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True or false: the reflection coefficient at a boundary can exceed unity in magnitude.

  • A.False for a passive boundary, the reflected power then exceeding the incident
  • B.True, whenever the second medium is a conductor
  • C.True, whenever the second impedance exceeds the first
  • D.True, the coefficient having no upper limit

Answer: A

Correct answer: False for a passive boundary, the reflected power then exceeding the incident

A passive boundary cannot return more power than arrives, and since the reflected power goes as \( |\Gamma|^2 \), a magnitude above one would violate conservation of energy. The coefficient can be negative, as at a perfect conductor where it is exactly \( -1 \), and it can be complex for a lossy second medium - but its magnitude never exceeds unity.

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