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The theorem that converts Gauss's law between its integral and differential forms is

  • A.the divergence theorem
  • B.Stokes's theorem
  • C.Green's theorem
  • D.the superposition principle applied to the sources

Answer: A

The divergence theorem equates the volume integral of the divergence to the closed surface integral of the flux, so equating both to the enclosed charge gives the two forms of the same law. Stokes's theorem performs the same office for Ampere's law.

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