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

The r.m.s. value of potential difference V shown in the figure is