Question

Consider the impedance function Z(s)=(s^2+6s+8)/(s^2+3s). Find the value of R1 after performing the second Cauer form.

(a) 9/10

(b) 10/9

(c) 8/9

(d) 9/8

I got this question in quiz.

Enquiry is from Synthesis of R-C Network by Cauer Method topic in chapter Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

Right choice is (b) 10/9

The explanation is: The second quotient on performing continued fraction expansion is 9/10. This is the value of 1/R1. So the value of R1 is 10/9Ω.

R1 = 10/9Ω.