# Given a system function H(s) = $\frac{1}{s+3}$. Let us consider a signal sin 2t. Then the steady state response is ___________

+1 vote
Given a system function H(s) = $\frac{1}{s+3}$. Let us consider a signal sin 2t. Then the steady state response is ___________

(a) $\frac{1}{8}$

(b) Infinite

(c) 0

(d) 8

I have been asked this question during an interview for a job.

Asked question is from Properties of ROC in section Laplace Transform and System Design of Signals and Systems

## 1 Answer

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by (42.1k points)
Correct choice is (c) 0

For explanation I would say: H(s) = $\frac{V(s)}{J(s)}$

= $\frac{1}{s+3}$

V(s) = $\frac{1}{s+3}$. J(s)

J(s) = L (sin 2t) = $\frac{2}{s^2+4}$

V (s) = $\frac{1}{s^2+4} . \frac{2}{s+3}$

VSS = lims→0 sV(s)

= 0.

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