Finding Inductance in an AC RLC Circuit?

Posted on 2016-04-19 18:48:00 in Engineering by JOYO

"In the laboratory you find an inductor of unknown inductance L and unknown internal resistance R. Using a dc ohmmeter, an ac voltmeter of high impedance, a 1 microfarad capacitor, and a 1000 Hz signal generator, determine L and R as follows. According to the ohmmeter, R is 35 ohms. You connect the capacitor in series with the inductor and the signal generator. The voltage cross both is 10.1 volts. The voltage across the capacitor alone is 15.5 volts. You not also, as a check, that the voltage across the inductor alone is 25.4 volts. How large is L? Is the check consistent?" 

I easily find the current running through the circuit and I figured to get the voltage drops I would just multiply the current by the element's respective impedance and then set it equal to the given voltages. But my check isn't consistent. 

Any ideas?

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