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For the function F (s) = (s+5)/s(s^2+2s+5), after splitting this function into the partial fractions, determine the co-efficient of 1/(s+1-j2)?(a) -1/4(b) 1/4(c) -1/2(d) 1/2The question was posed to me in an internship interview.My query is from Inverse Transforms in section Intoduction to the Laplace Transform of Network Theory

Answer»

The correct answer is (c) -1/2

Easiest explanation: To obtain the CONSTANT B*, MULTIPLY the given EQUATION with (s+1+J2) and putting s = -1-j2. B* = (s + 1 +j2)F (s)|s = -1 – j2 = (s+5)/s(s+1-j2)|s=-1-j2 = -1/2.



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