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. Both B & C correct

Answer

D

Explanation

From the knowledge of theorry, work done to move a charge along an equipotential from `A` to `B`,
`W = - int_(A)^(B) vec(E). Vec(dl)`
On equipotenital surface, `vec(E) _|_ vec(dl)`
`W = - int_(A)^(B) E(dl) cos 90^(@) = Zero`.
Choices (b) and (C ) are correct.