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M3P2
Courses
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5e4a81b4
Commit
5e4a81b4
authored
Mar 27, 2024
by
Claude Meny
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Update cheatsheet.fr.md
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12.temporary_ins/20.magnetostatics-vacuum/30.ampere-therorem-demonstration/20.overview/cheatsheet.fr.md
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5e4a81b4
...
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@@ -593,7 +593,7 @@ sera ainsi un *courant local*.
un champ vectoriel
*$`\overrightarrow{X}`$*
,
**donne**
en tout point $
`P`
$ de l'espace
le vecteur $
`\overrightarrow{rot}\,\overrightarrow{X}_P`
$
**
.
<br>
Le
*
*
produit scalaire* de ce **
vecteur $
`\overrightarrow{rot}\,\overrightarrow{X}_P`
$
**
Le
*produit scalaire*
de ce
**vecteur $`\overrightarrow{rot}\,\overrightarrow{X}_P`$**
avec un
*élément vectoriel de surface $`\overrightarrow{dS}_P`$ quelconque*
situé en $
`P`
$ donne
la
*circulation du champ vectoriel $`d\mathcal{C}_X`$*
le long de la surface élémentaire $
`dS`
$,
_le sens positif de circulation sur_
$
`dS`
$ _étant lié au sens du vecteur_ $
`\overrightarrow{rot}\,\overrightarrow{X}_P`
$
...
...
@@ -602,7 +602,7 @@ _par la règle de la main droite_ :
*$`\Large\mathbf{d\mathcal{C}_{\overrightarrow{X}}=}\,`$*
**$`\Large\mathbf{\overrightarrow{rot}}\,\overrightarrow{X}\,`$**
*$`\mathbf{\cdot\overrightarrow{dS}}`$*
*
Le
**rotationnel**
*d'un champ vectoriel $`\overrightarrow{X}`$*
est un
**champ vectoriel**
noté
**$`\overrightarrow{rot}
}
\,\overrightarrow{X}`$**
.
noté
**$`\overrightarrow{rot}\,\overrightarrow{X}`$**
.
#### Quelles informations sur un champ $`\overrightarrow{X}`$ apporte $`\overrightarrow{rot}\,\overrightarrow{X}`$ ?
...
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