Series parallel LC tank circuit Resonant Frequency equation?

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SUMMARY

The resonant frequency of a series-parallel LC circuit is determined by the total inductance and capacitance, which do not add linearly. For inductors in parallel, the total inductance is calculated by summing the reciprocals of each inductor's inductance and then taking the reciprocal of that sum. Conversely, for capacitors in series, the total capacitance is also calculated by summing the reciprocals of each capacitor's capacitance. This method ensures accurate calculations for resonance in such circuits.

PREREQUISITES
  • Understanding of inductance and capacitance
  • Familiarity with series and parallel circuit configurations
  • Knowledge of reciprocal calculations
  • Basic circuit diagram interpretation skills
NEXT STEPS
  • Study the formula for calculating total inductance in parallel circuits
  • Learn the method for calculating total capacitance in series circuits
  • Explore the concept of resonant frequency in LC circuits
  • Review practical applications of series-parallel LC circuits in electronics
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Electronics students, electrical engineers, hobbyists designing circuits, and anyone interested in understanding resonant frequency in LC tank circuits.

bitencrypt
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Hi

How would I calculate a series-parallel LC circuit for resonance? I added up all the μH and pF for the equation, would that be correct? The inductors are in parallel, and the capacitors in series.
 
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bitencrypt said:
Hi

How would I calculate a series-parallel LC circuit for resonance? I added up all the μH and pF for the equation, would that be correct? The inductors are in parallel, and the capacitors in series.

Welcome to the PF.

Can you post a drawing of the circuit, along with whatever is driving it?

Inductors in parallel and capacitors in series do not add linearly...
 
You could look here:
https://en.m.wikipedia.org/wiki/Series_and_parallel_circuits

You will see that the total inductance of inductors in parallel is calculated by adding their reciprocals, and then taking the reciprocal of that, just like resistors.

The capacitance of capacitors in series is calculated the same way
 


Here is the circuit. 1 element is 2 inductors and 2 capacitors, they are connected together
 
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