Question

Consider a function Z(s)=5(s+1)(s+4)/(s+3)(s+5). Find the value of R1.

(a) 4/3

(b) 5/3

(c) 3/5

(d) 3/4

I had been asked this question in a national level competition.

Origin of the question is Synthesis of R-L Network by the Foster Method in portion Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

Correct answer is (b) 5/3

To explain: On taking the partial fractions, we get P1 as 5/3 and we know R1=P1. So the value of R1 is 5/3Ω.

R1 = 5/3Ω.