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Which quantity would NOT be expected to vanish for a uniform vector field?

  • A.the line integral of the field round a closed path
  • B.the field itself
  • C.the divergence of the field
  • D.the curl of the field

Answer: B

A uniform field has the same value everywhere, so every spatial derivative of it is zero and both its divergence and curl vanish, which makes its closed line integral vanish too. The field itself is a non-zero constant.

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