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If the work done in moving a charge of 3 C from A to B is 12 J, then the potential difference between A and B is

  • A.5 V
  • B.4 V
  • C.36 V
  • D.26 V
  • E.10 V

Answer: B

The potential difference is 4 V.

Potential difference is the work done per unit charge in moving a charge between the two points:

\[ \begin{aligned} V &= \frac{W}{q} = \frac{12\ \text{J}}{3\ \text{C}} \\ &= 4\ \text{V} \end{aligned} \]

One volt is one joule per coulomb. 36 V multiplies the work by the charge instead of dividing, and the other values do not come from W/q.

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