GATE 2021 IN – Question 55
A sinusoid $(\sqrt2\sin t)u(t)$ is applied to $G(s)=1/(s+1)$, where $u$ is the unit step. The steady-state output amplitude is ______.
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Correct answer: 0.95 to 1.05
Explanation
At ω=1 rad/s, |G(j)|=1/|1+j|=1/√2. The input amplitude is √2, so the output amplitude is √2·1/√2=**1**. The step factor introduces a transient that decays and does not affect the steady-state amplitude.