[Solved] The power factor of a purely resistive circuit is _____ (2024)

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VSSC (ISRO) Technician B (Electronic Mechanic) 2012 Official Paper (Held on 22 Dec 2012)

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  1. Zero
  2. Lagging
  3. Leading
  4. Unity

Answer (Detailed Solution Below)

Option 4 : Unity

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Detailed Solution

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  • The overall power factor is defined as the cosine of the angle between thephase voltageandphase current.
  • In AC circuits, the power factor is also defined as the ratio of the real power flowing to the load to the apparent power in the circuit.
  • Hence power factor can be defined as watts to volt-amperes.

Power factor = cos ϕ

ϕ is the angle between the voltage and the current.

  • For a purely resistive circuit, the angle between the voltage and current is 0°

So power factor for a purely resistive circuit is:

P.F. = cos 0°

P.F. = 1 (unity)

Important Points:

  • In a purely inductive circuit, the current lags the voltage by 90° and the power factor is zero lagging
  • In a purely capacitive circuit, the current leads the voltage by 90° and the power factor is zero leading
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Q2.An RLC series circuit has R =2 Ω, C = 20 μF and the inductance is adjusted such that the voltage across the resistance is maximum. If the applied voltage is 10 V at a frequency of 1000 rad/sec, then find the value of inductance L.

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[Solved] The power factor of a purely resistive circuit is _____ (2024)
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