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A field is described as solenoidal when

  • A.its divergence vanishes everywhere
  • B.its curl vanishes everywhere
  • C.both its divergence and its curl vanish everywhere
  • D.it can be written as the gradient of a scalar

Answer: A

Solenoidal means divergence-free, so the flux out of every closed surface is zero and the field lines close on themselves rather than beginning or ending. A curl-free field is irrotational instead, and that is the one expressible as a gradient. A field may be either, both, or neither

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