Irodov...

A very thin round plate of radius R carrying a uniform surface density x is located in vaccum.
At a dist l from the platers centre (along its axis), find the field and potential....

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66
kaymant ·

The potential
V=\int_0^R \dfrac{\sigma 2\pi r \mathrm{d}r}{4\pi\epsilon_0\sqrt{r^2+\ell^2}}
To obtain the field use, E_\ell = -\dfrac{\partial V}{\partial \ell}

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