Commit 2e548b7c authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 00a696b2
Pipeline #19950 failed with stage
...@@ -587,12 +587,10 @@ de la spire, qui porte l'élément de courant $`I\,\overrightarrow{dl}_{P'}`$ ...@@ -587,12 +587,10 @@ de la spire, qui porte l'élément de courant $`I\,\overrightarrow{dl}_{P'}`$
* L'**ensemble des points $`P`$ de la spire**, de coordonnées $`P = (R,\,\varphi_M,\,0)`$ * L'**ensemble des points $`P`$ de la spire**, de coordonnées $`P = (R,\,\varphi_M,\,0)`$
s'obtient en faisant varier *$`\varphi_P`$ entre $`0`$ et $`2\pi`$*. s'obtient en faisant varier *$`\varphi_P`$ entre $`0`$ et $`2\pi`$*.
<br> <br>
**$`\mathbf{H_M}`$** $`\displaystyle\;=\,\int_{\varphi=0}^{2\pi} \dfrac{I}{4\pi}\cdot\dfrac{R^2}{(R^2+z_M^2)^{\,3/2}} d\varphi`$ **$`\mathbf{H_M}`$** *$`\displaystyle\mathbf{\;=\,\int_{\varphi=0}^{2\pi} \dfrac{I}{4\pi}\cdot\dfrac{R^2}{(R^2+z_M^2)^{\,3/2}} d\varphi}`$*
<br>
$`\hspace{1.7cm}=\dfrac{I}{4\pi}\cdot\dfrac{R^2}{(R^2+z_M^2)^{\,3/2}}\times \int_{\varphi=0}^{2\pi}\,d\varphi`$
<br>
$`\hspace{1.7cm}=\dfrac{I}{4\pi}\cdot\dfrac{R^2}{(R^2+z_M^2)^{\,3/2}}\times 2\pi`$
<br> <br>
$`\displaystyle\hspace{1.7cm}=\dfrac{I}{4\pi}\cdot\dfrac{R^2}{(R^2+z_M^2)^{\,3/2}}\;\underbrace{\int_{\varphi = 0}^{2\pi}\,d\varphi}_{\color{blue}{=\big[\varphi\big]_0^{2\pi}=2\pi-0}}`$
<br>
**$`\mathbf{\hspace{1.7cm}=\dfrac{I}{2}\cdot\dfrac{R^2}{(R^2+z_M^2)^{\,3/2}}}`$**, **$`\mathbf{\hspace{1.7cm}=\dfrac{I}{2}\cdot\dfrac{R^2}{(R^2+z_M^2)^{\,3/2}}}`$**,
<br> <br>
Soit Soit
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