Consider an LTI system with transfer function, $H (s) = \frac{1}{s (s + 10)}$ . If input to the system is cos 2t and the steady state output is $A s i n (2 t + a),$ then the value of A is _______(Answer upto 2 decimal places)
0.05

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Solution

The correct option is A 0.05
$H (2 j) = \frac{1}{2 j (2 j + 10)}$

$| H (2 j) | = \frac{1}{2 \sqrt{100 + 4}} = 0.049$

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