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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalMachine
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The single-phase induction motor is alway operate at ______________ power factor.

A

Lagging

B

Leading

C

Unity

D

90 degree lagging

Correct Answer

Concept & PrincipleElectricalMachine
Option A

Lagging

Quick Summary: A single-phase induction motor always operates at a lagging power factor because it is an inductive load. The presence of stator windings, which are essentially inductors, results in a phase lag between the applied voltage and the current drawn by the motor.

💡 Explanation

A single-phase induction motor always operates at a lagging power factor because it is an inductive load. The presence of stator windings, which are essentially inductors, results in a phase lag between the applied voltage and the current drawn by the motor.

🔢 Key Formulas

PF=cos⁡(ϕ)PF = \cos(\phi)PF=cos(ϕ) — Definition of power factor

Z=R+jXLZ = R + jX_LZ=R+jXL​ — Impedance of the inductive winding where XL=2πfLX_L = 2\pi fLXL​=2πfL

⚙️ Working Principle

The motor draws magnetizing current to create the rotating magnetic field necessary for torque production. This magnetizing current is inductive in nature, meaning it lags the supply voltage by nearly 90°. Since the stator coil possesses both resistance and significant inductive reactance, the net current vector always lags the terminal voltage vector, resulting in a lagging power factor that is typically low, especially at light loads.

📌 Key Points
  • ▸

    Induction motors consume reactive power to sustain their magnetic fields.

  • ▸

    The power factor is lowest at no-load conditions due to the dominance of magnetizing current.

  • ▸

    Inductive reactance (XLX_LXL​) causes current (III) to lag voltage (VVV).

  • ▸

    Capacitors are often used in parallel with these motors to improve (increase) the lagging power factor.

✅ Advantages
  • ▸

    Simple and robust construction

  • ▸

    Lower maintenance requirements

❌ Disadvantages / Limitations
  • ▸

    Inherently low power factor

  • ▸

    Requires auxiliary winding for starting

🛠️ Applications / Uses
  • ▸

    Domestic appliances like fans and washing machines

  • ▸

    Small pumps and compressors

📄 Additional Information
  • ▸

    The power factor of a single-phase induction motor is typically in the range of 0.6 to 0.8 lagging under full-load conditions.

  • ▸

    Option B (Leading) is incorrect because the motor does not contain capacitive elements that could cause a leading phase shift.

  • ▸

    Option C (Unity) is only possible if the motor is operated in a specific configuration with heavy shunt capacitance, which is not the default case.

📊 Diagram / Illustration
Power Factor TriangleApparent Power (S)Real Power (P)φ
✅

A is correct — Single-phase induction motors are inherently inductive loads, which forces the current to lag behind the voltage.

Core Concepts Used
Click any tag to open in AI Tutor
Inductive reactance Magnetizing current Phase displacement
💡 EXAM TIP

Always remember: whenever you see 'Induction' in a motor or transformer name, expect a lagging power factor due to the excitation current requirement.

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