Resonance Frequency of Series LCL circuit

AI Thread Summary
The resonance frequency of a series LCL circuit, consisting of two inductors and a capacitor, can be calculated using the formula 1/2π√((L1+L2)*C) when the inductors are not coupled. This formula applies regardless of the configuration, as long as the inductors are in series and uncoupled. The discussion clarifies that the arrangement does not need to resemble that of a Hartley oscillator for the formula to be valid. Understanding the conditions for resonance frequency is crucial for accurate circuit analysis. The resonance frequency formula is applicable to any series LCL circuit under the specified conditions.
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I have a circuit that is two inductors and a capacitor in series, in the order inductor, capacitor, inductor, and I want to know what the resonance frequency of the system is (see image). I've heard before that, given the inductors are not coupled, it is just 1/2π√((L1+L2)*C), however, I am not sure if that only pertains to a circuit where the inductors are connected directly, such as in a Hartley oscillator.

Thanks for the help.
 

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It pertains to any circuit where the inductors are in series AND where there is no coupling.
 
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