All Problems

Electric Oscillations

Problem 4.110

Damped oscillations are induced in a circuit whose quality factor is \(Q=50\) and natural oscillation frequency is \(v_{0}=5.5 \mathrm{kHz}\) How soon will the energy stored in the circuit decrease \(\eta=2.0\) times?

Reveal Answer
tQ2πv0lnη=1.0 mst \approx \frac{Q}{2 \pi v_{0}} \ln \eta=1.0 \mathrm{~ms}