Question

The driving point impedance of an LC network is given by Z(s)=(s^4+4s^2+3)/(s^3+2s). By taking the continued fraction expansion using second Cauer form, find the value of L4.

(a) 5

(b) 2/5

(c) 3/5

(d) 4/5

I have been asked this question by my college professor while I was bunking the class.

This is a very interesting question from Synthesis of Reactive One-Ports by Cauer Method topic in section Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

Correct choice is (a) 5

The explanation is: We obtain the fourth quotient as 1/5s.

1/sL4 = 1/5s

L4 = 5H.