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Given a system function H(s) = \(\frac{1}{s+10}\). Let us consider a signal sin 10t. Then the steady state response is ___________(a) 1(b) 2(c) 0(d) 5I had been asked this question in a national level competition.My question is based upon Advanced Problems on Filters topic in chapter Filters and Attenuators of Network Theory

Answer»

Right option is (c) 0

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

= \(\frac{1}{s+10}\)

V(s) = \(\frac{1}{s+10}\) . J(s)

J(s) = L (SIN 10t) = \(\frac{10}{s^2+100}\)

V (s) = \(\frac{1}{s^2+100} . \frac{10}{s+10}\)

VSS = lims→0⁡ sV(s)

= 0.



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