Question

Consider the impedance function, Z(s)=(2s^2+8s+6)/(s^2+8s+12). Find the value of R3 after converting into second Cauer form.

(a) 1/5

(b) 14/5

(c) 5/14

(d) 5

The question was asked during an interview for a job.

I'd like to ask this question from Synthesis of R-L Network by Cauer Method topic in chapter Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

Right option is (b) 14/5

Easiest explanation: The value of R3 is 14/5Ω as the fifth quotient obtained is 5/14.

R3 = 5/14Ω.