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C23-4 Following from the assumption that we are talking about an electrostatic interactions, in an electrostatic situation, the charge accumulates entirely on the surface of the conductor in electrostatics the electric field at every point within the material of a conductor must be zero for every el...
C23-4 ProofDeferred Consider the case where in C23-E Q23.11 there exists a touching pair of equipotential surfaces, this implies at that point an abrupt/step change in the electric field lines at that point, meaning at such a point the direction of $\vec{E}$ cannot be determined.
C23-4 When all electric charge is at rest (an electrostatic interactions) the surface of a electrical conductivity, and resistivity is always an equipotential surface.