Solveeit Logo
Login

Question

Question: The work done to move a unit charge along an equipotential surface from P to Q...

The work done to move a unit charge along an equipotential surface from P to Q

A

Must be defined as −∫POE.dl- \int_{P}^{O}{E.dl}

B

Is zero

C

Can have a non – zero value

D

Both (1) and (2) are correct

Answer

Both (1) and (2) are correct

Explanation

Solution

: Work done to move a unit charge along an equipotential surface from P to Q.

W=−∫PQE→.dl→W = - \int_{P}^{Q}{\overrightarrow{E}.d\overrightarrow{l}}

On equipotential surface, E→⊥dl→\overrightarrow{E}\bot d\overrightarrow{l}

∴\therefore W=−∫PQE(dl)cos⁡90o=0W = - \int_{P}^{Q}{E(dl)\cos 90^{o} = 0}