Consider the following statements about equivalent circuit with core losses of single-phase motor and select the correct option.

1. Slip at maximum torque is calculated with the help of maximum power transfer theorem.

2. Torque of an induction motor T = \(\rm \frac{ω}{P}\), where ω = speed in rad/sec, P = Power.

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  1. Both 1 and 2 are not true
  2. Only 1 is true
  3. Both 1 and 2 are true
  4. Only 2 is true

Answer (Detailed Solution Below)

Option 2 : Only 1 is true
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Detailed Solution

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Analysis of Statements about Single-Phase Motor Equivalent Circuit:

Statement 1:

  • Slip at maximum torque is calculated with the help of the maximum power transfer theorem.
  • This statement is true. The maximum power transfer theorem can be applied to find the slip at maximum torque in an induction motor. According to the theorem, maximum power transfer occurs when the load resistance equals the source resistance, which is analogous to the condition for maximum torque in an induction motor.


Statement 2:

  • Torque of an induction motor T = ωP, where ω = speed in rad/sec, P = Power.
  • This statement is not true. The torque (T) of an induction motor is given by the formula: T = P / ω, where P is the power and ω (omega) is the angular speed in rad/sec.
  • herefore, T = P / ω, not T = ωP.
     

Conclusion:

The correct option is: Only 1 is true

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