A sinusoidal variation in the input passing through a linear first order system _________________?

Correct answer: D. Gets attenuated (magnitude decreases)

  • A. Becomes more oscillatory (frequency increases)
  • B. Becomes less oscillatory (frequency decreases)
  • C. Gets amplified (magnitude increases)
  • D. Gets attenuated (magnitude decreases)

Explanation

A linear first-order system preserves the input frequency but its transfer-function magnitude is less than one in the attenuating frequency range, so the sinusoidal output has reduced amplitude. It also experiences phase lag, but its frequency does not increase or decrease.

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