In a series LCR circuit, the inductive reactance X L is 10   Ω and the capacitive reactance X C is…

In a series LCR circuit, the inductive reactance XL is 10 Ω and the capacitive reactance XC is 4 Ω. The resistance (R) in the circuit is 6 Ω. The power factor of the circuit is :
  1. 12
  2. 122
  3. 12
  4. 32

Solution

We know that power factor is cosϕ,

cosϕ=RZ   ...1

Z=R2+XL-XC2   ...2

⇒Z=62+(10-4)2

⇒Z=62∣cosϕ=662

cosϕ=12

Asked in: JEE Main 2021 (18 Mar Shift 2)

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