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If load angle of 4 pole synchronous motor is 8o electrical its value in mechanical degree is
2
4
8
16
4
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_m = P/2θe,where θ_m is the mechanical angle, θ_e is the electrical angle, and P is the number of poles. Therefore, the mechanical angle becomes θ_m = 48°×2=4°.
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_m = P/2θe,where θ_m is the mechanical angle, θ_e is the electrical angle, and P is the number of poles. Therefore, the mechanical angle becomes θ_m = 48°×2=4°.
θm=Pθe×2 — Mechanical angle from electrical angle
θm=48°×2=4° — Specific calculation for this problem
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.
The load angle is critical for the performance of synchronous motors.
Electrical and mechanical angles relate through the number of motor poles.
High efficiency under synchronous speed
Constant speed operation regardless of load
Requires external source for field excitation
Not suitable for variable speed applications
Generators in power plants
Industrial drives requiring constant speed
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.
B is correct — The mechanical degree is accurately calculated as 4°.
Understand the fundamental relationships between electrical and mechanical quantities to simplify many electrical engineering problems.