1.

For the system 2/s+1, the approximate time taken for a step response to reach 98% of its final value is:(a) 1s(b) 2s(c) 4s(d) 8sI got this question during a job interview.Query is from Time Response of Second Order Systems in section Time Response Analysis, Design Specifications and Performance Indices of Control Systems

Answer»

Correct choice is (C) 4s

For EXPLANATION: C(s)/R(s) = 2/s+1

R(s) = 1/s (STEP INPUT)

C(s) = 2/s(s+1)

c(t) = 2[1-e^-t]

1.96 = 2[1-e^-T]

T= 4SEC.



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