A first order system with a time constant of 1 min is subjected to frequency response analysis. At an input frequency of 1 radian/min, the phase shift is______________?

Correct answer: D. -45°

  • A. 45°
  • B. -90°
  • C. -180°
  • D. -45°

Explanation

For a first-order system, the phase angle is -tan⁻¹(ωτ). Here ωτ = 1 × 1 = 1, giving a phase shift of -tan⁻¹(1) = -45°.

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