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A synchronous motor with negligible armature resistance at a load angle of 20° at rated frequency. If supply frequency is increased by 10% keeping other parameters constant the new load angle will be?

  • a)
    10°

  • b)
    25°

  • c)
    30°

  • d)
    20°

Correct answer is option 'D'. Can you explain this answer?
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A synchronous motor with negligible armature resistance at a load angle of 20 degrees means that the armature resistance is so small that it can be ignored in calculations. The load angle refers to the angular difference between the rotor and stator magnetic fields in the motor.

In a synchronous motor, the rotor rotates at the same speed as the rotating magnetic field produced by the stator. The load angle represents the deviation of the rotor position from the stator magnetic field position.

At a load angle of 20 degrees, the rotor is lagging behind the stator magnetic field by 20 degrees. This means that the rotor is rotating slightly slower than the stator magnetic field.

The negligible armature resistance means that the voltage drop across the armature resistance is very small compared to the voltage drop across other components in the motor. This simplifies the analysis and calculations for the motor's operation.

Overall, a synchronous motor with negligible armature resistance at a load angle of 20 degrees would have a slightly slower rotor speed compared to the stator magnetic field, and the armature resistance can be ignored in calculations.
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