Question

Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R2 after converting into first Cauer form.

(a) 1/4

(b) 2/4

(c) 3/4

(d) 4/4

I have been asked this question during an interview for a job.

The doubt is 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

Correct option is (c) 3/4

Easy explanation: We get the third quotient on performing continued fraction expansion of Z (s) as 4/3 and is the value of 1/R2. So the value of R2 is 3/4Ω .

R2 = 3/4Ω .