Question

Consider the impedance function Z(s)=(s^2+6s+8)/(s^2+3s). Find the value of C1 after performing the second Cauer form.

(a) 1/2

(b) 3/8

(c) 1/4

(d) 1/8

This question was addressed to me in class test.

I'm obligated to ask this question of Synthesis of R-C Network by Cauer Method in section Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

The correct choice is (b) 3/8

The best explanation: The second Cauer network can be obtained by arranging the numerator and denominator polynomials of Z(s) in ascending powers of s. After performing the continued fraction expansion, we get

C1 = 3/8 F.