In: Physics
Consider a spherical capacitor consisting of two concentric spherical shells of radii R1 and R2 that carry surface charge densities of σ0 and –σ0, respectively. The capacitor is filled with a linear but inhomogeneous dielectric whose relative permittivity is a function of distance from the center of the sphere εr = εr (r). (a) If energy density inside the capacitor (R1< r < R2) is constant and εr (R2) = 2, find εr (r). (b) Find the polarization P within the dielectric. (c) Find the volume ρB and surface σB bound charges. What is the total induced bound charge?