The work done to move a charge along an equipotential from `A` to `B`

Options

A. cannot be defined as `-int_(A)^(B)E.dl`
B. must be defined as `-int_(A)^(B)E.dl`
C. is zero
D. can have a non-zero value

Answer

C

Explanation

Work done in displacing a cahrge particle is given by `W_(12)=q(V_(2)-V_(1))` and the line integral of electrical field from point 1 to 2 gives potential difference `V_(2)-V_(1)=-int_(1)^(2)E.dl` for equipotential surface, `V_(2)-V_(1)=0 and W=0`.