Question

In the figure curved lines represent equipotential surfaces. A charge Q is moved along different paths A, B, C and D. The work done on the charge will be maximum along the path:

Options

• A

• B

• C

• D

Answer 1

C

Explanation:

Work done = ΔV × Q

Work done does not depend on the path travelled because the electric field is a conservative field.

W(A) = (10 − 10) × Q

= 0

W(B) = (15 − 10) × Q

= 5 Q

W(C) = (25 − 10) × Q

= 15 Q

W(D) = (20 − 10) × Q

= 10 Q

Thus, maximum work is in C.