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(a) Prove that the current flowing throu...

(a) Prove that the current flowing through an ideal inductor connected across a.c. source, lags the voltage in phase by `pi/2`.
(b) An inductor of self inductance 100 mH, and a bulb are connected in series with a.c. sources of rms voltage 10 V, 50 z. It is found that effective voltage of the circuit leads the current in phase by `pi/4`.
Calculate the inductance of the inductor used and average power dissipated in the circuit, if a current of 1 A flows in the circuit.

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