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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?

This question was previously asked in
RRB JE 2025 CBT 2 Mechanical and Allied Engg Question Paper English (2-Jul-2026) (Shift-1)
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. If a circuit load impedance is (25 - j25), find the power factor.
  2. Which of the following is NOT an advantage of power factor improvement using capacitor?

  3. The form factor in reference to alternating current wave form represents the ratio of

  4. The power factor of a circuit is equal to

  5. Which of the following is NOT responsible for poor power factor?

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