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Question:

A resistor and inductor connected to an AC power source?

A circuit is composed of a 35.0 ohm resistor and a 0.250 Henry inductor in series, powered by an AC source with frequency of 30.0 Hz. The resulting peak current is 0.100 A. a) What is the peak voltage of the resistor?b) What is the peak voltage of the inductor?c) What is the peak voltage of the power source?Please explain how to solve this to me, Thanks!!

Answer:

a) Resistor peak voltage is VRp Ip * R 0.1A * 35 ohm 3.5 V b) Inductor reactance at f 30Hz is XL 2pi*30Hz*0.25H 47.1 ohm Inductor peak voltage is VLp Ip * XL 0.1A * 47.1 ohm 4.71 V c) Total series circuit impedance is Z sqrt(R^2 + XL^2) 58.7 ohm Source peak voltage is Vp Ip * Z 0.1A * 58.7 ohm 5.87 V

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