All Problems

Electric Oscillations

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.

Reveal Answer
ω=1LC14R2C2;R<12LC\omega=\sqrt{\frac{1}{L C}-\frac{1}{4 R^{2} C^{2}}} ; R<\frac{1}{2} \sqrt{\frac{L}{C}}