Question

The unit impulse response of a system having transfer function K/(s+a) is shown below. The value of a is :

(a) t1

(b) t2

(c) 1/t1

(d) 1/t2

The question was asked by my college director while I was bunking the class.

The above asked question is from Time Response of First Order Systems in section Time Response Analysis, Design Specifications and Performance Indices of Control Systems

Answer 1

The correct option is (d) 1/t2

For explanation I would say: G(s) = K/s+a

  C(s) =K/(s+a) Since R(s) =1

  C(t) =Ke^^-at

  T=1/a

  C(t) =0.37K

  T= t2=1/a.