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For a sinusoidally varying field the time-averaged Poynting vector is

  • A.the product of the two rms field magnitudes
  • B.half the real part of \( \mathbf{E} \times \mathbf{H}^* \)
  • C.the real part of \( \mathbf{E} \times \mathbf{H}^* \)
  • D.half the imaginary part of \( \mathbf{E} \times \mathbf{H}^* \)

Answer: B

Using the conjugate of one field picks out the in-phase component, and the factor of one half converts from peak to mean when the amplitudes are peak values. The imaginary part represents reactive power that flows to and fro without net transfer.

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