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A 1 Henry inductor is designed to limit current flow in a fluorescent tube, where AC...

A 1 Henry inductor is designed to limit current flow in a fluorescent tube, where AC power is supplied at 330V (peak) and 50 Hz . The total resistance of the wire in the coil is 200Ω. If we connect the inductor directly to English mains:

a. What is the inductive reactance of the coil? b. What is the impedance and peak current flowing through the coil? c. What is the phase difference between the mains current and the mains voltage in the circuit? Does the source voltage lag or lead the current? d. If we want to balance the inductive reactance with an equal and opposite capacitive reactance, how much capacitance do we need? What happens to the mains phase difference if we include this capacitor in series with the inductor?

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