From the impedance triangle of an R-L series circuit fed with single-phase voltage, what is the value of power factor of the circuit?
F2 Vinanti Engineering 11.10.23 D6

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UPSC ESE (Prelims) Electronics and Telecommunication Engineering 19 Feb 2023 Official Paper
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  1. (X/Z) lagging
  2. (R/X) lagging
  3. (R/Z) lagging
  4. (X/Z) leading

Answer (Detailed Solution Below)

Option 3 : (R/Z) lagging
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Detailed Solution

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Concept:

  • Power factor (PF) is the ratio of working power, measured in kilowatts (kW), to apparent power, measured in kilovolt amperes (kVA). 
  • The triangle that is created when adding the resistance to the reactance is known as an impedance triangle
  • ​The power factor has also been defined as the ratio between resistance and impedance

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Hence the power factor is Cos ϕ = \(R \over Z\)

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