Q. In an AC circuit, the instantaneous values of emf and current are $e = 200\sin{314t}$ volt and $I = \sin\left( 314t + \frac{\pi}{3} \right)\ $amp$.$ The average power consumed in watt is
A) 200
B) 100
C) 50
D) 25
Explanation
(c) $V_{rms} = \frac{200}{\sqrt{2}},\ I_{rms} = \frac{1}{\sqrt{2}}$
$\therefore\ \ \ \ \ P = V_{rms}I_{rms}\cos{\phi =}\frac{200}{\sqrt{2}}\frac{1}{\sqrt{2}}\cos\frac{\pi}{3} = 50W$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.