The initial value (t = 0) of the unit step response of the transfer function [(s + 1)/(2s + 1)] is__________________?

Correct answer: B. ½

  • A. 0
  • B. ½
  • C. 1
  • D. 2

Explanation

For a unit step, the output is Y(s)=G(s)/s, so the initial value is lim[sY(s)] as s approaches infinity, which equals lim[(s+1)/(2s+1)] = 1/2.

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