Question

The driving point impedance of an LC network is given by Z(s)=(2s^5+12s^3+16s)/(s^4+4s^2+3). By taking the continued fraction expansion using first Cauer form, find the value of C4.

(a) 1/2

(b) 1/4

(c) 3/4

(d) 1

The question was posed to me in an international level competition.

This intriguing question originated from Synthesis of Reactive One-Ports by Cauer Method in chapter Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

The correct choice is (c) 3/4

The best I can explain: We get the fourth quotient as 3s/4.

So sC4 = 3s/4.

C4 = 3/4F.