GATE EE 2021 Set 1 — Question 30
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Control Systems → Frequency Response & Root Locus → Bode Plots
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Question
The Bode magnitude plot for the transfer function of the circuit is as shown. The value of is ______ . (Round off to 2 decimal places.)

Correct answer
0.09 to 0.11
Solution
The transfer function of the series RLC circuit is:Comparing with the standard second-order form :From the Bode plot, the peak magnitude occurs at rad/s and is dB.At resonance, \frac{1}{2\zeta}\frac{1}{19.95}$ \approx 0.0501$$
Also, .
Also, .
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