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A quarter-wave layer used to match two media should have an intrinsic impedance equal to

  • A.the geometric mean of the two impedances
  • B.the arithmetic mean of the two impedances
  • C.the difference between the two impedances
  • D.the larger of the two impedances

Answer: A

The quarter-wave section transforms the load impedance to the square of its own impedance divided by that load, so choosing the geometric mean makes the transformed value equal the source impedance. It is the principle of the antireflection coating on a lens.

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