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Which statement about the far field of an antenna is NOT correct?

  • A.the field amplitude falls as the inverse first power of distance
  • B.the wave is very nearly a uniform plane wave over a small region
  • C.the Poynting vector there is largely reactive
  • D.the power density falls as the inverse square of distance

Answer: C

Correct answer: the Poynting vector there is largely reactive

That describes the *near* field, not the far field. Far from an antenna the vector is almost entirely real, since that is what radiation means. The other three statements are all correct: the field amplitude falls as \( 1/r \), the power density therefore as \( 1/r^2 \), and over a small region the wavefront is flat enough to be treated as a uniform plane wave.

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