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A 3-phase, 4-pole, 50Hz induction motor runs at a speed of 1440 rpm. The rotating field produced by the rotor rotates at a speed of ________ rpm with respect to the stator field.
  • a)
    1500
  • b)
    0
  • c)
    1440
  • d)
    60
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A 3-phase, 4-pole, 50Hz induction motor runs at a speed of 1440 rpm. T...
A 3-phase, 4-pole, 50Hz induction motor runs at a speed of 1440 rpm. The rotating field produced by the rotor rotates at a speed of 0 rpm with respect to the stator field.
In a three-phase induction motor, The stator is stationary, and the rotor is a rotating part. Both the stator field and rotor field rotate with synchronous speed. The rotor rotates with a speed less than synchronous speed
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Most Upvoted Answer
A 3-phase, 4-pole, 50Hz induction motor runs at a speed of 1440 rpm. T...
Given:
- Type of motor: 3-phase, 4-pole, 50Hz induction motor
- Motor speed: 1440 rpm

To Find:
- The speed at which the rotating field produced by the rotor rotates with respect to the stator field

Solution:
1. The synchronous speed of an induction motor is given by the formula:
Synchronous Speed = (120 * Frequency) / Number of Poles
Here, the frequency is 50Hz and the number of poles is 4.

2. Substituting the given values into the formula, we get:
Synchronous Speed = (120 * 50) / 4 = 1500 rpm

3. The synchronous speed represents the speed at which the rotating magnetic field produced by the stator rotates with respect to the stator itself.

4. However, in an induction motor, the rotor is not able to achieve this synchronous speed due to slip.

5. Slip is the difference between the synchronous speed and the actual rotor speed.

6. The formula for slip is given by:
Slip = (Synchronous Speed - Motor Speed) / Synchronous Speed

7. Substituting the given values into the formula, we get:
Slip = (1500 - 1440) / 1500 = 0.04

8. The rotating field produced by the rotor rotates at a speed equal to the slip times the synchronous speed.

9. Therefore, the speed at which the rotating field produced by the rotor rotates with respect to the stator field is:
Speed = Slip * Synchronous Speed = 0.04 * 1500 = 60 rpm

Answer:
The rotating field produced by the rotor rotates at a speed of 60 rpm with respect to the stator field. Therefore, the correct answer is option 'D' - 60.
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A 3-phase, 4-pole, 50Hz induction motor runs at a speed of 1440 rpm. The rotating field produced by the rotor rotates at a speed of ________ rpm with respect to the stator field.a)1500b)0c)1440d)60Correct answer is option 'B'. Can you explain this answer?
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