All Problems

Electric Oscillations

Problem 4.107

An oscillating circuit consists of capacitance C=10μFC=10 \mu \mathrm{F}, inductance L=25mH,L=25 \mathrm{mH}, and active resistance R1.0Ω.R \quad 1.0 \Omega . How many oscillation periods does it take for the current amplitude to decrease e\mathrm{e} -fold?

Reveal Answer
n=12π4LCR2−1=16n=\frac{1}{2 \pi} \sqrt{\frac{4 L}{C R^{2}}-1}=16
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