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M3P2
Courses
Commits
29c35e8b
Commit
29c35e8b
authored
Apr 27, 2024
by
Claude Meny
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Update cheatsheet.fr.md
parent
d343df9d
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#18224
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cheatsheet.fr.md
...es-stationary-electric-field/20.overview/cheatsheet.fr.md
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12.temporary_ins/10.electrostatics-vacuum/20.causes-stationary-electric-field/20.overview/cheatsheet.fr.md
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29c35e8b
...
@@ -754,9 +754,9 @@ figure à faire
...
@@ -754,9 +754,9 @@ figure à faire
*
Pour conduire la plus difficile des intégrations, celle relative à la variable $
`\rho`
$,
*
Pour conduire la plus difficile des intégrations, celle relative à la variable $
`\rho`
$,
réécrivons le champ élémentaire en faisant disparaître le dénominateur pour l'exprimer au numérateur :
réécrivons le champ élémentaire en faisant disparaître le dénominateur pour l'exprimer au numérateur :
<br>
<br>
**$`\boldsymbol{\mathbf{dE_M}}`$**
$
\d
frac{
\d
ens^{2D}}{2
\e
psilon_0}
\c
dot
\d
frac{
\r
ho_P
\,
z_M}{(
\r
ho_P^2+z_M^2)^{
\,
3/2}}
}}
`$
**$`\boldsymbol{\mathbf{dE_M}}`$**
$
`\dfrac{\dens^{2D}}{4\pi\,\epsilon_0}\cdot\dfrac{\rho_P\,z_M}{(\rho_P^2+z_M^2)^{\,3/2
}}`
$
<br>
<br>
`
**$`\boldsymbol{\mathbf{\hspace{2.3cm}=\dfrac{\dens^{2D}\,z_M}{
2\epsilon_0}\cdot\rho_P\,\(\rho_P^2+z_M^2)^{\,-3/2}
}}}`$**
` **$`
\b
oldsymbol{
\m
athbf{
\h
space{2.3cm}=
\d
frac{
\d
ens^{2D}
\,
z_M}{
4
\p
i
\,\e
psilon_0}
\c
dot
\r
ho_P
\,\(\r
ho_P^2+z_M^2)^{
\,
-3/2
}}}
`$**
...
...
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