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Question:

A 4.40 mH inductor has an rms voltage of 24.9 V across it at a frequency of 230. Hz. What is the rms current i?

A 4.40 mH inductor has an rms voltage of 24.9 V across it at a frequency of 230.I just can't find a formula that relates these things, yet my homework is asking it. WTF!!? help random internet people.

Answer:

The peak current is when the voltage is at it's peak divided by the reactance. The peak sinusodial voltage is 29.4V * SQRT (2) 29.4V * 1.414 41.5779 V (peak) The inductive reactance is 2 * pi * Freq * L 2 * 3.1415 * 230 * 4.4 * 10E-3 6.3586 ohms Using ohms law V / R I ; 41.5779 V / 6.3586 ohms 6.5389 Amps (peak) To find the RMS voltage multiply by the square root of 2 divided by 2 or 0.707 So 6.5389 Amps * 0.707 4.6237 Amps This is also the RMS Voltage divided by the inductive reactance ! :-b

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