(a) Suppose the potential is a constant V0 over the surface of the sphere. Use the results of Ex. 3.6 and Ex. 3.7 to find the potential inside and outside the sphere. (Of course, you know the answers in advance–this is just a consistency check on the method.)
(b) Find the potential inside and outside a spherical shell that carries a uniform surface charge σ0, using the results of Ex. 3.9.