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The transfer function of the compensator is s+4/s+16. The maximum phase lead frequency and the corresponding phase is :

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The transfer function of the compensator is s+4/s+16. The maximum phase lead frequency and the corresponding phase is :

(a) 6 rad/sec, 36.87°

(b) 8 rad/sec, 36.87°

(c) 6 rad/sec, -36.87°

(d) 8 rad/sec, -36.87°

The question was posed to me by my school principal while I was bunking the class.

The above asked question is from Cascade Compensation in Frequency Domain in section Design of Control Systems

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The correct choice is (b) 8 rad/sec, 36.87°

Explanation: Phase lead frequency is calculated when magnitude of transfer function is 1 and this is the phase cross over frequency and the phase is calculated by using the tanget formula with the transfer function.

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