GATE EE 2016 Set 2 — Question 31
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Control Systems → Compensators & Controllers → Lag, Lead & Lag-Lead
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Question
For the network shown in the figure below, the frequency (in rad/s) at which the maximum phase lag occurs is, ___________.
Correct answer
0.3 to 0.33
Solution
From the figure, the resistor is in series and the output is taken across the branch formed by the resistor in series with the F capacitor. By the voltage-divider rule:With , and F:This is a lag network with a zero at rad/s and a pole at rad/s. For such a network the phase is most negative at the geometric mean of the corner frequencies:Answer: rad/s
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