All Problems

Electric Oscillations

Problem 4.138

A coil with inductance L=0.70HL=0.70 \mathrm{H} and active resistance r=20Ωr=20 \Omega is connected in series with an inductance-free resistance RR An alternating voltage with effective value V=220 VV=220 \mathrm{~V} and frequency ω=314 s−1\omega=314 \mathrm{~s}^{-1} is applied across the terminals of this circuit. At what value of the resistance RR will the maximum heat power be generated in the circuit? What is it equal to?

Reveal Answer
 For R=ωL−r=0.20kΩ;Pmax⁡=V22ωL=0.11 kW\text { For } R=\omega L-r=0.20 \mathrm{k} \Omega ; \quad P_{\max }=\frac{V^{2}}{2 \omega L}=0.11 \mathrm{~kW}
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