1. The problem statement, all variables and given/known data A nonconducting sphere of radius r0 carries a total charge Q. The charge density ρE increases as the square of the distance from the center of the sphere, and ρE=0 at the center. a) Determine the electric potential as a function of the distance r from the center of the sphere for r > r0. Take V=0 for r=∞. b) Determine the electric potential as a function of the distance r from the center of the sphere for r < r0. 2. Relevant equations Vb-Va = -∫E⋅dl 3. The attempt at a solution a) Because it is a sphere with total charge Q, E=kQ/r2 From ∞ to r, -∫kQ/r2 dr =-kQ * [-1/r](∞→r) = kQ/r Part a I think I understand OK. b) I don't know where to begin here really. Because r<r0, I can't use E=kQ/r^2. The question (I think) is saying that Q isn't distributed evenly. So would ρE = dQ/dV? How do I find E with a changing charge AND changing radius? Let me know if any of my formatting is weird, this is only my second time trying to post something.