Answer :

We know work done in moving a charge from one point to another is given by relation


Where W is the work done in the process, Q is the charge, ΔV is the potential difference or change in potential in going from one point to another.

a dipole is system consisting of two charges equal in magnitude and opposite in nature (One is Positive, other is negative) and separated by some distance

We know electric dipole moment of a dipole is given by,

p = q.d

Where, q is magnitude of either of charge and d is separation between them

Now plane passing through the midpoint joining the two charges is called equatorial plane, equatorial plane is an equipotential surface, i.e. potential is same everywhere or it is constant, when charge moves from A to B, there is no change in potential as both points lie on same equatorial plane so potential difference or change in potential is

ΔV = 0 V

Now the magnitude of charge is

Q = q C

So the work done is

W = q × 0 = 0 J

i.e. work done in the process is 0 J

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