Calculating Resonance Frequency and Amplitude in RLC Circuits

Click For Summary
SUMMARY

The forum discussion centers on calculating the resonance frequency and amplitude of a series RLC circuit using experimental data and theoretical equations. The experiment involved a circuit with a total resistance of 2300 ohms, an inductance of 0.081 H, and a capacitance of 1.5E-8 F, yielding a maximum amplitude of 21.5V at a resonance frequency of 16 kHz. Participants discussed the correct formulas for amplitude and resonance frequency, including A=(v0/C)/sqrt((R^2)(w^2)+L^2(w^2-(1/LC))^2) and |V_o| = V_{in} / sqrt(R^2 ω^2 C^2 + ω^4 L^2 C^2 - 2 ω^2 L C + 1). The conversation highlighted discrepancies between experimental and theoretical results, particularly regarding amplitude and frequency values.

PREREQUISITES
  • Understanding of RLC circuit theory
  • Familiarity with impedance and its calculations
  • Knowledge of resonance frequency formulas
  • Proficiency in using Excel for data analysis and plotting
NEXT STEPS
  • Study the derivation of the resonance frequency formula for RLC circuits
  • Learn about the impact of component tolerances on circuit performance
  • Explore the concept of Q factor in RLC circuits and its effect on resonance
  • Investigate the differences between RMS and peak-to-peak voltage measurements
USEFUL FOR

Electrical engineering students, hobbyists working with RLC circuits, and anyone involved in circuit analysis and design will benefit from this discussion.

  • #31
I'm trying to add this part to my lab now. I now assume that 0.0015 µF and 8V peak to peak rather than RMS. I don't see however how you find the values, because when I plug the new variable values in the previous equation I don't get what you posted.
 
Physics news on Phys.org
  • #32
Hmm. If you go to the Excel workbook that I posted and change the capacitance and voltage, how does the plot look?
 
  • #33
It works fine now, was changing the wrong variable. Definetly one of the more confusing labs I did... but I learned a lot from it mainly thanks to you! :smile:
 
  • #34
No problem. I enjoyed it, too.:smile:

Good luck.
 

Similar threads

  • · Replies 21 ·
Replies
21
Views
1K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 12 ·
Replies
12
Views
7K
  • · Replies 10 ·
Replies
10
Views
1K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
17
Views
3K
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
1K