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Question

Physics Question on electrostatic potential and capacitance

The work done to move a unit charge along an equipotential surface from PP to QQ

A

must be defined as −∫PQE⃗.dl→-\int\limits_{P}^{Q} \vec{E} . \overrightarrow{dl}

B

is zero

C

can have a non-zero value

D

both (a)(a) and (b)(b) are correct

Answer

both (a)(a) and (b)(b) are correct

Explanation

Solution

Work done to move a unit charge along an equipotential surface from PP to QQ, W=−∫PQE⃗.dl→W= -\int\limits_{P}^{Q} \vec{E} . \overrightarrow{dl} On equipotential surface E⃗ ⊥ dl⃗\vec{E}\, \bot \,d \vec{l} W=−∫PQE(dl)cos 90∘=0W =- \int\limits_{P}^{Q} E\left(dl\right)cos\,90^{\circ}=0