Question

Consider the impedance function Y(s)=(s^2+4s+3)/(3s^2+18s+24). Find the value of R0 after realizing by second Foster method.

(a) 4

(b) 8

(c) 12

(d) 16

I have been asked this question in an interview for job.

This question is 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

Right choice is (b) 8

To explain I would say: The second Foster Form can be realized by taking the reciprocal of the impedance function and by taking partial fractions. So we get 1/R0 as 1/8. So the value of R0 is 8Ω.

R0 = 8Ω.