All Problems

Electric Oscillations

Problem 4.136

A solenoid with inductance L=7mHL=7 \mathrm{mH} and active resistance R=44ΩR=44 \Omega is first connected to a source of direct voltage V0V_{0} and then to a source of sinusoidal voltage with effective value V=V0.V=V_{0} . At what frequency of the oscillator will the power consumed by the solenoid be η=5.0\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}