If a point charge q moves round in a circle about a charge, then the workdone by the charge is
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The system consisting of a point charge and the charged particle q has a definite amount of electrical potential energy that depends upon the distance between them .
So if we talk about work done then it has two aspects here
Work done because of change in the electrical potential energy: work done on a system of charged particle is equal to the change in electrical potential energy .Here electrical potential energy remains same as distance between the charged particle always remains equal to the radius of circle .so work done in this aspect is zero
Work done in moving the charged particle around circle: charge without mass is something absurd .so the point charge has some mass .so to keep it revolving in circle some force in the form of centripetel force is always required.However this force is always radial in direction and displacement of the particle is always tangential in circular trajactory. So force and displacement being perpendicular gives zero work done by the centripetel force . So no work is done in rotating the point charge around q is zero.
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