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NEET 2016
Exam
NEET
Year
2016
Subject
Physics
Chapter
Alternating Current

NEET 2016 · Physics · Alternating Current

The potential differences across the resistance, capacitance, and...

The potential differences across the resistance, capacitance, and inductance are 80V,40V80V, 40V and 100V100V, respectively in an LCR circuit. The power factor of this circuit is

Options

  1. A0.40 . 4
  2. B0.50 . 5
  3. C0.80 . 8
  4. D1.01 . 0

Correct answer

C. 0.80 . 8

Step-by-step solution

Pac=VrmsIrmscos⁡(ϕ){P}_{ac} = {V}_{rms}{I}_{rms}\cos \left(ϕ\right),

where, cos⁡(ϕ)\cos \left(ϕ\right) is the power factor.

cosϕ=Rz=VRV=80802+(100−40)2cosϕ = \dfrac{R}{z} = \dfrac{{V}_{R}}{V} = \dfrac{80}{\sqrt{{80}^{2} + {\left(100 - 40\right)}^{2}}}

=80100=0.8= \dfrac{80}{100} = 0.8.

where, ZZ is the impedence of the circuit.

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