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# Prove the following

Question:

In a series $\mathrm{LCR}$ circuit $\mathrm{R}=200 \Omega$ 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 lages 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 :

1. $242 \mathrm{~W}$

2. $305 \mathrm{~W}$

3. $210 \mathrm{~W}$

4. Zero W

Correct Option: 1

Solution: