31. Alternating Current
Series LRC Circuits
3:27 minutes
Problem 30.83
Textbook Question
Textbook QuestionShow that the fraction of electromagnetic energy lost (to thermal energy) per cycle in a lightly damped (R² ≪ 4L/C) LRC circuit is approximately
∆U = 2πR = 2π
U Lω Q
The quantity Q can be defined as Q = Lω/R, and is called the Q-value, or quality factor, of the circuit and is a measure of the damping present. A high Q-value means smaller damping and less energy input required to maintain oscillations.
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