All Problems

Electric Oscillations

Problem 4.112

Find the quality factor of a circuit with capacitance CC =2.0μF=2.0 \mu \mathrm{F} and inductance L=5.0mHL=5.0 \mathrm{mH} if the maintenance of undamped oscillations in the circuit with the voltage amplitude across the capacitor being equal to Vm=1.0 VV_{m}=1.0 \mathrm{~V} requires a power P=\langle P\rangle= =0.10 mW=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}