Series parallel LC tank circuit Resonant Frequency equation?

Click For Summary

Discussion Overview

The discussion revolves around calculating the resonant frequency of a series-parallel LC circuit. Participants are exploring the correct method for combining inductances and capacitances in such configurations, focusing on the implications of having inductors in parallel and capacitors in series.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about the correct method to calculate resonance in a series-parallel LC circuit, mentioning their approach of adding up inductances in microhenries (μH) and capacitances in picofarads (pF).
  • Another participant suggests that inductors in parallel and capacitors in series do not add linearly, implying a need for a different calculation method.
  • A third participant references an external source, indicating that the total inductance for inductors in parallel is found by adding their reciprocals and then taking the reciprocal of that sum, similar to resistors. They also note that the capacitance for capacitors in series is calculated in the same manner.
  • A later reply includes a request for a circuit diagram to clarify the configuration of the components involved.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the correct method for calculating resonance in the described circuit. There are competing views on how to approach the calculations based on the configuration of the inductors and capacitors.

Contextual Notes

The discussion lacks specific details about the circuit configuration and the values of the components, which may affect the calculations. There are also unresolved mathematical steps regarding the combination of inductances and capacitances.

bitencrypt
Messages
6
Reaction score
0
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.
 
Engineering news on Phys.org
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
 
Last edited by a moderator:

Similar threads

  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 40 ·
2
Replies
40
Views
6K
  • · Replies 30 ·
2
Replies
30
Views
5K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
2
Views
3K
  • · Replies 32 ·
2
Replies
32
Views
6K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 8 ·
Replies
8
Views
3K