ISRO Electrical Engineering (EE) 2015 - Question 64

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If the unit step response of a network is (1 - e^-αt) then its unit impulse response is

  • A. α e^-αt
  • B. (1 - α^-1) e^-αt
  • C. α^-1 e^-αt
  • D. (1 - α) e^-αt

Answer: A. α e^-αt

Explanation: The unit impulse response h(t) is the time derivative of the unit step response s(t): h(t) = d/dt [1 − e^(−αt)] = α·e^(−αt).

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