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 L2?

(a) 135/60

(b) 135/62

(c) 135/64

(d) 135/66

This question was addressed to me in unit test.

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

Answer 1

The correct option is (c) 135/64

For explanation I would say: We know L2 = 2P2/ωn^2

                              = (2×135)/(16×8)=135/64 H.