Question

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of L2 after converting into first Cauer form.

(a) 1

(b) 1/2

(c) 1/4

(d) 1/8

I got this question at a job interview.

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

Answer 1

Correct option is (c) 1/4

The explanation is: On taking the continued fraction expansion of Z (s), the second quotient is s/4. So the value of L2 is 1/4 H.

L2 = 1/4 H.