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M3P2
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10d6ede3
Commit
10d6ede3
authored
Apr 27, 2024
by
Claude Meny
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Update 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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10d6ede3
...
@@ -588,9 +588,9 @@ $`\hspace{2.3cm}=\quad\dfrac{\dens^{1D}\cdot R\,d\varphi}{4\pi\epsilon_0}\cdot\d
...
@@ -588,9 +588,9 @@ $`\hspace{2.3cm}=\quad\dfrac{\dens^{1D}\cdot R\,d\varphi}{4\pi\epsilon_0}\cdot\d
! par le disque chargé, comme la somme intégrale des champs élémentaires créés en ce point $
`M`
$
! par le disque chargé, comme la somme intégrale des champs élémentaires créés en ce point $
`M`
$
! par tous les anneaux 'épais' qui composent le disque.
<br>
! par tous les anneaux 'épais' qui composent le disque.
<br>
!
<br>
!
<br>
! $
`E_z = \dfrac{\dens^{1D}}{2\epsilon_0}\cdot\dfrac{R\,z}{(R^2+z^2)^{\,3/2}}`
$
<br>
! $
`
d
E_z = \dfrac{\dens^{1D}}{2\epsilon_0}\cdot\dfrac{R\,z}{(R^2+z^2)^{\,3/2}}`
$
<br>
!
<br>
!
<br>
! devient
<br>
! devient
alors, la charge élémentaire étant situé maintenant à la distance variable $
`\rho`
$ et non $
`R`
$ :
<br>
!
<br>
!
<br>
! $
`dE_z = \dfrac{\dens^{2D}}{2\epsilon_0}\cdot\dfrac{\rho\,z}{(\rho^2+z^2)^{\,3/2}}\,d\rho`
$
<br>
! $
`dE_z = \dfrac{\dens^{2D}}{2\epsilon_0}\cdot\dfrac{\rho\,z}{(\rho^2+z^2)^{\,3/2}}\,d\rho`
$
<br>
!
<br>
!
<br>
...
...
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