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The charge density corresponding to a uniform flux density throughout a region is

  • A.equal to the flux density divided by a characteristic length
  • B.equal to the flux density itself
  • C.infinite
  • D.zero

Answer: D

Correct answer: zero

A uniform vector field has zero divergence, since nothing is varying with position, so the charge density is zero throughout. The field is being produced by sources outside the region - an infinite sheet of charge being the standard example of one that produces a uniform field with no charge in it.

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