Multiple inductor or capacitor RLC circuits

AI Thread Summary
The natural frequency of an RLC circuit is given by ω0=(LC)-1/2, but this formula changes when multiple inductors or capacitors are involved. In circuits with components in parallel and series, the overall impedance must be calculated to determine the new natural frequency. The discussion emphasizes the importance of circuit diagrams for accurate analysis. The AC impedances for resistors, inductors, and capacitors are defined as R, jωL, and 1/(jωC), respectively. Understanding these concepts is crucial for analyzing complex RLC circuits effectively.
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So I know that the equation for the natural frequency of an RLC circuit is:
ω0=(LC)-1/2
I'm just wondering how this would change for a circuit with more than one inductor or capacitor. Say for instance an inductor in parallel with a capacitor, both connected in series to another inductor.

Cheers in advance for any help you can give me.
 
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It is easy to write down an equation and even analyze it, once a circuit diagram exists. Specifically, the ac impedances of resistors, inductors, and capacitors are R. jωL, and 1/(jωC).
 
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