Q. When a voltage $V _{ s }=200 \sqrt{2} \sin \left(\omega t +15^{\circ}\right)$ is applied to an $AC$ circuit the current in the circuit is found to be $i =2 \sin \left(\omega t +\frac{\pi}{4}\right)$ then average power consumed in the circuit is :-

Solution:

Correct answer is (c) $100 \sqrt{6} $ watt