Question

The work done to move a charge of 3 C from A to B is 12 J. Find potential difference between A and B.

• A. 4 V
• B. 6 V
• C. 12 V
• D. 3 V

Hint:

The formula \( W = qV \) is useful for finding potential difference when work and charge are known. It's important to remember the units for work (Joules) and charge (Coulombs).

Answer 1

The Correct Option is B

The work done \( W \) to move a charge \( q \) through a potential difference \( V \) is given by the formula: \[ W = qV \] where: - \( W = 12 \, \text{J} \) (work done), - \( q = 3 \, \text{C} \) (charge). We can rearrange the formula to solve for the potential difference \( V \): \[ V = \frac{W}{q} = \frac{12}{3} = 4 \, \text{V} \] Thus, the potential difference between points A and B is 4 V.