Assertion (A): Work done in moving a charge around a closed path in...

Question

Assertion (A): Work done in moving a charge around a closed path in an electric field is always zero.

Reason (R): Electrostatic force is a conservative force.

Accepted Answer

Analysis of Assertion:
For a closed path, initial and final positions are the same. Hence net displacement = 0.
Work done W = ∮ F·dl = 0 for conservative forces.
Assertion is TRUE.

Analysis of Reason:
Electrostatic force is indeed a conservative force because:
• Work done depends only on end points
• Work done in closed loop is zero
Reason is TRUE.

Connection:
The fact that work done in a closed path is zero is a direct consequence of the conservative nature of electrostatic force. So Reason correctly explains the Assertion.

Answer: Option (A) — Both A and R are true, and R is the correct explanation of A.

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