All Problems

Electric Oscillations

Problem 4.110

Damped oscillations are induced in a circuit whose quality factor is Q=50Q=50 and natural oscillation frequency is v0=5.5kHzv_{0}=5.5 \mathrm{kHz} How soon will the energy stored in the circuit decrease η=2.0\eta=2.0 times?

Reveal Answer
t≈Q2πv0ln⁡η=1.0 mst \approx \frac{Q}{2 \pi v_{0}} \ln \eta=1.0 \mathrm{~ms}
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