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Question

A single-phase AC circuit contains a resistive inductive load. The current lags behind the voltage by an angle greater than 0° and less than 90°. What is the power factor of the circuit called?

The correct answer is

Lagging power factor

In an AC circuit the power factor is cos φ, where φ is the phase angle between the supply voltage and the current. The sign of that phase relationship — whether current lags or leads the voltage — is fixed by the nature of the load.

  • An inductor opposes any change in the current through it (it develops a back-EMF), so current cannot rise as quickly as the voltage. As a result the current reaches its peaks after the voltage does — it lags.
  • For a mixed resistive-inductive (RL) load the resistance keeps the two waveforms from being a full quarter-cycle apart, so the lag angle satisfies 0° < φ < 90°.
  • Because the current lags the voltage, the circuit is said to have a lagging power factor, which is the correct answer.

The other options describe different conditions. A leading power factor arises with a net capacitive load, where current leads the voltage — the opposite situation to the inductive load here. Unity power factor (cos φ = 1) means φ = 0°, i.e. a purely resistive circuit with voltage and current exactly in phase, which contradicts the stated non-zero lag. Zero power factor (cos φ = 0) requires φ = 90°, a purely reactive load, whereas the presence of resistance guarantees φ is less than 90° and the power factor is non-zero.

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Similar Questions

  1. Which strategy reduces electricity charges under a power factor tariff system for a manufacturing plant with predominantly inductive loads?


Important Questions from Power Factors

  1. For a certain load, the true power is 100 W and the reactive power is 100 VAR. What is the apparent power?

  2. What is the power factor of a alternating current circuit?

  3. If the kVAR of an electric circuit is equal to ‘ZERO’, then the operating power factor of the same circuit is equal to:

  4. The reactive power component kVAR =

  5. What is the active power consumed by a motor if the total power is 400 VA with 0.5 power factor?

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