Question

An $AC$ source of emf $E=200\sin \left[100t\right]V$ is connected to a choke coil of inductance $1H$ and resistance $100\Omega$. Find the average power consumed.

• A. $400W$
• B. $200W$
• C. $100W$
• D. given information is insufficient

Answer 1

The correct option is C $100W$

Inductive Reactance $X_L=\omega L=100\times 1=100\Omega$
Resistance $=R=100\Omega$
$Z$ = impedance $=\sqrt{R^2+X_L^2}=100\sqrt{2}\Omega$

$\therefore$ current, $I=\frac{V_{rms}}{Z}=\frac{\frac{200}{\sqrt{2}}}{100\sqrt{2}}=1A(\because V_{rms}=\frac{200}{\sqrt{2}})$

Average power consumed
$\Rightarrow$ $P=I^{2}R=100W$