Series RLC - calculate V w/ different ƒ

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Discussion Overview

The discussion revolves around calculating the voltage across a resistor in a series RLC circuit configured as a band pass filter for different frequencies. Participants are exploring the application of relevant equations and experimental data from a lab setting.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Experimental/applied

Main Points Raised

  • One participant presents the circuit parameters (R, Vi, C, L) and seeks guidance on calculating the voltage across the resistor at various frequencies.
  • Another participant notes the absence of certain values (specifically L and C) in the initial post, suggesting that complete information is necessary for further assistance.
  • A third participant confirms the relevance of the voltage divider equation provided and suggests reducing the result to magnitude and angle (polar) form for clarity.
  • Participants discuss the use of an oscilloscope for measuring output voltage and the need to compare measured values with theoretical calculations to find percentage error.

Areas of Agreement / Disagreement

There is no consensus on the calculations as participants are still seeking additional information and clarification on the parameters involved. Multiple viewpoints on how to approach the calculations and measurements are present.

Contextual Notes

Some assumptions about the circuit configuration and the specific frequency values remain unaddressed. The discussion does not resolve the necessary steps for calculating the voltage across the resistor.

dwn
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Homework Statement


Series RLC - Band Pass Filter[/B]
R = 2700Ω
Vi = 5 Vpp
C = 10 nF
L = 33 mH
I need to find the voltage across the resistor for different frequencies.

Homework Equations


w = 2pi*ƒ
V = R*Vi / (jwL + 1/jwC+R)

The Attempt at a Solution


This is from a lab experiment. How can I use the source voltage, R and ƒr to find the voltage across R at different frequencies.

-----update -----
sorry about that. new values added above.
 
Last edited:
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dwn said:

Homework Statement


Series RLC - Band Pass Filter[/B]
R = 2700Ω
Vi = 5 Vpp
I need to find the voltage across the resistor for different frequencies.

Homework Equations


w = 2pi*ƒ
V = R*Vi / (jwL + 1/jwC+R)

The Attempt at a Solution


This is from a lab experiment. How can I use the source voltage, R and ƒr to find the voltage across R at different frequencies.
You haven't given all the information required: What are the values of L and C?
 
Your relevant equations are indeed relevant. You've correctly written a voltage divider equation which will give you the voltage across the resistor for values of Vi and f. Of the the result will be a complex value. You might try reducing it to magnitude and angle (polar) form. In the lab, what device (test equipment) was used to read the output voltage?
 
We used an oscilloscope to read the measured values, now I have to calculate the data with the given data for comparison. Then find the percentage error.
 
dwn said:
We used an oscilloscope to read the measured values, now I have to calculate the data with the given data for comparison. Then find the percentage error.
Okay. So you'll have recorded values for the waveform peaks, thus the voltage magnitudes, for various frequencies. You can use your voltage divider equation to calculate the voltage and determine the theoretical magnitude values. Again, you might want to reduce the formula to a magnitude version.
 

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