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 L1.

(a) s

(b) 2s

(c) 3s

(d) 4s

The question was asked by my college director while I was bunking the class.

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

Answer 1

Correct option is (b) 2s

For explanation: The first Cauer form of the network is obtained by taking the continued fraction expansion of given Z(s). And we get he first quotient as 2s.

So, L1 = 2s.