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MHT CET202415 May 2024Evening ShiftPhysicsCapacitanceActual

A resistor of 50 , inductor of self inductance ( 3 ^2 ) H and a capacitor of unknown capacity are connected in series to an a.c. source of 100 V and 50 Hz . When the voltage and current are in phase, the value of capacitance is (nearly)

Options

  1. A0.66 10⁻⁴ ~F
  2. B0.33 10⁻⁴ ~F
  3. C0.66 10⁻² ~F
  4. D0.33 10⁻² ~F

Correct answer

B. 0.33 10⁻⁴ ~F

Step-by-step solution

Given: L = 3 ^2 H and f =50 ~Hz As voltage and current are in phase, the circuit is a resonant circuit. aligned & X _ C = X _ L & 1 C = L & C = 1 ^2 ~L = 1 4 ^2 f ^2 ~L &= 1 4 ^2 (50)^2 3 ^2 =0.33 10⁻⁴ ~F aligned

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