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In a 3-phase squirrel cage induction motor, applied voltage is reduced to x times its rated value. Then, its starting line current from mains and starting torque by auto-transformer starting would reduce respectively from their corresponding direct switching values by a factor of
  • a)
    x, x2    
  • b)
    x, x
  • c)
    x2, x2
  • d)
    x2, x
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a 3-phase squirrel cage induction motor, applied voltage is reduced...
Explanation:

In a 3-phase squirrel cage induction motor, when the applied voltage is reduced to x times its rated value, the starting line current from mains and starting torque by auto-transformer starting reduce from their corresponding direct switching values by a factor of x2.

Starting Line Current from Mains:
- When the applied voltage is reduced to x times its rated value, the starting line current from mains decreases.
- The starting line current is inversely proportional to the applied voltage.
- So, if the applied voltage is reduced to x times, the starting line current will decrease by a factor of 1/x.

Starting Torque by Auto-Transformer Starting:
- Auto-transformer starting is a method used to reduce the starting current and torque of the induction motor.
- When the applied voltage is reduced to x times its rated value, the starting torque by auto-transformer starting also reduces.
- The starting torque is directly proportional to the square of the applied voltage.
- So, if the applied voltage is reduced to x times, the starting torque will decrease by a factor of (x)2.

Conclusion:
Therefore, the starting line current from mains and starting torque by auto-transformer starting would reduce, respectively, from their corresponding direct switching values by a factor of x2.
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Community Answer
In a 3-phase squirrel cage induction motor, applied voltage is reduced...
  • In a 3-phase squirrel cage induction motor, if the applied voltage is reduced to x times its rated value, then the starting line current from mains and starting torque by auto-transformer starting would reduce by a factor of x2 from their corresponding direct switching values.
  • During motor starting, the starting line current and starting torque are influenced by the applied voltage. When the voltage is reduced to x times its rated value, the effect on the starting line current and starting torque can be determined.
  • Option C states that the starting line current from mains and starting torque by auto-transformer starting would reduce by a factor of x2 from their corresponding direct switching values. This means that both the starting line current and starting torque would decrease by a factor of x2.
  • Option A suggests that the starting line current would reduce by a factor of x, but the starting torque would reduce by a factor of x2. This is not correct since both the starting line current and starting torque would reduce by the same factor.
  • Option B suggests that both the starting line current and starting torque would reduce by a factor of x. However, the correct answer should reflect the reduction by a factor of x2, as mentioned in the problem statement.
  • Option D suggests that the starting line current would reduce by a factor of x2, but the starting torque would reduce by a factor of x. This is not correct since both the starting line current and starting torque would reduce by the same factor.
  • Therefore, the correct answer is C) x2, x2. The starting line current from mains and starting torque by auto-transformer starting would reduce by a factor of x2 from their corresponding direct switching values.
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In a 3-phase squirrel cage induction motor, applied voltage is reduced to x times its rated value. Then, its starting line current from mains and starting torque by auto-transformer starting would reduce respectively from their corresponding direct switching values by a factor ofa)x, x2 b)x, xc)x2, x2d)x2, xCorrect answer is option 'C'. Can you explain this answer?
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