Question

Consider the impedance functionZ(s)=(s^2+6s+8)/(s^2+3s). Find the value of R2 after performing the first Cauer form.

(a) 4

(b) 3

(c) 6

(d) 9

I had been asked this question in an online interview.

Asked question is from Synthesis of R-C Network by Cauer Method topic in portion Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

The correct answer is (d) 9

To explain I would say: On performing the continued fraction expansion we get the third quotient as 9.

So the value of R2 is 9Ω.

R2 = 9Ω.