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M3P2
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2af698a0
Commit
2af698a0
authored
Jan 29, 2024
by
Claude Meny
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Update cheatsheet.fr.md
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12.temporary_ins/20.magnetostatics-vacuum/10.effects-stationary-magnetic-field/20.overview/cheatsheet.fr.md
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2af698a0
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@@ -256,13 +256,13 @@ $`\quad\quad = I\,\pmatrix{+R\,\cos\,\varphi_P\,B_z\,d\varphi\\+R\,\sin\,\varphi
##### Force résultante appliquée à la spire
* La spire parcourue par le courant $`
I
`$ est constituée de tous les éléments de courant
$`
I
\,\o
verrightarrow{dl}_P
\w
edge
\o
verrightarrow{B}
`$ en tous les points de la spire repérés
$`
I
\,\o
verrightarrow{dl}_P
`$ en tous les points de la spire repérés
par l'angle $`
\v
arphi
`$ variant entre $`
0
`$ et $`
2
\p
i
`$.
* La force de Laplace s'appliquant à la totalité de la spire supposée indéformable, est la somme
(intégrale) des forces de Laplace élémentaires appliquées sur les éléments de courant :
<br>
$`
\m
athbf{
\o
verrightarrow{F}_{Laplace}=
\o
int_{
\v
arphi=0}^{varphi=
\p
i}
\o
verrightarrow{dF}_{Laplace
\,
,P}
$`
\m
athbf{
\o
verrightarrow{F}_{Laplace}=
\o
int_{
\v
arphi=0}^{varphi=
\p
i}
\o
verrightarrow{dF}_{Laplace
\,
,P}
`$
<br>
En **écriture matricielle** *dans le repère $`
(O
\,
,
\o
verrightarrow{e_x}
\,
,
\o
verrightarrow{e_y}
\,
,
\o
verrightarrow{e_z})
`$* :
<br>
...
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