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:

• A. A
• B. B
• C. C
• D. D

Hint:

Remember that work done in moving a charge between equipotential surfaces is zero. The maximum work is done when the charge moves between the surfaces with the largest potential difference.

Answer 1

The Correct Option is D

Work done on a charge when it moves along an equipotential surface is zero because the potential difference between any two points on the same equipotential surface is zero. The work done \( W \) when moving a charge \( Q \) between two points with potential difference \( V_1 \) and \( V_2 \) is given by: \[ W = Q(V_2 - V_1) \] From the figure, the maximum potential difference occurs when the charge moves from the 25V surface to the 10V surface along path D. This gives the maximum potential difference, and thus the maximum work done will be along path D. Therefore, the correct answer is path D.