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Update 2022-02-14 06:33

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Jean-Sébastien
2022-02-14 06:33:37 +01:00
parent f8446c1405
commit 4cfe8cef59
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build/ems_ms_vp_mbc.html
+7 -5
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-10 Thu 08:32 -->
<!-- 2022-02-13 Sun 21:20 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1621,7 +1621,7 @@ B^{\parallel}_{above} - B^{\parallel}_{below} = \mu_0 K
So: component of \({\bf B}\) that is parallel to surface but perpendicular to current flow
is discontinuous, whereas the one parallel to the flow is continuous. In vector notation:
</p>
<div class="main div" id="orgf8b9497">
<div class="main div" id="orgaeaecaa">
<p>
\[
{\bf B}_{above} - {\bf B}_{below} = \mu_0 {\bf K} \times \hat{\bf n},
@@ -1633,7 +1633,7 @@ is discontinuous, whereas the one parallel to the flow is continuous. In vector
<p>
where \(\hat{\bf n}\) points upwards. For the vector potential, the relations are
</p>
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<div class="main div" id="orge1b8f05">
<p>
\[
{\bf A}_{above} = {\bf A}_{below}
@@ -1679,7 +1679,7 @@ What is left is
\]
Therefore, reidentifying the normal component, we get
</p>
<div class="main div" id="org396e6de">
<div class="main div" id="orgfe25d69">
<p>
\[
\frac{\partial {\bf A}_{above}}{\partial n} - \frac{\partial {\bf A}_{below}}{\partial n}
@@ -1694,6 +1694,8 @@ Therefore, reidentifying the normal component, we get
<br><ul class="navigation-links"><li>Prev:&nbsp;<a href="ems_ms_vp.html">The Vector Potential&emsp;<small>[ems.ms.vp]</small></a></li><li>Next:&nbsp;<a href="ems_ms_vp_me.html">Multipole Expansion of the Vector Potential&emsp;<small>[ems.ms.vp.me]</small></a></li><li>Up:&nbsp;<a href="ems_ms_vp.html">The Vector Potential&emsp;<small>[ems.ms.vp]</small></a></li></ul>
<br>
<hr>
<div class="license">
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
@@ -1707,7 +1709,7 @@ 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: 2022-02-10 Thu 08:32</p>
<p class="date">Created: 2022-02-13 Sun 21:20</p>
<p class="validation"></p>
</div>