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JEE Advanced2012PhysicsAlternating CurrentActual

In the given circuit, the AC source has =100 rad / s . Considering the inductor and capacitor to be ideal, the correct choice(s) is (are)

Options

  1. AThe current through the circuit, I is 0.3 ~A .
  2. BThe current through the circuit, I is 0.3 2 A
  3. CThe voltage across 100 resistor =10 2 ~V
  4. DThe voltage across 50 resistor =10 ~V

Correct answer

A. The current through the circuit, I is 0.3 ~A .

Step-by-step solution

Impedance across A B, R C part of the circuit aligned Z ₁=& X_ c ²+R₁² = ( 1 C )²+R₁² =& (100)²+(100)² =100 2 aligned I₁= V Z₁ = 20 100 2 [ . leads emf by . ₁ ] where ₁= R Z₁ = 100 100 2 = 1 2 =45^ Impedance across C D, L R part of the circuit. Z ₂= X_ L ²+R₂² = ( L)²+R₂² = (0.5 100)²+(50)² =50 2 I₂= V Z₂ = 20 50 2 where ₂= R Z₂ = 50 50 2 = 1 2 ₂=45^ Current I from the circuit I= 20 100 2 + 20 50 2 = I ₁+ I ₂ 0.3 ~A

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