Question

For performing second Foster form, after splitting the Z (S) in 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), what is the coefficient of s/((s^2+4)) is?

(a) 1/35

(b) 2/35

(c) 3/35

(d) 4/35

I had been asked this question during an online exam.

Enquiry 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 choice is (b) 2/35

The explanation is: The value of A is (1/5)(s(s^2+16)))/(s-j2)(s^2+25) at s=-j2

On solving we get the value of A as 2/35.

So the coefficient of s/((s^2+4)) is 2/35.