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The work done in carrying a charge round a closed path in a static electric field is

  • A.zero
  • B.the charge multiplied by the field and by the length of the path
  • C.positive if the path encloses charge and zero otherwise
  • D.equal to the flux of the field through the enclosed surface

Answer: A

The static field is irrotational, so its line integral round any closed path vanishes and the field is conservative. This is what allows a scalar potential to be defined and makes energy calculations independent of the path taken.

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