First useful circuit from the Harvard Physics 123 course I am taking this semester — a famed course taught by the authors of the cult textbook “The Art of Electronics.”
Fellow Media Labber Noah Feehan and I made this pretty fast, probably in 30 minutes.
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The schematic:

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The circuit seen from the oscilloscope:

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[Video] In action:
Physics 123 - AM Radio from fatti_k on Vimeo.