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ElectricalMachine
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In a capacitor, split single-phase induction motor · The phase displacement between the running and starting windings current is __________.

A

20°-30°

B

30°-40°

C

50°-70°

D

60°-80°

Correct Answer

⚙️ TE • Technical Concept & PrincipleElectricalMachine
Option D

60°-80°

Quick Summary:

In a capacitor-start single-phase induction motor, the phase displacement between the starting winding current (IsI_sIs​) and the running winding current (ImI_mIm​) is typically between 60° and 80°. This displacement is necessary to create a rotating magnetic field, which provides the starting torque required for the motor.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

In a capacitor-start single-phase induction motor, the phase displacement between the starting winding current (IsI_sIs​) and the running winding current (ImI_mIm​) is typically between 60° and 80°. This displacement is necessary to create a rotating magnetic field, which provides the starting torque required for the motor.

🔢 Key Formulas

θ=ϕm−ϕs\theta = \phi_m - \phi_sθ=ϕm​−ϕs​ — where θ\thetaθ is the phase displacement angle between main and auxiliary currents

⚙️ Working Principle

The running winding is highly inductive, causing its current to lag the supply voltage significantly · By connecting a capacitor in series with the starting winding, the current in the starting branch is made more leading or less lagging, resulting in a large phase difference between the two currents · This phase difference produces the elliptically rotating magnetic field that exerts torque on the rotor.

📌 Key Points
  • ▸

    Single-phase motors are not self-starting due to the pulsating nature of the magnetic field.

  • ▸

    A phase-splitting device like a capacitor is required to achieve a phase difference.

  • ▸

    The torque developed is proportional to sin⁡(θ)\sin(\theta)sin(θ), where θ\thetaθ is the angle between winding currents.

✅ Advantages
  • ▸

    Provides high starting torque

  • ▸

    Improved power factor during starting

❌ Disadvantages / Limitations
  • ▸

    Capacitors are bulky and expensive

  • ▸

    Requires centrifugal switch for disconnection in capacitor-start types

🛠️ Applications / Uses
  • ▸

    Compressors and Refrigerators

  • ▸

    Pumps and industrial fans

📄 Additional Information
  • ▸

    Resistive phase-splitting (split-phase motor) provides much lower displacement, usually 20°-30°.

  • ▸

    Higher displacement angles closer to 90° provide maximum torque, which is why capacitor-start motors are preferred for high-load applications.

📊 Diagram / Illustration
Phasor RelationshipImIsθ ≈ 70°
✅

D is correct — The capacitor forces a large phase angle (60°-80°) between winding currents, which is essential for producing the starting torque.

Core Concepts Used
Click any tag to open in AI Tutor
Rotating Magnetic Field (RMF) Phase Splitting Capacitive Reactance
💡 EXAM TIP

Always remember that in AC machines, torque production is maximized when the phase angle between the two magnetic flux components is exactly 90°.

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