Question

·A spherically symmetric charge distribution ?(r) given as follows: for rè R R'is a positive constant. Calculate the electric field E for rs Rand rR. (-points) 2.pr)- Where p 30/r E at reR is zero (O because p)0
Please ignore written Work. Write out answer clearly. Thanks

Answer 1

for r <R, let us consi der a sphere of radius r and thickness dr then volume is dV-4ju dr so charge contained in dV is, 3 4R so, charge contained in the sphere of radius r is given by q above Now from Gauss's law, flux through a sphere of radisu r is, e0 torr >R total charge containedin the sphere is given by putting r-R in (1) above, so R3 R so, following the argum ent for r <R, here too we find or, E(47m)- poR

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