1. The problem statement, all variables and given/known data Lets say, there is a non-uniform charge distribution, given as in a spherical shell that has a cavity with radius a and the radius b to the outer surface. I am wondering if the field is discontinuous just on the surface of this sphere. 2. Relevant equationshttp://blob:https://www.physicsforums.com/94bddccf-abed-4c26-bd7c-fdd42ade2eca [Broken] Φ=∫E.da=Q/ε0 3. The attempt at a solution I know that the infinitely charged plane with a surface charge density σ is discontinuous. I am wondering if this is true for any surfaces regardless of shape and size. Using Gauss' law, I obtained , which does not say anything about the discontinuity at b. Also, if I slice a tiny portion of the outer surface, will I be able to get a surface charge density since the charge is symmetrically distributed all over the shell?