1.

For the function F (s) = (s^2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions, the co-efficient of 1/(s+5) is?(a) 1.1(b) 2.1(c) 3.1(d) 4.1The question was posed to me in unit test.My doubt is from Inverse Transforms in section Intoduction to the Laplace Transform of Network Theory

Answer»

The CORRECT OPTION is (b) 2.1

For explanation: To obtain the constant B, multiply the given equation with (s+5) and putting s = -5. B = (s + 5)F (s) |s=-5 = (s^2+s+1)/s(s+3)|s=-5 = 2.1.



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