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JEE Main2010PhysicsAlternating CurrentActual

In a series LCR circuit R=200 and the voltage and the frequency of the main supply is 220 ~V and 50 ~Hz respectively. On taking out the capacitance from the circuit the current lags behind the voltage by 30^ . On taking out the inductor from the circuit the current leads the voltage by 30^ . The power dissipated in the LCR circuit is

Options

  1. A305 ~W
  2. B210 ~W
  3. CZero W
  4. D242 ~W

Correct answer

D. 242 ~W

Step-by-step solution

The given circuit is under resonance as X_L=X_C Hence power dissipated in the circuit is P = V ^2 R =242 ~W

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