Resonance Frequency of Circuit Involving Multiple Inductors

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SUMMARY

The discussion centers on calculating the resonance frequency of a circuit involving two inductors and a capacitor arranged in series. The participant questions the applicability of the formula L1 + L2 + k√(L1*L2) due to the presence of a capacitor separating the inductors. It is established that if there is no coupling between the inductors, they can be treated as impedances in series, and their effective inductance can simply be calculated by adding their individual inductances. Therefore, the standard series inductance formula applies in this scenario.

PREREQUISITES
  • Understanding of series circuits and impedance
  • Knowledge of inductors and capacitors
  • Familiarity with resonance frequency concepts
  • Basic grasp of electrical coupling and its effects
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  • Research the implications of electrical coupling between inductors
  • Learn about resonance frequency calculations in RLC circuits
  • Explore the effects of capacitor placement on circuit behavior
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Electrical engineers, circuit designers, and students studying resonance in RLC circuits will benefit from this discussion.

Fischer777
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I have two inductors and a capacitor in series, in the order of inductor, capacitor, inductor. I'm not sure if the equation L1+L2+k*√(L1*L2) will work in this case or not, given the inductors are separated (or offset) electrically from each other by a capacitor. So I guess my question is, can the formula for calculating effective inductance be used in this situation, or will I need a different formula?
 
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If there is no coupling between the inductors, then inductors in series simply add. (You treat the problem as impedances in series.)
 

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