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Control SystemsTime Response

For a first-order system with time constant T, the unit-step response reaches approximately 63.2% of its final value at?

  • At=T
  • Bt=2T
  • Ct=5T
  • Dt=T/10
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Correct Answer: A. t=T
Explanation: The normalized first-order step response is 1-e^(-t/T); at t=T it equals 1-e^-1≈0.632.
Reference: Standard control systems: time response
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