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True or false: a static electric field and a static magnetic field together imply energy flow.

  • A.True, and the flow can be extracted as useful power
  • B.False, because crossed static fields give a zero Poynting vector
  • C.False, if the vector's divergence vanishes everywhere no net transfer occurs
  • D.True, any non-zero Poynting vector meaning energy is flowing

Answer: C

Crossed static fields do give a non-zero Poynting vector, and the vector is not zero, but with nothing changing and no dissipation its divergence vanishes and no energy is transferred anywhere. The circulation is a well known curiosity of the formalism.

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