GATE EC 2020 Set 1 — Question 59
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Question
A system with transfer function is subjected to an input . The steady state output of the system is . The value of is ______.
Correct answer
3.95 to 4.05
Solution
Given the transfer function and input , the steady-state output is where .
Since , .
This matches the given phase shift of .
1.Calculate the magnitude :
2.The output amplitude is given as :
Since , .
3.Verify the phase:
radians.This matches the given phase shift of .
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