Question

The solution of differential equations for networks is of the form?

(a) i(t)=Kn e^⁡(sn t)

(b) i(t)=Kn e⁡^(-sn t)

(c) i(t)=-Kn e⁡^(-sn t)

(d) i(t)=-Kn e⁡^(sn t)

I have been asked this question by my college director while I was bunking the class.

This intriguing question originated from The Concept of Complex Frequency in chapter S-Domain Analysis of Network Theory

Answer 1

Right option is (a) i(t)=Kn e^⁡(sn t)

Explanation: The solution of differential equations for networks is of the form

i(t)=Kn  e^⁡(sn t) where Sn is a complex number which is a root of the characteristic equation.