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 C2.

(a) 1

(b) 1/2

(c) 1/3

(d) 1/4

I had been asked this question in unit test.

My question is taken from Synthesis of Reactive One-Ports by Cauer Method topic in division Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

Correct choice is (d) 1/4

To elaborate: The second quotient obtained on taking the continued fraction expansion is s/4 and this is the value of sC2. So the value of C2 = 1/4.