Can an electric field exist tangential to an equipotential surface?

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Solution

Explanation:
The answer is NO.
We know that,
An equipotential surface is a surface with a constant value of the potential at all points on the surface.
Therefore if the field lines are tangential, work will be done in moving a charge on the surface which goes against the definition of equipotential surface.
Hence, the electric field can't exist tangential to an equipotential surface.

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