why is the surface of a charge conductor of any shape equipotential
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Equipotential lines are perpendicular to electric field lines in every case. For a three-dimensional version, explore the first media link. ... This implies that a conductor is an equipotential surface in static situations. There can be no voltage difference across the surface of a conductor, or charges will flow.
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Answer: One of the rules for static electric fields and conductors is that the electric field must be perpendicular to the surface of any conductor. This implies that a conductor is an equipotential surface in static situations. There can be no voltage difference across the surface of aconductor, or charges will flow.
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