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A generator is connected to a resistor and a 0.028-H inductor in series. The rms voltage...

A generator is connected to a resistor and a 0.028-H inductor in series. The rms voltage across the generator is 9.5 V. When the generator frequency is set to 110 Hz, the rms voltage across the inductor is 3.5 V. Determine the resistance of the resistor in this circuit.

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Answer #1

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Answer #2

w = Angular frequencr = 2*pi*f = 2*pi*110 = 691.15 rad/s

XL=Inductive reactance = w*L = 691.15*0.028 = 19.35 ohms

CurrentI=VL/ XL = 3.5/19.35 = 0.1808 amps

Impedance = Z = V/I = 9.5/0.1808= 52.54 ohms

Z =(R+XL)

Resistance of the resistor R = 52.54 - 19.35 = 33.19 ohms

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