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

  • A.a charge from one point to the other against the field
  • B.a charge once round a closed path joining the two points
  • C.the source charge from infinity to the nearer of the two points
  • D.unit charge through unit distance along the field direction

Answer: A

Correct answer: a charge from one point to the other against the field

\[ V_{ab} = -\int_b^a \mathbf{E}\cdot d\mathbf{l}. \] The work is per unit charge, so the result is a property of the field and the two points rather than of the charge moved. Moving round a closed path returns zero, which is the same statement that makes the field conservative.

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