If the voltage and current in an ac circuit are respectively $50 \sin (50 t) \text{ V}$ and $50 \sin (50 t + \frac{\pi}{4}) \text{ mA}$,then the power dissipated in the circuit is nearly (in $W$)

In an $A.C.$ circuit containing $L$, $C$ and $R$ in series, the ratio of apparent power to the true power is ($Z=$ impedance of the circuit and $R=$ resistance).

The instantaneous values of alternating current and voltage in a circuit are given as $I = \frac{1}{\sqrt{2}} \sin(100\pi t)$ and $E = \frac{1}{\sqrt{2}} \sin(100\pi t + \frac{\pi}{3})$. The average power in watts consumed in the circuit is:

Define the power for $AC$ circuit. Obtain an equation of average power for $L-C-R$ series $AC$ circuit.

$A$ circuit,consisting of an inductance and a resistance in series,is connected to a $250 \ V$ $A$.$C$. supply. It draws a current of $10 \ A$. If the power consumed in the circuit is $1500 \ W$,calculate the wattless current. (in $A$)

If the power factor in an $AC$ circuit changes from $\frac{1}{3}$ to $\frac{1}{9}$,then by what percent will the reactance change (approximately),if the resistance remains constant?