ISRO Electrical Engineering (EE) 2018 - Question 2

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What is the impulse response for the system indicated below? [Figure description: A unity negative-feedback block diagram. Input R(s) enters a summing junction (+ at input, - at feedback), followed by a block 1/Ts (T = time constant), whose output is C(s); the output C(s) is fed straight back (unity feedback) to the negative input of the summing junction.]

  • A. (1/T) e^(-t/T) u(t)
  • B. T e^(-Tt) u(t)
  • C. (1/T) e^(-t/T)
  • D. T e^(-Tt)

Answer: A. (1/T) e^(-t/T) u(t)

Explanation: C/R = (1/Ts)/(1+1/Ts) = 1/(Ts+1), so the impulse response is (1/T)e^(−t/T)u(t).

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