Question

In a series $LCR$ circuit $K=200\Omega$ and the voltage and frequency of the main supply are $220V$ and $50Hz$ respectively. On taking out the capacitor from the circuit, the current leads the voltage by ${30}^o$. On taking out the indicator from the circuit the current leads the voltage by ${30}^o$. The power dissipated in the $LCR$ circuit is :

• A. $342W$
• B. $305W$
• C. $209W$
• D. $242W$
  

Answer 1

The correct option is C $209W$

$P=\frac{V_{rms}^2}{R}cos\varphi =\frac{{220}^2}{200}cos30°=209W$