All Problems

Electric Oscillations

Problem 4.107

An oscillating circuit consists of capacitance \(C=10 \mu \mathrm{F}\), inductance \(L=25 \mathrm{mH},\) and active resistance \(R \quad 1.0 \Omega .\) How many oscillation periods does it take for the current amplitude to decrease \(\mathrm{e}\) -fold?

Reveal Answer
n=12π4LCR21=16n=\frac{1}{2 \pi} \sqrt{\frac{4 L}{C R^{2}}-1}=16