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# Meaning of complex frequency [closed]

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Closed as off topic by MissMulan‭ on Jul 10, 2022 at 18:43

This question is not within the scope of Physics.

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If we have a LC high pass filter the transfer function H(s) becomes:

$$H(s) = \cfrac{sL}{sL + \cfrac{1}{sC}}$$

If we solve for s to find a pole of the transfer function we get:

$$s = j \cfrac{1}{\sqrt{LC}}$$

In the case of a sinusoidal input signal = $s = j \omega \rightarrow \omega = \cfrac{1}{\sqrt{LC}}$

But in a case of a signal which may not be sinusoidal s can be a complex number and the result of this is that the pole exists at a complex frequency. But what physical meaning does a complex frequency have?

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