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 L5.

(a) 2

(b) 2/5

(c) 2/7

(d) 2/3

The question was asked during an internship interview.

This key question is 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

Correct choice is (d) 2/3

The best explanation: On taking the continued fraction expansion fifth quotient is 2s/3.

sL5 = 2s/3

So L5 = 2/3H.