Question

Find frequency of rlc circuit from the second order differential equation

Answer 1

econd-order, RLC circuit. The second-order solution is reasonably complicated, and a complete understanding of it will require an understanding of differential equations. This book will not require you to know about differential equations, so we will describe the solutions without showing how to derive them. The derivations may be put into another chapter, eventually.

The aim of this chapter is to develop the complete response of the second-order circuit. There are a number of steps involved in determining the complete response:

Obtain the differential equations of the circuit Determine the resonant frequency and the damping ratio Obtain the characteristic equations of the circuit Find the roots of the characteristic equation Find the natural response Find the forced response Find the complete response