$A$ sinusoidal alternating current of peak value $I_0$ passes through a heater of resistance $R$. What is the mean power output of the heater?

Define average power (true power) in an $AC$ circuit.

Current in the circuit is wattless, if

For the series $LCR$ circuit connected with a $220 \ V$, $50 \ Hz$ a.c. source as shown in the figure, the power factor is $\frac{\alpha}{10}$. The value of $\alpha$ is . . . . . .

In an $A.C.$ circuit,the current flowing in an inductance is $I = 5\,\sin\,(100\,t - \pi/2)\,A$ and the potential difference is $V = 200\,\sin\,(100\,t)\,V$. The power consumption is equal to......$W$.

When a voltage $V_{s} = 200 \sqrt{2} \sin(\omega t + 15^{\circ})$ is applied to an $AC$ circuit,the current in the circuit is found to be $I = 2 \sin(\omega t + 45^{\circ})$. The average power consumed in the circuit is: