Question

what is the work done in moving a charge of Q coulombs against a potential difference of V volts?

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Answer 1

the work done, W=VQ

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Answer 2

The correct answer to the question is zero i.e the work done by a moving charge q on the surface of  a charged conductor having potential v  is zero.

EXPLANATION:

As per the question, the charged particle has charge q.

The potential at the surface of the conductor is v.

The potential at the surface of the conductor is uniform i.e it is a equipotential surface.

The work done by a charged particle which moves from any point A to point B is calculated as -

work done W =

Here,  is the potential at A

is the potential at B.

The work done by the charged particle on the surface of the conductor is calculated as -

work done W = (v-v)×q

= 0.                           [ANS]

Here, the potential of any points is same as it is a equipotential surface.