1. The problem statement, all variables and given/known data Help me understand why electric potential can ever be a nonzero value at a point within a charged conductor? I need conceptual reasons to help me make sense of the integration "flaw". (See below.) 2. Relevant equations The electric field inside a charged spherical conductor is zero. The electric potential at any point within a charged conductor is the same as the electric potential on the sphere's surface. 3. The attempt at a solution But if the equation for electric potential is the integral of the electric field dotted with the displacement vector and E is zero within the conductor---then V=Eds=0 mathematically...So help me understand why electric potential can ever be a nonzero value at a point within a charged conductor? Please use integration to demonstrate your point!