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JEE Main202118 Mar 2021Evening ShiftPhysicsAlternating CurrentActual

In a series LCR circuit, the inductive reactance X L is 10 Ω and the capacitive reactance X C is 4 Ω . The resistance ( R ) in the circuit is 6 Ω . The power factor of the circuit is :

Options

  1. A1 2
  2. B1 2 2
  3. C1 2
  4. D3 2

Correct answer

C. 1 2

Step-by-step solution

We know that power factor is cos ϕ , cos ϕ = R Z       . . . 1 Z = R 2 + X L - X C 2       . . . 2 ⇒ Z = 6 2 + ( 10 - 4 ) 2 ⇒ Z = 6 2 ∣ cos ϕ = 6 6 2 cos ϕ = 1 2

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