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NEET2016PhysicsAlternating CurrentActual

An L-C-R series circuit with a resistance of 100 is connected to 200 V (AC source) and angular frequency 300 rad / s . When only the capacitor is removed, then the current lags behind the voltage by 60^ . When only the inductor is removed the current leads the voltage by 60^ . The average power dissipated in original L-C-R circuit is

Options

  1. A50 W
  2. B100 W
  3. C200 W
  4. D400 W

Correct answer

D. 400 W

Step-by-step solution

Given, R=100 , V=200 ~V , =60^ , =300 rad / s Phase angle, = X_L R = X_C R 60^ = X_L R = X_C R X_L=X_C= 3 R i.e. Z= R^2+( 3 R- 3 R)^2 =R So average power, P= V^2 R = 200 200 100 =400 ~W

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