1. The problem statement, all variables and given/known data There is a nonconducting solid sphere with uniform charge density rho and radius R=15 but it has a smaller hollow spherical cavity of radius a = 5, it is not centered: the distance between the center of the larger sphere is a distance b = 6 I'm trying to find the electric field at a point (1) a/2 to the left of the cavity's center and (2) a distance a/2 above the cavity's center. 3. The attempt at a solution I figured that since gauss' law states that E=q(enc)/(eps*A), the electric field would be zero in all three vector directions since there is no charge enclosed in the region, however there is an electric field in the i direction for both (1) and (2) - according to my solutions guide - and I can't see why since there seems to be no charge enclosed. Thanks for the help.