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This is mostly another view on @Olin's answer. For different input signals the frequency of the pole will have different values ,the pole as a pole exists for some specific values of L,C s but t...
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#1: Initial revision
by
a concerned citizen
·
2022-07-11T18:48:25Z (almost 2 years ago)
This is mostly another view on [@Olin's answer](https://electrical.codidact.com/posts/286698/286700#answer-286700).
> For different input signals the frequency of the pole will have different values ,the pole as a pole exists for some specific values of L,C s but the frequency of the pole changes.
The poles of an LTI system do not change. Since you're giving an example of a highpass, look at it from this perspective: all the values are given by the consituent inductors and capacitors. If those do not change over time then the system has fixed values. If not, the system is no longer LTI. Also, the pole in your example is at $\pm j/\sqrt{LC}$, since it's a quadratic.