Question

Consider the impedance function, Z(s)=(2s^2+8s+6)/(s^2+8s+12). Find the value of R2 after converting into second Cauer form.

(a) 6/7

(b) 7/6

(c) 7/8

(d) 8/7

I got this question during a job interview.

This intriguing question comes from Synthesis of R-L Network by Cauer Method topic in section Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

Correct choice is (d) 8/7

The best I can explain: On taking the continued fraction expansion, we get third quotient as 8/7. So the value of R2 is 8/7Ω.

R2 = 8/7Ω.