Commit ec4cf8b4 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 5da3e898
Pipeline #16809 canceled with stage
...@@ -539,6 +539,7 @@ figure ...@@ -539,6 +539,7 @@ figure
! $`E_z = \dfrac{\dens^{1D}}{2\epsilon_0}\cdot\dfrac{R\,z}{(R^2+z^2)^{\,3/2}}`$<br> ! $`E_z = \dfrac{\dens^{1D}}{2\epsilon_0}\cdot\dfrac{R\,z}{(R^2+z^2)^{\,3/2}}`$<br>
! <br> ! <br>
! devient <br> ! devient <br>
! <br>
! $`dE_z = \dfrac{\dens^{2D}}{2\epsilon_0}\cdot\dfrac{\rho\,z}{(\rho^2+z^2)^{\,3/2}}\,d\rho`$ <br> ! $`dE_z = \dfrac{\dens^{2D}}{2\epsilon_0}\cdot\dfrac{\rho\,z}{(\rho^2+z^2)^{\,3/2}}\,d\rho`$ <br>
! <br> ! <br>
! $`\hspace{1cm} = \dfrac{\dens^{2D}\,z}{2\epsilon_0}\cdot \rho\,(\rho^2+z^2)^{-\,3/2}\,d\rho`$<br> ! $`\hspace{1cm} = \dfrac{\dens^{2D}\,z}{2\epsilon_0}\cdot \rho\,(\rho^2+z^2)^{-\,3/2}\,d\rho`$<br>
...@@ -553,7 +554,8 @@ figure ...@@ -553,7 +554,8 @@ figure
! !
! $`\displaystyle E_z = \int_{\rho = 0}^R \dfrac{\dens^{2D}\,z}{2\epsilon_0}\cdot \rho\,(\rho^2+z^2)^{-\,3/2}\,d\rho`$<br> ! $`\displaystyle E_z = \int_{\rho = 0}^R \dfrac{\dens^{2D}\,z}{2\epsilon_0}\cdot \rho\,(\rho^2+z^2)^{-\,3/2}\,d\rho`$<br>
! <br> ! <br>
! $`\displaystyle \hspace{1cm} = \dfrac{\dens^{2D}\,z}{2\epsilon_0} \int_{\rho = 0}^R\dfrac{1}{2}\,2\rho\,(\rho^2+z^2)^{-\,3/2}\,d\rho`$<br> ! $`\displaystyle \hspace{1cm} = \dfrac{\dens^{2D}\,z}{2\epsilon_0} \int_{\rho = 0}^R\dfrac{1}{2}\times
! \underbrace{2\rho}_{u^{\,'}}\,\underbrace{(\rho^2+z^2)^{-\,3/2}}_{u^n}\,d\rho`$<br>
! <br> ! <br>
! $`\displaystyle \hspace{1cm} = \dfrac{\dens^{2D}\,z}{2\epsilon_0} \big[\underbrace{\dfrac{1}{2}\times\dfrac{1}{-3/2+1}} ! $`\displaystyle \hspace{1cm} = \dfrac{\dens^{2D}\,z}{2\epsilon_0} \big[\underbrace{\dfrac{1}{2}\times\dfrac{1}{-3/2+1}}
! _{=\frac{1}{2}\,\times \,(-2) \,=\, -1}(\rho^2+z^2)^{-\,1/2}\big]_0^R`$<br> ! _{=\frac{1}{2}\,\times \,(-2) \,=\, -1}(\rho^2+z^2)^{-\,1/2}\big]_0^R`$<br>
......
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