Yale University

PHYS 381/504: Op. amps., quartz resonators, and noise

Introduction
Johnson Noise
Macroscopic Derivation
Microscopic Derivation
Install and Test the Optical Amplifier
Install the Tuning Fork
Welcome to LabView
Tune out the Package Capacitance
Gather Data
Load the Driven Circuit Data
Fit the Driven Circuit Data
Find Circuit Characteristics from this Fit
Analyze the Undriven Circuit from Characteristics
Final Results
References
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Yale University

Andrew Pariser, December 2005
modified S.M., January 2006

© 2006 Yale University, New Haven, Connecticut 06520

Data Gathering

Set the file directory

SetDirectory['H:\Documents and Settings\All Users\Documents\'05-'06\Fall\PHYS381\JohnsonNoise\FinalData'] ;

Load in the data (in decibals)

response_dB = ReadList['Driven1Tuned', {Number, Number}] ;

Pull out only the peak values from this data.  Adjust the two numerical parameters here in order to get a good window on the peak at 216 Hz.

Peak_dB = Drop[Drop[response_dB, 15500], -45250] ;

Here you can observe the (beautifully tuned) resonance peak.

PlotPeak_dB = ListPlot[Peak_dB, PlotJoined→True, PlotRange→All]

data gathering

-Graphics -

Convert the data into volts so we can fit it with a Lorentz curve.

Peak_V = Table[{Peak_dB[[j, 1]], 10^Peak_dB[[j, 2]]/10}, {j, 1, Length[Peak_dB]}] ;

You can observe the plot of the noise power spectrum in voltage by uncommenting this line.

(* PlotPeak_V = ListPlot[Peak_V, PlotJoined→True] *)

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