Question

A choke coil of $100ohm$ and $1H$ is connected to a generator of $E=200\sin (100t$ ) volt. The average power dissipated will be ?

Answer 1

Answer: 100.00

$E=200\sin (100t)$
$R=100\Omega ,L=1H$
$Z=\sqrt{R^2+(\omega L{)}^2}$
$Z=\sqrt{100^2+(100\times 1{)}^2}=100\sqrt{2}$
$I_{\text{runs }}=\frac{200}{\sqrt{2}}\times \frac{1}{100\sqrt{2}}$
$I_{\text{runs }}=1A$
cos $\varphi =\frac{R}{Z}=\frac{100}{100\sqrt{2}}=\frac{1}{\sqrt{2}}$
Power $=E_{\text{rms }}{I}_{rms}\cos \varphi .$
$=\frac{200}{\sqrt{2}}\times 1\times \frac{1}{\sqrt{2}}=100$ watt