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ElectricalMachine
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If load angle of 4 pole synchronous motor is 8o electrical its value in mechanical degree is

A

2

B

4

C

8

D

16

Correct Answer

⚙️ TE • Technical Concept & PrincipleElectricalMachine
Option B

4

Quick Summary:

The load angle of a synchronous motor is given as 8° electrical · In a 4 pole motor, the relationship between electrical and mechanical degrees is determined by the equation: θ\thetaθ_m =θeP/2\frac{\theta_e}{P/2}P/2θe​​, where θ\thetaθ_m is the mechanical angle, θ\thetaθ_e is the electrical angle, and P is the number of poles · Therefore, the mechanical angle becomes θ\thetaθ_m =8°×24\frac{8° \times 2}{4}48°×2​ = 4°.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

The load angle of a synchronous motor is given as 8° electrical · In a 4 pole motor, the relationship between electrical and mechanical degrees is determined by the equation: θ\thetaθ_m =θeP/2\frac{\theta_e}{P/2}P/2θe​​, where θ\thetaθ_m is the mechanical angle, θ\thetaθ_e is the electrical angle, and P is the number of poles · Therefore, the mechanical angle becomes θ\thetaθ_m =8°×24\frac{8° \times 2}{4}48°×2​ = 4°.

🔢 Key Formulas

θm=θe×2P\theta_m = \frac{\theta_e \times 2}{P}θm​=Pθe​×2​ — Mechanical angle from electrical angle

θm=8°×24=4°\theta_m = \frac{8° \times 2}{4} = 4°θm​=48°×2​=4° — Specific calculation for this problem

⚙️ Working Principle

Synchronous motors operate based on the interaction between magnetic fields of the stator and rotor · The load angle is crucial for understanding the torque production and stability of the motor · The conversion from electrical degrees to mechanical degrees accounts for the number of poles, as a 4 pole motor has segments that repeat every 90° electrical, resulting in a direct conversion factor of P/2.

📌 Key Points
  • ▸

    The load angle is critical for the performance of synchronous motors.

  • ▸

    Electrical and mechanical angles relate through the number of motor poles.

✅ Advantages
  • ▸

    High efficiency under synchronous speed

  • ▸

    Constant speed operation regardless of load

❌ Disadvantages / Limitations
  • ▸

    Requires external source for field excitation

  • ▸

    Not suitable for variable speed applications

🛠️ Applications / Uses
  • ▸

    Generators in power plants

  • ▸

    Industrial drives requiring constant speed

📄 Additional Information
  • ▸

    The load angle directly affects the stability and torque of the synchronous motor.

  • ▸

    For a 4 pole motor, the relationship simplifies the electrical to mechanical degree conversion.

📊 Diagram / Illustration
Mechanical Angle Calculationθₘ = [θₑ ×2] / Pθₘ = [8° × 2] / 4 =4°
✅

B is correct — The mechanical degree is accurately calculated as 4°.

Core Concepts Used
Click any tag to open in AI Tutor
Synchronous motor operation Pole to angle conversion Torque and stability
💡 EXAM TIP

Understand the fundamental relationships between electrical and mechanical quantities to simplify many electrical engineering problems.

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