A unit step is applied at t=0 to a first order system without time delay. The response has the value of 1.264 units at t=10 mins, and 2 units at steady state. The transfer function of the system is_____________(a) 3/(1+600s)(b) 2/(1+500s)(c) 5/(1+220s)(d) 2/(1+600s)This question was posed to me during an online exam.I would like to ask this question from Time Response of First Order Systems topic in chapter Time Response Analysis, Design Specifications and Performance Indices of Control Systems

A unit step is applied at t=0 to a first order system without time del

1.	A unit step is applied at t=0 to a first order system without time delay. The response has the value of 1.264 units at t=10 mins, and 2 units at steady state. The transfer function of the system is_____________(a) 3/(1+600s)(b) 2/(1+500s)(c) 5/(1+220s)(d) 2/(1+600s)This question was posed to me during an online exam.I would like to ask this question from Time Response of First Order Systems topic in chapter Time Response Analysis, Design Specifications and Performance Indices of Control Systems
Answer» RIGHT choice is (d) 2/(1+600s) The EXPLANATION: a(t)= k[1-e^^-t/T] K=2 0.632= 1-e^^-10/T T=600 sec G(s)=2/(1+600s).

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