8d39a4
209 changed files with 1240 additions and 1226 deletions
Download Patch File Download Diff File Expand all files Collapse all files
build/ems_ms_dcB_c.html
+16 -16
View File
@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-03-15 Tue 08:10 -->
<!-- 2022-03-22 Tue 10:52 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1663,18 +1663,18 @@ at infinity), and in the third step we have used the assumption of steady-state
<p>
We thus obtain
</p>
<div class="core div" id="org6a024aa">
<div class="core div" id="org783256e">
<p>
<b>Ampère's law</b>
</p>
<div class="eqlabel" id="orgb881792">
<div class="eqlabel" id="orge745f25">
<p>
<a id="Amp"></a><a href="./ems_ms_dcB_c.html#Amp"><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="org54bd1f6">
<div class="alteqlabels" id="orgda8539d">
<ul class="org-ul">
<li>FLS II (13.13)</li>
<li>Gr (5.56)</li>
@@ -1699,18 +1699,18 @@ We thus obtain
\]
yielding
</p>
<div class="core div" id="orge0c90b7">
<div class="core div" id="org354b44c">
<p>
<b>Ampère's law (integral form)</b>
</p>
<div class="eqlabel" id="org07d6c1e">
<div class="eqlabel" id="orgd83eec1">
<p>
<a id="Amp_int"></a><a href="./ems_ms_dcB_c.html#Amp_int"><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="orgb68c754">
<div class="alteqlabels" id="orgfb58e7c">
<ul class="org-ul">
<li>FLS II (13.16)</li>
<li>Gr (5.57)</li>
@@ -1741,7 +1741,7 @@ Sign ambiguity: resolved by right-hand rule as usual.
Ampère's law in magnetostatics takes a parallel role to Gauss's law in electrostatics.
</p>
<div class="example div" id="org3d7cd57">
<div class="example div" id="org228e2e4">
<p>
<b>Example: infinite wire</b>
</p>
@@ -1760,7 +1760,7 @@ choosing an amperian loop at a fixed radius \(r\), we get
</div>
<div class="example div" id="org8d8b261">
<div class="example div" id="org6ded1ae">
<p>
<b>Example: uniform sheet current</b>
</p>
@@ -1789,7 +1789,7 @@ and along \(\hat{\bf y}\) for \(z &lt; 0\). Amperian loop of width \(l\) punchi
</div>
<div class="example div" id="org2c3c8bc">
<div class="example div" id="org79e3791">
<p>
<b>Example: solenoid</b>
</p>
@@ -1809,14 +1809,14 @@ Outside: infinitely far away, \({\bf B}\) must vanish.
But an amperian loop outside gives zero always, so \({\bf B}\) vanishes everywhere outside the solenoid.
Amperian loop of length \(l\), half-inside and half-outside:
</p>
<div class="eqlabel" id="orgdc9d8f5">
<div class="eqlabel" id="orgca26b03">
<p>
<a id="Bsol"></a><a href="./ems_ms_dcB_c.html#Bsol"><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="orgaf8209e">
<div class="alteqlabels" id="orgc2fa23f">
<ul class="org-ul">
<li>Gr (5.59)</li>
</ul>
@@ -1841,7 +1841,7 @@ form of symmetry, for example
i) infinite straight lines, ii) infinite planes, iii) infinite solenoids, iv) toroids.
</p>
<div class="example div" id="orgc74ca44">
<div class="example div" id="org0bb7ec0">
<p>
<b>Example: toroidal coil</b>
</p>
@@ -1863,14 +1863,14 @@ Outside the coil, the field must again be zero.
<p>
Consider now an Amperian loop which is just a circle at radius \(r\):
</p>
<div class="eqlabel" id="org79fc555">
<div class="eqlabel" id="orgbea10d8">
<p>
<a id="Btor"></a><a href="./ems_ms_dcB_c.html#Btor"><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="org44e5c13">
<div class="alteqlabels" id="org8bc0f73">
<ul class="org-ul">
<li>Gr (5.60)</li>
</ul>
@@ -1907,7 +1907,7 @@ 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: 2022-03-15 Tue 08:10</p>
<p class="date">Created: 2022-03-22 Tue 10:52</p>
<p class="validation"></p>
</div>