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The frequency of the induced emf in an induction motor is
- a)Greater than the supply frequency
- b)Lesser than the supply frequency
- c)Same as the supply frequency
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The frequency of the induced emf in an induction motor isa)Greater tha...
Explanation:
In an induction motor, the frequency of the induced emf is always lower than the supply frequency. This is due to the phenomenon of slip in an induction motor.
Slip:
Slip is defined as the difference between the synchronous speed of the rotating magnetic field and the actual speed of the rotor. It is denoted by the symbol 's' and is expressed as a percentage.
Induced EMF:
The induced emf in the rotor windings is directly proportional to the slip. As the rotor speed decreases, the slip increases, and thus the induced emf decreases. This is because the relative speed between the rotating magnetic field and the rotor decreases, resulting in a lower induced emf.
Supply Frequency:
The supply frequency is the frequency of the alternating current supplied to the stator windings of the induction motor. It determines the speed of the rotating magnetic field.
Relationship between Slip and Frequency:
The speed of the rotor is determined by the frequency of the induced emf, which is lower than the supply frequency due to slip. The slip is given by the formula:
Slip (s) = (Ns - Nr) / Ns
Where Ns is the synchronous speed of the rotating magnetic field and Nr is the rotor speed.
Conclusion:
Since the induced emf frequency is directly proportional to the slip, and the slip is always positive, the frequency of the induced emf in an induction motor is always lower than the supply frequency. Therefore, the correct answer is option 'B' - Lesser than the supply frequency.
In an induction motor, the frequency of the induced emf is always lower than the supply frequency. This is due to the phenomenon of slip in an induction motor.
Slip:
Slip is defined as the difference between the synchronous speed of the rotating magnetic field and the actual speed of the rotor. It is denoted by the symbol 's' and is expressed as a percentage.
Induced EMF:
The induced emf in the rotor windings is directly proportional to the slip. As the rotor speed decreases, the slip increases, and thus the induced emf decreases. This is because the relative speed between the rotating magnetic field and the rotor decreases, resulting in a lower induced emf.
Supply Frequency:
The supply frequency is the frequency of the alternating current supplied to the stator windings of the induction motor. It determines the speed of the rotating magnetic field.
Relationship between Slip and Frequency:
The speed of the rotor is determined by the frequency of the induced emf, which is lower than the supply frequency due to slip. The slip is given by the formula:
Slip (s) = (Ns - Nr) / Ns
Where Ns is the synchronous speed of the rotating magnetic field and Nr is the rotor speed.
Conclusion:
Since the induced emf frequency is directly proportional to the slip, and the slip is always positive, the frequency of the induced emf in an induction motor is always lower than the supply frequency. Therefore, the correct answer is option 'B' - Lesser than the supply frequency.
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