1. You build an LRC series circuit using a 3.00 V AC source (and variable frequency), a 10.0 Ω resistor, a 10.0 µF capacitor, and a coil of unknown inductance. You adjust the frequency of the source until the circuit is in resonance, and find that the resonant frequency is 100.0 Hz. What is the inductance of the coil? Show all work.
2. You take the same circuit as in Question 1, and adjust the frequency of the source to 50.0 Hz. Does the source voltage lead the current, lag the current, or is it exactly in time with the current? Clearly explain how you arrived at your answer.
3. You take the same circuit as in Question 2, (with the frequency of the source still at 50.0 Hz). Calculate the impedance of the circuit.
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