Question: A spherical shell with radius, R, and uniform free surface charge density, sigma, is coated on the outside with a layer of linear dielectric with

A spherical shell with radius, R, and uniform free surface charge density, sigma, is coated on the outside with a layer of linear dielectric with thickness, t, and electric susceptibility, X_e.

Find the electric field everywhere. Then, find the bound charge densities, and show that the the total bound charge of the dielectric coating adds up to zero.

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