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M3P2
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c9a7252b
Commit
c9a7252b
authored
Apr 21, 2025
by
Claude Meny
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Update cheatsheet.fr.md
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cheatsheet.fr.md
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12.temporary_ins/90.electromagnetism-in-vacuum/10.maxwell-equations/20.overview/cheatsheet.fr.md
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c9a7252b
...
@@ -675,6 +675,16 @@ $`\mathbf{div\,\big(\overrightarrow{U}\land\overrightarrow{V}\big)=
...
@@ -675,6 +675,16 @@ $`\mathbf{div\,\big(\overrightarrow{U}\land\overrightarrow{V}\big)=
$
`\color{blue}{\scriptsize{\text{ à leurs causes avec respectivement}}}`
$
$
`\color{blue}{\scriptsize{\text{ à leurs causes avec respectivement}}}`
$
$
`\color{blue}{\scriptsize{\text{les équations de Maxwell-Faraday et Maxwell Ampère}}}`
$
$
`\color{blue}{\scriptsize{\text{les équations de Maxwell-Faraday et Maxwell Ampère}}}`
$
<br>
<br>
<
!
-
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
--
>
<br>
$
`\begin{align}div\,\big(\overrightarrow{E}\land\overrightarrow{B}\big)
=&\overrightarrow{B}\cdot
\big(
\underbrace{\overrightarrow{rot}\,\overrightarrow{E}}
_{\color{blue}{=-\frac{\partial \vec{B}}{\partial t}}}\big)\,\\
&\quad-\,\overrightarrow{E}\cdot\big(\underbrace{\overrightarrow{rot}\,\overrightarrow{B}}_{\color{blue}{=\mu_0\,\vec{j}+\mu_0\epsilon_0\frac{\partial \vec{E}}{\partial t}
}}\big)\end{align}`
$
<br>
$
`div\,\big(\overrightarrow{E}\land\overrightarrow{B}\big)
$
`div\,\big(\overrightarrow{E}\land\overrightarrow{B}\big)
=\overrightarrow{B}\cdot
=\overrightarrow{B}\cdot
\big(
\big(
...
...
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