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 L3.

(a) 8

(b) 8/3

(c) 8/5

(d) 8/7

The question was asked in unit test.

Asked question is 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

The correct option is (b) 8/3

For explanation I would say: By taking the continued fraction expansion, the third quotient is 8s/3.

sL3 = 8s/3.

So L3 = 8/3H.