All Problems

Electric Oscillations

Problem 4.136

A solenoid with inductance \(L=7 \mathrm{mH}\) and active resistance \(R=44 \Omega\) is first connected to a source of direct voltage \(V_{0}\) and then to a source of sinusoidal voltage with effective value \(V=V_{0} .\) At what frequency of the oscillator will the power consumed by the solenoid be \(\eta=5.0\) times less than in the former case?

Reveal Answer
v=R2πLη1=2kHzv=\frac{R}{2 \pi L} \sqrt{\eta-1}=2 \mathrm{kHz}