Question:

An equipotential surface through a point is normal to the electric field at that point.Explain

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Solution and Explanation

Equipotential Surface is Normal to the Electric Field

An equipotential surface is a surface on which the electric potential is the same at every point.

If the electric field had a component along the surface, positive work would be done in moving a test charge on the surface, causing a change in potential. This is not possible on an equipotential surface.

Hence, the electric field has no tangential component and is always perpendicular (normal) to the equipotential surface.

\[ \boxed{\text{Electric field is normal to an equipotential surface.}} \]

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