Problem 4.33 A dielectric cube of side a, centered at the origin, carries a "frozen- in" polarization P = kr, where k is a constant. Find all the bound charges, and check that they add up to zero. Problem 4.35 A point charge q is imbedded at the center of a sphere of linear dielectric material (with susceptibility Xe and radius R). Find the electric field, the polarization, and the bound charge densities, P. and op. What is the total bound charge on the surface? Where is the compensating negative bound charge located?