Irodov Problem 3.27

As in case of Problems 3.25 and 3.26, the spherical symmetry in the problem suggests the use of a spherical Gaussian Surface to find the electric field. Consider a Gaussian surface of radius r. The total charge contained in this sphere is given by,










The Electric field on the Gaussian surface can now be computed as,







The Tailor's series expansion for is given by,





Hence,









On the other hand,