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If the voltage is reduced to half, the torque developed by an induction motor will be reduced to
- a)1/4 of original torque.
- b)1/2 of original torque
- c)1/2 of original torque
- d)1/16 of original torque.
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If the voltage is reduced to half, the torque developed by an inductio...
τ ∝ V2 in the induction motor. If voltage is half than torque must be ¼ times of original torque.
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If the voltage is reduced to half, the torque developed by an inductio...
Explanation:
When the voltage supplied to an induction motor is reduced, it directly affects the motor's performance, including the torque it can develop. The torque developed by an induction motor is directly proportional to the square of the voltage applied to it. Therefore, when the voltage is reduced to half, the torque will be reduced to one-fourth of its original value, as explained below.
Relationship between voltage and torque:
The torque developed by an induction motor can be expressed as:
Torque ∝ V^2
Where:
- Torque is the developed torque
- V is the applied voltage
Effect of reducing voltage:
When the voltage applied to the motor is reduced to half (V/2), the torque can be calculated as follows:
New Torque = (V/2)^2
= V^2/4
Comparing the new torque to the original torque, we can see that the new torque is one-fourth of the original torque:
New Torque = 1/4 * Original Torque
Therefore, when the voltage is reduced to half, the torque developed by an induction motor will be reduced to one-fourth (1/4) of its original value.
Conclusion:
The correct answer is option 'A': 1/4 of the original torque.
When the voltage supplied to an induction motor is reduced, it directly affects the motor's performance, including the torque it can develop. The torque developed by an induction motor is directly proportional to the square of the voltage applied to it. Therefore, when the voltage is reduced to half, the torque will be reduced to one-fourth of its original value, as explained below.
Relationship between voltage and torque:
The torque developed by an induction motor can be expressed as:
Torque ∝ V^2
Where:
- Torque is the developed torque
- V is the applied voltage
Effect of reducing voltage:
When the voltage applied to the motor is reduced to half (V/2), the torque can be calculated as follows:
New Torque = (V/2)^2
= V^2/4
Comparing the new torque to the original torque, we can see that the new torque is one-fourth of the original torque:
New Torque = 1/4 * Original Torque
Therefore, when the voltage is reduced to half, the torque developed by an induction motor will be reduced to one-fourth (1/4) of its original value.
Conclusion:
The correct answer is option 'A': 1/4 of the original torque.
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If the voltage is reduced to half, the torque developed by an induction motor will be reduced toa)1/4 of original torque.b)1/2 of original torquec)1/2 of original torqued)1/16 of original torque.Correct answer is option 'A'. Can you explain this answer?
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