Question

Consider the impedance function, Z(s)=(2s^2+8s+6)/(s^2+8s+12). Find the value of L2 after converting into second Cauer form.

(a) 5/50

(b) 10

(c) 5/49

(d) 49/5

The question was posed to me in an international level competition.

Query 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) 5/49

For explanation I would say: We obtain the fourth quotient i.e., 1/sL2 as 49/5s. So the value of L2 is 5/49 H.

L2 = 5/49H.