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Which of the following transfer function will have the greatest maximum overshoot?

(a) 9/(s^2+2s+9)

(b) 16/(s^2+2s+16)

(c) 25/(s^2+2s+25)

(d) 36/(s^2+2s+36)

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The correct answer is (d) 36/(s^2+2s+36)

The explanation is: Comparing the characteristic equation with the standard equation the value of the damping factor is calculated and the value for the option d is minimum hence the system will have the maximum overshoot .

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