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Transcript
Transients in a series LRC circuit - Ringing (3) Vin L C R Vout The last, underdamped, results in an exponentially decaying envelope and a sinusoidal oscillations. This ringing is commonly observed. It can be thought of as two parts: a loss of energy related to R and an oscillation related to the product LC. This not exact so lets look at the mathematical solution. ï© 1 1 ï¹ t ï¹ ï© VR (t ) ï½ K1 cos ïª ï 2 2 t ïº exp ïªï ïºï» LC 4 R C 2 RC ï« ï« ï» When (RC)2>>LC the cos will oscillate several times at a frequency almost equal to the resonant frequency.
