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If the gain of the critical damped system is increased it will behave as

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If the gain of the critical damped system is increased it will behave as

(a) Oscillatory

(b) Critically damped

(c) Overdamped

(d) Underdamped

I got this question by my college director while I was bunking the class.

Enquiry is from Solution of State Equations in section State Variable Analysis and Design of Control Systems

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Correct answer is (d) Underdamped

Explanation: Gain of the critical system is inversely proportional to the root of the damping factor and hence on increasing the gain the damping reduces and system becomes the underdamped.

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