Question

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of L3 after converting into first Cauer form.

(a) 4/3

(b) 3/4

(c) 4/5

(d) 5/4

The question was posed to me during an interview.

This intriguing question originated from Synthesis of R-L Network by Cauer Method topic in portion Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

The correct option is (b) 3/4

Easiest explanation: The fourth quotient obtained is 3s/4. And this is the value of sL3. So the value of L3 is 3/4 H.

L3 = 3/4 H.