# Electric Potential inside and outside a spherical Shell

1. Find the electric potential inside and outside a uniformly charged sphere of radius R, and whose total charge is q. Use infinity as your reference point. Compute the gradient of V in each region and check that it yields the correct field. Sketch V(r).

2. I used the theorem that electric potential equals the negative integral of the electric field dotted with dl.

3. They way I tried to solve this was that I said the electric field inside the sphere is zero and the electric field outside the sphere was from Gauss's law