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Two antennas of equal gain are separated by a distance that is then doubled. The received power falls to

  • A.half of its former value
  • B.an eighth of its former value
  • C.the same value, gain compensating for distance
  • D.a quarter of its former value

Answer: D

The power density at the receiver falls as the inverse square of the distance and the effective aperture is unchanged, so the received power falls by four, which is six decibels. This is the free space path loss and it dominates every link budget.

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