Problem 4.115

Find the damped oscillation frequency of the circuit shown in Fig. $4.30 .$ The capacitance $C,$ inductance $L,$ and active resistance $R$ are supposed to be known. Find how must $C, L,$ and $\mathrm{R}$ be interrelat ed to make oscillations possible.

\omega=\sqrt{\frac{1}{L C}-\frac{1}{4 R^{2} C^{2}}} ; R<\frac{1}{2} \sqrt{\frac{L}{C}}

Electric Oscillations