2023 BFY4 Abstract Detail Page
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| Abstract Title: |
Realizing the Fourier Series |
| Abstract: |
Using simply an inexpensive three component electronic band-pass filter, a function generator, and an oscillscope, students can realize the Fourier series through interactions with a physical system and measurements. As an exercise in our upper division physics labs, we have students assemble and perform measurements with an RLC band-pass filter circuit, demonstrating resonant and other phenomena with sinusoidal waveforms. The differential equation for the circuit is a good context for introducing or reviewing the Fourier series for periodic functions and its application in linear differential equations. After the introduction/review, we have students apply both square and triangle waveforms as inputs to the filter. By adjusting the frequency of these waveforms so that harmonics correspond with the measured resonant frequency of the filter, a very clear qualitative confirmation of the Fourier series is obtained. Measurements of signal amplitudes can also be performed and shown to be consistent with the terms obtained by the usual analytic method of the Fourier series. |
| Abstract Type: |
Poster
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Author/Organizer Information |
| Primary Contact: |
Michael Braunstein
Central Washington University
Ellensburg, WA 98926
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