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 L2.

(a) 1/5

(b) 2/5

(c) 3/5

(d) 5/4

The question was posed to me by my college director while I was bunking the class.

My query 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 option is (d) 5/4

To explain I would say: On taking the continued fraction expansion the second quotient is 4/5s.

1/sL2 = 4/5s

So L2 = 5/4H.