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Why are electric field lines perpendicul...

Why are electric field lines perpendicular at a point on an equipotential surface of a conductor ?

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Show that electric field is always directed perpendicular to an equipotential surface.

The angle between the equipotential surface and the electric field (or line of force) at any point on the equipotential surface is

The angle between the equipotential surface and the electric field (or line of force) at any point on the equipotential surface is