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MHT CET202120 Sep 2021Morning ShiftPhysicsAlternating CurrentActual

A series LCR circuit with resistance R=500 ohm is connected to an a.c. source of 250 ~V . When only the capacitance is removed, the current lags behind the voltage by 60^ . When only the inductance is removed, the current leads the voltage by 60^ . The impedance of the circuit is

Options

  1. A500 3
  2. B500 3
  3. C250
  4. D500

Correct answer

D. 500

Step-by-step solution

When capacitance is removed aligned & = 60^ = X_L R & X_L R = 3 or X_L=R 3 aligned When inductance is removed, aligned & X_C R = 60^ = 3 & X_C=R 3 & X_C=X_L aligned Impedance, Z = R ^2+ ( X _ L = X _ C )^2 = R =500

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