Question

Find the first reminder obtained by taking the continued fraction expansion in 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.

(a) 4s^3+10s

(b) 12s^3+10s

(c) 4s^3+16s

(d) 12s^3+16s

This question was posed to me in my homework.

I would like to ask this question 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

Right answer is (a) 4s^3+10s

The explanation: On taking the continued fraction expansion, the first reminder obtained is 4s^3+10s.