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MHT CET202613 April 2026Morning ShiftPhysicsAlternating CurrentActual

In series LCR resonant circuit, R=800 , C = 2 F and voltage across resistance is 200 V. The angular frequency is 250 rad/s. At resonance the voltage across the capacitance is

Options

  1. A250 V
  2. B500 V
  3. C1000 V
  4. D750 V

Correct answer

B. 500 V

Step-by-step solution

At resonance, the current in the circuit is determined by the resistance and the voltage across it. I = V_R R Substituting the given values: I = 200 800 = 0.25 A The capacitive reactance is given by: X_C = 1 C Substituting the given values: X_C = 1 250 2 10⁻⁶ = 10^6 500 = 2000 , The voltage across the capacitance is: V_C = I X_C V_C = 0.25 2000 = 500 V Answer: 500 V

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