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COMEDK2024Evening ShiftPhysicsAlternating CurrentActual

In the A. C. circuit given below, an inductor, capacitor, and resistor ( R = 110 ) are in series with a 220 V , 50 Hz source. Voltmeters V₁ (across the inductor) and V₂ (across the capacitor) read 100 V each. Find the reading of the voltmeter V₃ (across the resistor) and the ammeter A.

Options

  1. A110 V, 2 A
  2. B220 V, 1 A
  3. C220 V, 2 A
  4. D110 V, 4 A

Correct answer

C. 220 V, 2 A

Step-by-step solution

V_L = V_C = 100 V, so they cancel (circuit is at resonance). V = V_R^2 + (V_L - V_C)^2 = V_R^2 + 0 220 = V_R V₃ = 220 V At resonance, Z = R = 110 I = V_R R = 220 110 = 2 A

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