A first order system with unity gain and time constant η is subjected to a sinusoidal input of frequency w = 1/η. The amplitude ratio for this system is______________?

Correct answer: C. 1/√2

  • A. 1
  • B. 0.5
  • C. 1/√2
  • D. 0.25

Explanation

For a first-order system, the amplitude ratio is 1/√[1+(ωη)²]. With ωη = 1, it becomes 1/√2.

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