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MHT CET202123 Sep 2021Morning ShiftPhysicsAlternating CurrentActual

In the circuit shown in the figure, a.c. source gives voltage V =20 (2000 t ) . Impedance and r.m.s current respectively will be

Options

  1. A10 , 2 ~A
  2. B5 , 2 ~A
  3. C15 , 2 2 3 ~A
  4. D5 , 1 ~A

Correct answer

C. 15 , 2 2 3 ~A

Step-by-step solution

aligned & V =20 2000 t =2000 rad / s & X _ L = L =2000 5 10⁻³=10 & X _ C = 1 C = 1 2000 50 10⁻⁶ =10 & X _ L = X _ C which gives resonance. & Z = R =10 +5 =15 aligned The peak current, I ₀= V ₀ R = 20 15 = 4 3 ~A R.M.S. current, I_ r m s = I₀ 2 = 2 2 3 ~A

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