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Which of the following would NOT change the flux through a given closed surface?

  • A.adding a charge inside the surface
  • B.removing a charge from inside the surface
  • C.changing the sign of an enclosed charge
  • D.moving an enclosed charge to a different position within the surface

Answer: D

The flux depends only on the algebraic total of the enclosed charge, so moving a charge about inside changes the field at every point of the surface but not the integral. All three of the other operations alter the enclosed total.

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