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The critical value of gain for a system is 40 and gain margin is 6dB. The system is operating at a gain of:

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The critical value of gain for a system is 40 and gain margin is 6dB. The system is operating at a gain of:

(a) 20

(b) 40

(c) 80

(d) 120

The question was asked in exam.

Query is from Bode Plots topic in chapter Frequency Response Analysis of Control Systems

1 Answer

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The correct choice is (a) 20

The explanation: Gm (dB) = 20log⁡GM

GM =2

As we know, GM =K (marginal)/K (desired)

K desired =40/2 =20.

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