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ElectricalMachine
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The angle between the main winding and auxiliary winding is around ____________ in Capacitor split-phase motor.

A

A) 10-20 degrees

B

B) 30-40 degrees

C

C) 70-90 degrees

D

D) 20 degrees

Correct Answer

⚙️ TE • Technical Concept & PrincipleElectricalMachine
Option C

70-90 degrees

Quick Summary:

In a capacitor split-phase induction motor, the angle between the main winding current and auxiliary winding current is around 70 to 90 degrees. The addition of a series capacitor in the auxiliary winding creates a large phase displacement (approaching 90°) between the currents flowing in the two windings. This phase shift produces a rotating magnetic field, which develops the necessary starting torque.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

In a capacitor split-phase induction motor, the angle between the main winding current and auxiliary winding current is around 70 to 90 degrees. The addition of a series capacitor in the auxiliary winding creates a large phase displacement (approaching 90°) between the currents flowing in the two windings. This phase shift produces a rotating magnetic field, which develops the necessary starting torque.

🔢 Key Formulas

α=θa+θm≈90°\alpha = \theta_a + \theta_m \approx 90°α=θa​+θm​≈90° — Phase angle difference between auxiliary (IaI_aIa​) and main (ImI_mIm​) winding currents

Ts∝ImIasin⁡αT_s \propto I_m I_a \sin\alphaTs​∝Im​Ia​sinα — Starting torque proportional to the sine of the phase angle α\alphaα

⚙️ Working Principle

A single-phase supply creates an alternating magnetic field that cannot produce a starting torque on its own. By connecting an auxiliary winding in series with a capacitor parallel to the main winding, the current in the auxiliary winding leads the supply voltage while the main winding current lags it. This results in two spatial and temporal phase-displaced currents (ImI_mIm​ and IaI_aIa​), creating a forward-rotating magnetic field according to double-revolving field theory.

📌 Key Points
  • ▸

    The capacitor causes the auxiliary winding current IaI_aIa​ to lead the supply voltage VVV.

  • ▸

    The main winding is highly inductive, causing its current ImI_mIm​ to lag the supply voltage VVV.

  • ▸

    Because sin⁡90°=1\sin 90°= 1sin90°=1, a phase difference near 90°90°90° maximizes the starting torque per unit current.

✅ Advantages
  • ▸

    Higher starting torque compared to resistance split-phase motors

  • ▸

    Higher power factor during starting phase

  • ▸

    Lower starting current for the same developed torque

❌ Disadvantages / Limitations
  • ▸

    Higher initial cost due to the requirement of a capacitor

  • ▸

    Requires a centrifugal switch to disconnect the auxiliary winding after reaching ~75% speed (in capacitor-start motors)

🛠️ Applications / Uses
  • ▸

    Compressors and Refrigerators

  • ▸

    Pumps and Conveyors

  • ▸

    Air conditioners and heavy-duty blowers

🔄 Comparison Table
FeatureResistance Split-PhaseCapacitor Split-Phase

Phase Shift Angle (α)

30° to 40°

70° to 90°

Starting Torque

Moderate (1.5 to 2 times rated)

High (3 to 4.5 times rated)

Auxiliary Circuit Component

High Resistance Winding

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📄 Additional Information
  • ▸

    Option A (10-20 degrees) is too low for effective starting torque in split-phase motors.

  • ▸

    Option B (30-40 degrees) corresponds to a standard resistance split-phase induction motor.

  • ▸

    Option D (20 degrees) is insufficient to create a near-circular rotating magnetic field.

📊 Diagram / Illustration
Capacitor Motor Phasor DiagramV (Supply Voltage)Im (Main Winding Current)Ia (Auxiliary Winding Current)θmθaα ≈ 70° - 90°
✅

C is correct — A capacitor-start/split-phase motor uses a capacitor in the auxiliary winding to create a phase displacement of nearly 90 degrees (typically 70-90 degrees) relative to the main winding current.

Core Concepts Used
Click any tag to open in AI Tutor
Single-Phase Induction Motor Phase Split Principle Rotating Magnetic Field
💡 EXAM TIP

Remember: Ts∝sin⁡αT_s \propto \sin\alphaTs​∝sinα. Resistance split-phase gives α≈30°−40°\alpha \approx 30°- 40°α≈30°−40°, whereas capacitor split-phase increases α\alphaα up to 90°90°90°, producing maximum starting torque.

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