There are basically three types of charge densities; linear [tex]\lambda[/tex] (over a thin ring or rod), surface [tex]\sigma [/tex] over a thin flat surface, and over a volume [tex]\rho [/tex](adsbygoogle = window.adsbygoogle || []).push({});

The problem is how these densities produce an electric field: applying Coulomb's law for the electrostatic force using appropriate differentials to match the geometry. The first two aren't two bad; but it's the charge in a sphere (as well as out) done in spherical co-ordinates and using Gauss' law in differential form to find the charge density [tex]\rho [/tex], and then in integral form to find the total charge.

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# Chrage density

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