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The work done in carrying a charge between two points in a static electric field depends on

  • A.the length of the path taken between them
  • B.the shape of the path but not its length
  • C.the time taken to make the journey
  • D.the two end points only

Answer: D

Correct answer: the two end points only

The electrostatic field is conservative, so the line integral between two points is the same along every path and the work depends only on where the charge starts and finishes. That path independence is exactly what allows a potential function to be defined at all.

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