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Update 2022-02-09 07:44

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Jean-Sébastien
2022-02-09 07:44:58 +01:00
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-08 Tue 17:21 -->
<!-- 2022-02-09 Wed 07:31 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1616,7 +1616,7 @@ Table of contents
</ul>
</details>
</nav>
<ul class="navigation-links"><li>Prev:&nbsp;<a href="emsm_msm_H.html">The H Field&emsp;<small>[emsm.msm.H]</small></a></li><li>Next:&nbsp;<a href="emsm_msm_lnlm.html">Linear and Nonlinear Media&emsp;<small>[emsm.msm.lnlm]</small></a></li><li>Up:&nbsp;<a href="emsm_msm_H.html">The H Field&emsp;<small>[emsm.msm.H]</small></a></li></ul><div id="outline-container-emsm_msm_H_A" class="outline-5">
<ul class="breadcrumbs"><li><a class="breadcrumb-link"href="emsm.html">Electromagnetostatics in matter</a></li><li><a class="breadcrumb-link"href="emsm_msm.html">Magnetostatics in matter</a></li><li><a class="breadcrumb-link"href="emsm_msm_H.html">The H Field</a></li><li>Ampère's Law in Magnetized Materials</li></ul><ul class="navigation-links"><li>Prev:&nbsp;<a href="emsm_msm_H.html">The H Field&emsp;<small>[emsm.msm.H]</small></a></li><li>Next:&nbsp;<a href="emsm_msm_lnlm.html">Linear and Nonlinear Media&emsp;<small>[emsm.msm.lnlm]</small></a></li><li>Up:&nbsp;<a href="emsm_msm_H.html">The H Field&emsp;<small>[emsm.msm.H]</small></a></li></ul><div id="outline-container-emsm_msm_H_A" class="outline-5">
<h5 id="emsm_msm_H_A">Ampère's Law in Magnetized Materials<a class="headline-permalink" href="./emsm_msm_H_A.html#emsm_msm_H_A"><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"/>
@@ -1636,7 +1636,7 @@ Ampère's law:
\]
so we can define
</p>
<div class="core div" id="orgbb82e02">
<div class="core div" id="orgc19be1c">
<p>
\[
{\bf H} \equiv \frac{1}{\mu_0} {\bf B} - {\bf M}
@@ -1648,7 +1648,7 @@ so we can define
<p>
and rewrite Ampère's law as
</p>
<div class="core div" id="org6e28dfc">
<div class="core div" id="orgbad33d1">
<p>
\[
{\boldsymbol \nabla} \times {\bf H} = {\bf J}_f
@@ -1660,7 +1660,7 @@ and rewrite Ampère's law as
<p>
or in integral form,
</p>
<div class="core div" id="orgfc4cbdf">
<div class="core div" id="orged35b70">
<p>
\[
\oint {\bf H} \cdot d{\bf l} = I_{f_{enc}}
@@ -1674,7 +1674,7 @@ or in integral form,
rewrite Ampère's law in terms of free currents alone. Bound currents come along for the ride.
</p>
<div class="example div" id="orged9fb55">
<div class="example div" id="org685f399">
<p>
\paragraph{Example 6.2:} long copper rod radius \({\bf R}\) carries uniformly distributed free current \(I\).
Find \({\bf H}\) inside and outside rod.
@@ -1778,10 +1778,21 @@ and
</div>
<hr><div id="postamble" class="status">
<hr>
<div class="license">
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
target="_blank" class="m-2">
<img alt="Creative Commons License" style="border-width:0"
src="https://licensebuttons.net/l/by/4.0/80x15.png"/>
</a>
Except where otherwise noted, all content is licensed under a
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
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: 2022-02-08 Tue 17:21</p>
<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
<p class="date">Created: 2022-02-09 Wed 07:31</p>
<p class="validation"></p>
</div>