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The propagation constant of a wave in a lossy medium is written \( \gamma = \alpha + j\beta \), in which \( \alpha \) is

  • A.the attenuation constant, in nepers per metre
  • B.the phase constant, in radians per metre
  • C.the intrinsic impedance of the medium
  • D.the phase velocity of the wave in the medium

Answer: A

Correct answer: the attenuation constant, in nepers per metre

In \( \gamma = \alpha + j\beta \), the real part governs how the amplitude decays and the imaginary part how the phase advances: the wave varies as \( e^{-\alpha z}e^{-j\beta z} \). The neper is the natural-logarithm unit, so one neper is a fall to \( 1/e \) - and one neper equals 8.686 decibels.

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