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Question

Why can't the electric field inside a conductor in electrostatic equilibrium have a tangential
component along its surface?

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Explanation

**Conductor in electrostatic equilibrium** has E=0 inside, charges reside on surface, potential constant throughout conductor. Hollow shell with no internal charge has zero field inside cavity, even if external field present, charges on outer surface screen interior, principle used in Faraday cage. In electrostatic equilibrium, the electric field inside a conductor is zero, and charges reside on the surface. If the electric field had a tangential component along the surface, it would exert a force on the free charges, causing them to move along the surface. This movement would contradict the condition of equilibrium where no net motion of charges occurs. Therefore, the field must

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