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A system with transfer function 1/Ts+1, subjected to a step input takes to seconds to reach 50% of step height. The value of t is :(a) 6.9s(b) 10s(c) 14.4s(d) 20sI have been asked this question in a job interview.Question is taken from Time Response of First Order Systems in division Time Response Analysis, Design Specifications and Performance Indices of Control Systems

Answer»

Correct CHOICE is (c) 14.4s

To ELABORATE: The RESPONSE of a first ORDER system is:

A(t)=a[1-e^-t/T]

½= 1-e^-10/t

T= 14.43 sec.



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