Update 2022-02-14 20:42

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Jean-Sébastien
2022-02-14 20:42:37 +01:00
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<title>Pre-Quantum Electrodynamics</title>
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<p>
This is given experimentally (around 1820) by the
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{\bf Biot-Savart law}
\[
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<p>
For surface and volume density currents:
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\[
{\bf B} ({\bf r}) = \frac{\mu_0}{4\pi} \int da' \frac{{\bf K} ({\bf r}') \times ({\bf r} - {\bf r}')}{|{\bf r} - {\bf r}'|^3},
@@ -1644,7 +1644,7 @@ The {\bf superposition principle} applies here as well: collection of currents
the vector sum of the fields generated by the individual currents.
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<p>
\paragraph{Example 5.5:} find \({\bf B}\) a distance \(s\) from a long straight wire carrying steady current \(I\).
\paragraph{Solution:} {\bf Gr Fig 5.18}:
@@ -1674,7 +1674,7 @@ f = \frac{\mu_0}{2\pi} \frac{I_1 I_2}{d}
(like currents attract).
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<p>
\paragraph{Example 5.6:} find {\bf B} a distance \(z\) above the center of a circular loop of radius \(R\),
carrying a steady counterclockwise current \(I\).
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<div id="postamble" class="status">
<p class="author">Author: Jean-Sébastien Caux</p>
<p class="date">Created: 2022-02-13 Sun 21:20</p>
<p class="date">Created: 2022-02-14 Mon 20:35</p>
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