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

Update 2022-03-24 08:43

Browse Source
This commit is contained in:
Jean-Sébastien
2022-03-24 08:43:21 +01:00
parent 1d852e7213
commit 50704eba07
211 changed files with 1506 additions and 3143 deletions
Download Patch File Download Diff File Expand all files Collapse all files
build/ems_es_ef_Gl.html
+13 -13
View File
@@ -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>
@@ -1658,14 +1658,14 @@ sphere of radius \(r\) around the charge,
<p>
so by superposition, we obtain
</p>
<div class="eqlabel" id="org91cf7d7">
<div class="eqlabel" id="orgb8336e6">
<p>
<a id="Gl_i"></a><a href="./ems_es_ef_Gl.html#Gl_i"><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="org6ea6288">
<div class="alteqlabels" id="orgcbd1da6">
<ul class="org-ul">
<li>Gr (2.13)</li>
</ul>
@@ -1673,7 +1673,7 @@ so by superposition, we obtain
</div>
</div>
<div class="core div" id="org0decae8">
<div class="core div" id="orgba40026">
<p>
<b>Gauss' law (in integral form)</b>
</p>
@@ -1705,14 +1705,14 @@ By applying the divergence theorem,
and using \(Q_{\mbox{enc}} = \int_{\cal V} \rho d\tau\), and using the fact the the choice of volume
is arbitrary, we get
</p>
<div class="eqlabel" id="org99cb3fa">
<div class="eqlabel" id="org5b066f2">
<p>
<a id="Gl_d"></a><a href="./ems_es_ef_Gl.html#Gl_d"><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="org26da670">
<div class="alteqlabels" id="org392ac6d">
<ul class="org-ul">
<li>Gr (2.14)</li>
</ul>
@@ -1720,7 +1720,7 @@ is arbitrary, we get
</div>
</div>
<div class="core div" id="orga601c85">
<div class="core div" id="orge1e429b">
<p>
<b>Gauss' law in differential form</b>
</p>
@@ -1779,7 +1779,7 @@ cylindrical or plane symmetry.
Gaussian surfaces: respectively, concentric sphere, coaxial cylinder, pillbox.
</p>
<div class="example div" id="org5c01f30">
<div class="example div" id="org0bb5eb9">
<p>
<a id="E_uni_sph"></a><a href="./ems_es_ef_Gl.html#E_uni_sph"><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"/>
@@ -1814,7 +1814,7 @@ Same as point charge at origin!
</div>
<div class="example div" id="org15c018b">
<div class="example div" id="org3541fb3">
<p>
<b>Example 2.3</b>: infinitely long cylinder carrying charge density \(\rho = k s\) for some constant \(k\). Find \({\bf E}\) within the cylinder.
</p>
@@ -1853,7 +1853,7 @@ Therefore,
</div>
<div class="example div" id="org83647ca">
<div class="example div" id="org803f9c7">
<p>
<b>Example 2.4</b>: infinite plane (defined by \(z = 0\)) with uniform surface charge density \(\sigma\). Find \({\bf E}\).
</p>
@@ -1879,7 +1879,7 @@ where \(\hat{\bf n}\) is a unit vector extending away from the plane. Independe
</div>
<div class="example div" id="org6d1758e">
<div class="example div" id="orgda03843">
<p>
<b>Example 2.5</b>: two infinite planes (put them vertical) carrying equal but opposite uniform surface charge densities \(\pm \sigma\).
</p>
@@ -1909,7 +1909,7 @@ 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>