Abstract

The equations for an R-C oscillator are derived completely from fundamental relationships without the use of alternating current concepts and without the use of complex numbers. Analyzed in this way, the R-C oscillator constitutes a good subject for an experiment dealing with the equation for simple harmonic motion. Theoretical expressions obtained for the frequency and for the damping coefficient can be verified by experiment, and either positive or negative damping may be had. With commonly available apparatus, the period may be made several seconds long. The oscillations and the growth or decay of amplitude with time can thus be observed directly with a milliammeter biased to read zero at its center. Familiarity with a simple two-stage triode amplifier constitutes the needed background in electronics for this experiment.

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