Question

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

(a) 1/6

(b) 1/12

(c) 1/24

(d) 1/48

The question was asked in an interview.

My question is taken from Synthesis of R-C Network by Cauer Method in division Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

The correct option is (c) 1/24

For explanation: We obtain the fourth quotient on performing continued fraction expansion as s/24.

So the value of C2 is 1/24 F.

C2 = 1/24 F.