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Question:

Frequency of an inductor. Why is my answer wrong?

A 16.0 mH inductor, with internal resistance of 20.0 ohms, is connected to a 110 V rms source. If the average power dissipated in the circuit is 40.0 W, what is the frequency? (Model the inductor as an ideal inductor in series with a resistor.) ____ HzI keep getting 467 Hz but this is incorrect and have no idea what I am doing wrong. I've tried doing it a bunch of different ways but keep getting lost somewhere along the way.Any suggestions on how to accomplish this problem?

Answer:

1 mH 10^(-3) H current power / voltage 40 W / 110 V 0.3636 Amps voltage Henries * current / time 110 V 1.6 * 10 ^ (-2) H * 0.3636 Amps / time Isolate time: time 1.6 * 10^(-2) H * 0.3636 Amps / 110 V 5.2887 * 10^(-5) seconds frequency inverse of time 1/(5.2887 * 10^(-5)) 18908 Hz I probably made a mistake in there somewhere. I don't remember how to factor in internal resistance or if that's even necessary for this problem.

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