GATE EC 2016 Set 2 — Question 57
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Control Systems → Frequency-Domain Analysis → Bode Plots
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Question
The asymptotic Bode phase plot of , with and both positive, is shown below.
The value of is ________

Correct answer
0.95 to 1.05
Solution
The transfer function is .
The phase expression is .
From the asymptotic Bode phase plot, at rad/s, the phase is .
We know that for .
Therefore, .
Substituting this into the equation:
.
The phase expression is .
From the asymptotic Bode phase plot, at rad/s, the phase is .
We know that for .
Therefore, .
Substituting this into the equation:
.
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