Calculating Resonance Frequency and Amplitude in RLC Circuits

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Homework Help Overview

The discussion revolves around an experiment involving an RLC circuit in series, where the original poster collected data on resonance frequency and amplitude using an oscilloscope. They are tasked with comparing experimental results to theoretical calculations for resonance frequency and amplitude, but are uncertain about the appropriate equations to use.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to derive the resonance frequency and amplitude using various formulas, including those related to impedance. They express confusion over the discrepancies between their experimental results and theoretical predictions.
  • Some participants question the original poster's understanding of impedance and its role in voltage measurements across circuit components.
  • Others suggest examining the formulas used for amplitude calculations and the implications of measuring peak-to-peak voltage.
  • There are discussions about the behavior of the response curve and the nature of the theoretical versus experimental results.

Discussion Status

Participants are actively engaging with the original poster's queries, providing insights into impedance and voltage calculations. There is an ongoing exploration of the discrepancies in amplitude values and the characteristics of the response curves. Multiple interpretations of the equations and their implications are being discussed, indicating a productive exchange of ideas without a clear consensus yet.

Contextual Notes

The original poster mentions having repeated their experiments multiple times, suggesting a level of confidence in their data accuracy. They also note that their frequency range for plotting is 20Hz to 25000Hz, which aligns with their experimental setup.

  • #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.
 
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  • #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.
 

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