GATE Electrical Engineering (EE) 2019 Solved Paper

Question : 26 of 65

Marks: +1, -0

The output response of a system is denoted as

y(t)

, and its Laplace transform is given by

Y(s)=\;{10}/{s(s^{2}+s+100 √{2})}

The steady state value of

y(t)

Solution:

Given data:
Steady state value is

Y(∞)

∴ Y(∞)={Lt}↙{s-0} {s} Y(s)

=L t_{s → 0} s ⋅ \;{10}/{s(s^{2}+s+100 √{2})}

=\;{10}/{100 √{2}}=\;{1}/{10 √{2}}

∴ Y(∞)=\;{1}/{10 √{2}}

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