In a series LCR circuit $R=200 \Omega$ and the voltage and the frequency of the main supply is $220…
In a series LCR circuit $R=200 \Omega$ and the voltage and the frequency of the main supply is $220 \mathrm{~V}$ and $50 \mathrm{~Hz}$ respectively. On taking out the capacitance from the circuit the current lags behind the voltage by $30^{\circ}$. On taking out the inductor from the circuit the current leads the voltage by $30^{\circ}$. The power dissipated in the LCR circuit is
$305 \mathrm{~W}$
$210 \mathrm{~W}$
Zero W
$242 \mathrm{~W}$
Solution
The given circuit is under resonance as $X_L=X_C$ Hence power dissipated in the circuit is
$
\mathrm{P}=\frac{\mathrm{V}^2}{\mathrm{R}}=242 \mathrm{~W}
$