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A change of 5% in supply voltage to a 3 phase induction motor will produce the appropriate change in the torque of-
- a)5%
- b)7.5%
- c)25%
- d)10%
Correct answer is option 'D'. Can you explain this answer?
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Explanation:
The torque of a 3-phase induction motor is directly proportional to the square of the applied voltage. Therefore, a change in supply voltage will have a significant effect on the torque produced by the motor.
Effect of 5% change in supply voltage:
- A 5% change in supply voltage will result in a 10% change in the torque produced by the motor.
- This is because torque is directly proportional to the square of the voltage, so a 5% change in voltage results in a 10% change in torque (5% squared = 0.25 or 25%, which is the same as a 10% change in torque).
Formula for torque in a 3-phase induction motor:
- T = ((3 x V^2 x R x S) / (2 x π x N))
- Where T is the torque, V is the supply voltage, R is the rotor resistance, S is the slip, π is pi, and N is the synchronous speed.
Conclusion:
Therefore, a change of 5% in supply voltage to a 3-phase induction motor will result in a 25% change in torque produced by the motor. This is because torque is directly proportional to the square of the voltage.
The torque of a 3-phase induction motor is directly proportional to the square of the applied voltage. Therefore, a change in supply voltage will have a significant effect on the torque produced by the motor.
Effect of 5% change in supply voltage:
- A 5% change in supply voltage will result in a 10% change in the torque produced by the motor.
- This is because torque is directly proportional to the square of the voltage, so a 5% change in voltage results in a 10% change in torque (5% squared = 0.25 or 25%, which is the same as a 10% change in torque).
Formula for torque in a 3-phase induction motor:
- T = ((3 x V^2 x R x S) / (2 x π x N))
- Where T is the torque, V is the supply voltage, R is the rotor resistance, S is the slip, π is pi, and N is the synchronous speed.
Conclusion:
Therefore, a change of 5% in supply voltage to a 3-phase induction motor will result in a 25% change in torque produced by the motor. This is because torque is directly proportional to the square of the voltage.
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