Commit f967d898 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent be261b85
Pipeline #16180 canceled with stage
...@@ -199,25 +199,26 @@ Image à faire ...@@ -199,25 +199,26 @@ Image à faire
* Si **$`\mathbf{\overrightarrow{dl}=+\,\rho_M\,\overrightarrow{e_{\varphi}}}`$** : * Si **$`\mathbf{\overrightarrow{dl}=+\,\rho_M\,\overrightarrow{e_{\varphi}}}`$** :
<br> <br>
**$`\mathbf{\oint_{\Gamma_A}\overrightarrow{B}\cdot\overrightarrow{dl}}`$** **$`\mathbf{\oint_{\Gamma_A}\overrightarrow{B}\cdot\overrightarrow{dl}}`$**
$`\quad=\oint_{\varphi=0}^{\varphi=2\pi}\big(B_{\varphi}(\rho_M)\,\overrightarrow{e_{\varphi}}\big)\cdot \big(+\rho_M\,d\varphi\,\overrightarrow{e_{\varphi}}\big)`$ $`\quad\quad=\oint_{\varphi=0}^{\varphi=2\pi}\big(B_{\varphi}(\rho_M)\,\overrightarrow{e_{\varphi}}\big)\cdot \big(+\rho_M\,d\varphi\,\overrightarrow{e_{\varphi}}\big)`$
<br> <br>
$`\quad=\displaystyle\quad=\oint_{\varphi=0}^{\varphi=2\pi}B_{\varphi}(\rho_M)\,\rho_M\,\big(\overrightarrow{e_{\varphi}}\cdot \overrightarrow{e_{\varphi}}\big) d\varphi`$ $`\displaystyle\quad\quad=\oint_{\varphi=0}^{\varphi=2\pi}B_{\varphi}(\rho_M)\,\rho_M\,\big(\overrightarrow{e_{\varphi}}\cdot \overrightarrow{e_{\varphi}}\big) d\varphi`$
<br> <br>
$`\quad=\displaystyle\quad=\rho_M\,B_{\varphi}(\rho_M)\,\oint_{\varphi=0}^{\varphi=2\pi}d\varphi`$ $`\displaystyle\quad\quad=\rho_M\,B_{\varphi}(\rho_M)\,\oint_{\varphi=0}^{\varphi=2\pi}d\varphi`$
<br> <br>
**$`\quad=\mathbf{\displaystyle\quad= 2\pi\,\rho_M\, B_{\varphi}(\rho_M)}`$** **$`\quad\quad=\mathbf{\displaystyle\quad= 2\pi\,\rho_M\, B_{\varphi}(\rho_M)}`$**
<br> <br>
* Si *$`\mathbf{\overrightarrow{dl}=-\,\rho_M\,\overrightarrow{e_{\varphi}}}`$* : * Si *$`\mathbf{\overrightarrow{dl}=-\,\rho_M\,\overrightarrow{e_{\varphi}}}`$* :
<br> <br>
*$`=\mathbf{\oint_{\Gamma_A}\overrightarrow{B}\cdot\overrightarrow{dl}}`$* *$`=\mathbf{\oint_{\Gamma_A}\overrightarrow{B}\cdot\overrightarrow{dl}}`$*
$`\quad=\displaystyle\quad=\oint_{\varphi=0}^{\varphi=2\pi}\big(B_{\varphi}(\rho_M)\,\overrightarrow{e_{\varphi}}\big)\cdot \big(-\rho_M\,d\varphi\,\overrightarrow{e_{\varphi}}\big)`$
<br> <br>
$`\quad=\displaystyle\quad=-\oint_{\varphi=0}^{\varphi=2\pi}B_{\varphi}(\rho_M)\,\rho_M\,\big(\overrightarrow{e_{\varphi}}\cdot \overrightarrow{e_{\varphi}}\big) d\varphi`$ $`\displaystyle\quad\quad=\oint_{\varphi=0}^{\varphi=2\pi}\big(B_{\varphi}(\rho_M)\,\overrightarrow{e_{\varphi}}\big)\cdot \big(-\rho_M\,d\varphi\,\overrightarrow{e_{\varphi}}\big)`$
<br> <br>
$`\quad=\displaystyle\quad=-\rho_M\,B_{\varphi}(\rho_M)\,\oint_{\varphi=0}^{\varphi=2\pi}d\varphi`$ $`\displaystyle\quad\quad=-\oint_{\varphi=0}^{\varphi=2\pi}B_{\varphi}(\rho_M)\,\rho_M\,\big(\overrightarrow{e_{\varphi}}\cdot \overrightarrow{e_{\varphi}}\big) d\varphi`$
<br> <br>
*$`\quad=\mathbf{\displaystyle\quad= -\,2\pi\,\rho_M\, B_{\varphi}(\rho_M)}`$* $`\displaystyle\quad\quad=-\rho_M\,B_{\varphi}(\rho_M)\,\oint_{\varphi=0}^{\varphi=2\pi}d\varphi`$
<br>
*$`\quad\quad=\mathbf{\displaystyle\quad= -\,2\pi\,\rho_M\, B_{\varphi}(\rho_M)}`$*
#### Quelle surface ouverte $`\mathscr{S}_A`$ s'appuyant sur $`\Gamma_A`$ choisir ? #### Quelle surface ouverte $`\mathscr{S}_A`$ s'appuyant sur $`\Gamma_A`$ choisir ?
......
Markdown is supported
0% or
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment