Question

Consider the impedance function Z(s)=3(s+2)(s+4)/(s+1)(s+3). Find the value of C2 after realizing by first Foster method.

(a) 1/3

(b) 3

(c) 3/2

(d) 2/3

The question was posed to me in an internship interview.

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

Answer 1

Correct option is (d) 2/3

To elaborate: We know P2 = 1/C2. The value of P2 is 3/2. So the value of C2 is 2/3 F.

C2 = 2/3 F.