Imagine a spherically symmetric charge density
p(x) = Cr for r≤a and 0 for r>a
(a) determine the electric field E(x) and potential V(r). Notice that V(r) and E(x) are continuous at r=a.
(b) Now suppose additional charge is placed uniformly on the surface at r=a, with surface density σ0. Determine E(x) and V(r) for this case. E(x) is discontinuous at r=a, but V(r) is continuous. Explain why.
I am not sure where even to start... can someone point me in the right direction?