Question

Voltage applied to an $AC$ circuit and current flowing in it is given by
$V=200\sqrt{2}\sin \left(\omega t+\frac{\pi }{4}\right)$ and $i=-\sqrt{2}\cos \left(\omega t+\frac{\pi }{4}\right)$
The power consumed in the circuit will be

• A. $200W$
• B. $400W$
• C. $200\sqrt{2}W$
• D. None of these

Answer 1

The correct option is D None of these

$i=\sqrt{2}\sin [\omega t+\frac{\pi }{4}+\frac{\pi }{2}]$
Hence phase difference between $V$ and $i$ is $\frac{\pi }{2}$. so, power consumed $=0$.