A generator is connected to a resistor and a 0.047-H inductor in series. The rms voltage across the generator is 8.7 V. When the generator frequency is set to 160 Hz, the rms voltage across the inductor is 1.8 V. Determine the resistance of the resistor in this circuit.
The reactance of the inductor 2πf*L 2π*160*0.047 47.24Ω So the current through the inductor V/XC 1.8/47.24 0.0381A We have V (generator) sqrt(Vr^2 + VL^2) Vr sqrt(V^2 - vL^2) sqrt(8.7^2 - 1.8^2) 8.51V So R V/I 8.51/0.0381 223Ω
