The instantaneous values of alternating current and voltage in a circuit are given as

$$i = {1 \over {\sqrt 2 }}$$ sin (100 $$\pi $$t) ampere

$$e = {1 \over {\sqrt 2 }}\sin \left( {100\pi t + {\pi \over 3}} \right)$$ Volt

The average power in watts consumed in the circuit is

The current $$(I)$$ in the inductance is varying with time according to the plot shown in figure.


Which one of the following is the correct variation of voltage with time in the coil ?

In an electrical circuit R, L, C and a.c. voltage source are all connected in series. When L is removed from the circuit, the phase difference between the voltage and the current in the circuit is If instead, C is removed from the circuit, the phase difference is again. The power factor of the circuit is

A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be