All Problems

Electric Oscillations

Problem 4.112

Find the quality factor of a circuit with capacitance \(C\) \(=2.0 \mu \mathrm{F}\) and inductance \(L=5.0 \mathrm{mH}\) if the maintenance of undamped oscillations in the circuit with the voltage amplitude across the capacitor being equal to \(V_{m}=1.0 \mathrm{~V}\) requires a power \(\langle P\rangle=\) \(=0.10 \mathrm{~mW}\). The damping of oscillations is sufficiently low.

Reveal Answer
Q=V2m2PCL=1.0102Q=\frac{V^{2} m}{2\langle P\rangle} \sqrt{\frac{C}{L}}=1.0 \cdot 10^{2}