Answer :


No, two equipotential surfaces cannot cut each other. When two equipotential surfaces intersect at a point, the potential at that point will have two values which is not possible. Also, electric field is perpendicular to the equipotential surface, when two surfaces intersect there will be two directions of the electric field ( one of each equipotential surface) which is not possible either.
Hence, two equipotential surfaces cannot cut each other.


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