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The reason the divergence form of Gauss's law is preferred for a problem with a continuously varying charge density is that it

  • A.gives the density at each point without any integration
  • B.avoids the need to know the permittivity of the medium
  • C.applies to conductors
  • D.requires no symmetry

Answer: A

Differentiating a known flux density gives the charge density directly, whereas the integral form would need a surface integral for every region of interest. Both forms are exact and neither is restricted to symmetrical cases.

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