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A test charge q is made to move in the electric field of a point charge Q along two different closed paths. First path has sections along and perpendicular to lines of the electric field, the second path is a rectangular loop of the same area as the first loop. How does the work done compare in the two cases?
Work done is zero in both the cases. The work done by the electric force on the charge is in the closed-loop which is equal to zero.