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Electric Potential and Potential Difference

In an LCR ser...

Question

In an LCR series circuit, R = 200Ω and the voltage and frequency of the main supply is 220V and 50 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 circuit is

A

305 W

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B

210 W

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C

zero

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D

242 W

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Solution

The correct option is D
242 W

$A s ϕ = 30^{\circ} i s s a m e, X_{L} = X_{C} ∴ P = \frac{V^{2}}{R} = 242 W$

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