Consider a region inside which there are various types of charges but the total charge is zero. At points outside the region

Given is a region inside which there are various types of charges (both negative and positive) and the total charge is zero. This means that there are dipoles in the region considered.


We know that the electric field is, for large , where is the distance from the origin of a dipole. Therefore, for large number of dipoles in the given region, the electric field is .


We know that the definition of work done is defined as the product of force and displacement.


In this case, the force is the product of the electric field and the charge. Since the charge is moved along a closed path, the displacement is zero as the charge arrives at the original position from where it started. Therefore, the work done is zero.


Hence, option C and D are correct.

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