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Answer to Question #27406 in Electromagnetism for Shourya Saraswat

Question #27406
A charge q is distributed uniformly throughout a spherical volume of radius R . Setting V=0 at infinity , show that the potential at a distance r from the center , where r<R , is given by

V = q [3(R)^2-(r)^2] / 8(pi)(epsilon)(R)^3
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