# Finding Damping Factor, Circuits Stability etc.

#### ltkenbo

Joined Sep 11, 2008
30
So I am in circuits II class and we are learning about analyzing RLC circuits using Laplace Transforms and then using that to find circuit stability, damping factor (zeta).... I understand how to find this using the form:

s^2 + 2ζωs + ω^2

from the denominator of a function, however I don't understand when analyzing a circuit, which variable to solve for.

Like in this problem: http://www.4shared.com/file/214385515/2c766263/RLGCpara.html?

It was easy, after finding V(s), I just analyzed the denominator using the above form to find zeta and omega.

However, in this problem:
http://www.4shared.com/file/214385509/3cdb1f09/DampSelect.html?

We are asked to find a value basically of a dependent current source that will provide several different ranges. Here I don't know where to start. Like sure I can write some equations, but which one do I use to analyze for zeta?

#### t_n_k

Joined Mar 6, 2009
5,455
It's a fairly simple matter to upload pdf files direct to the AAC site. Trying to access your images through the links supplied in your post is an unnecessarily laborious task.