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Consider the function F (s) =5/s (s^2+s+2) , where F (s) is the Laplace transform f (t). Then the final value theorem is equal to

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Consider the function F (s) =5/s (s^2+s+2)  , where F (s) is the Laplace transform f (t). Then the final value theorem is equal to

(a) 5

(b) 5/2

(c) Zero

(d) Infinity

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

My enquiry is from Experimentation of Transfer Function in chapter Frequency Response Analysis of Control Systems

1 Answer

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Right answer is (b) 5/2

Easiest explanation: Final value theorem is given for the stable system only and this is a type 1 system and for step input the final value can be calculated as 5/2.

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