Resonance Frequency of Series LCL circuit

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SUMMARY

The resonance frequency of a series LCL circuit, consisting of two inductors (L1 and L2) and one capacitor (C), is calculated using the formula 1/2π√((L1+L2)*C). This formula applies specifically when the inductors are not magnetically coupled. The discussion clarifies that this resonance frequency calculation is valid for any series configuration of uncoupled inductors and a capacitor, not limited to specific circuit types like the Hartley oscillator.

PREREQUISITES
  • Understanding of series LCL circuits
  • Knowledge of inductance and capacitance
  • Familiarity with resonance frequency concepts
  • Basic circuit analysis skills
NEXT STEPS
  • Study the derivation of the resonance frequency formula for series LCL circuits
  • Explore the effects of coupling on resonance frequency in inductors
  • Learn about different types of oscillators, including Hartley and Colpitts
  • Investigate practical applications of LCL circuits in electronics
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Electrical engineers, circuit designers, and students studying electronics who seek to understand resonance in LCL circuits and its applications in various electronic devices.

Fischer777
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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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