Question

Consider the impedance function Z(s)=(s^2+6s+8)/(s^2+3s). Find the value of C2 after performing the second Cauer form.

(a) 3

(b) 3/10

(c) 3/100

(d) 3/1000

This question was addressed to me by my college director while I was bunking the class.

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

Answer 1

Right choice is (c) 3/100

Explanation: On performing continued fraction expansion, the third quotient is 100/3s. So the value of C2 is 3/100 F.

C2 = 3/100 F.