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M3P2
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e4eb76c1
Commit
e4eb76c1
authored
Jul 05, 2021
by
Claude Meny
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Update cheatsheet.fr.md
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12.temporary_ins/10.electrostatics-vacuum/30.gauss-theorem-demonstration/20.overview/cheatsheet.fr.md
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e4eb76c1
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@@ -224,7 +224,9 @@ Flux d'un champ de force centrale en $`1/r^2`$ à travers une surface fermée
...
@@ -224,7 +224,9 @@ Flux d'un champ de force centrale en $`1/r^2`$ à travers une surface fermée
##### Expression du flux élémentaire
##### Expression du flux élémentaire
*
$
`d\Phi_X=\overrightarrow{X}\cdot\overrightarrow{dS}`
$$
`\quad=\left(K\cdot x\cdot\dfrac{\overrightarrow{OM}}{OM^3}\right)\cdot\overrightarrow{dS}`
$$
`\quad=K\cdot x\cdot\left(\dfrac{\overrightarrow{OM}\cdot\overrightarrow{dS}}{OM^3}\right)`
$
<br>
*
$
`d\Phi_X=\overrightarrow{X}\cdot\overrightarrow{dS}`
$
$
`\quad=\left(K\cdot x\cdot\dfrac{\overrightarrow{OM}}{OM^3}\right)\cdot\overrightarrow{dS}`
$
$
`\quad=K\cdot x\cdot\left(\dfrac{\overrightarrow{OM}\cdot\overrightarrow{dS}}{OM^3}\right)`
$
**$`\mathbf{d\Phi_X=K\cdot x\cdot d\Omega}`$**
**$`\mathbf{d\Phi_X=K\cdot x\cdot d\Omega}`$**
##### La surface fermée ne contient pas la source ponctuelle du champ
##### La surface fermée ne contient pas la source ponctuelle du champ
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