Question

The driving point impedance of a one-port reactive network is given by Z(s)=5(s^2+4)(s^2+25)/s(s^2+16). After taking the partial fractions, what is the value of C0?

(a) 1/125

(b) 4/125

(c) 2/125

(d) 3/125

The question was posed to me in a national level competition.

This interesting question is from Synthesis of Reactive One-Ports by Foster’s Method in portion Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

The correct answer is (b) 4/125

The explanation is: The coefficient of 1/s is 125/4.

And C0=1/P0

                              = 1/(125/4)=4/125 Farad.