The magnitude of developed torque will depend on

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Examoogle · Accepted Answer

Option D: All of these

Explanation & Concepts:
The developed torque in an induction motor is influenced by various factors, primarily the magnitude of the stator and rotor rotating magnetic fields (RMF) and the angle between them. Therefore, the correct answer is D, as all these factors play a crucial role in torque production.

Working Principle: In an induction motor, torque is produced when the stator's RMF interacts with the rotor's RMF. The larger the magnitudes of these fields and the closer to 90 degrees the angle between them, the greater the torque developed. This interaction causes the rotor to turn, creating mechanical energy from electrical energy.

Key Formulas: $T_{developed} \propto P \cdot \Phi_s \cdot \Phi_r \cdot \sin(\theta)$ — where $T_{developed}$ is the developed torque, $P$ is the power factor, $\Phi_s$ is the stator RMF, $\Phi_r$ is the rotor RMF, and $\theta$ is the angle between them.

Key Points: The torque is maximum when the angle between the stator and rotor RMF is 90 degrees.; Developed torque is directly proportional to the product of the magnitudes of the stator and rotor RMFs.

Advantages: Induction motors are robust and require minimal maintenance.; They can operate across a wide range of load conditions.

Disadvantages: Lower efficiency compared to synchronous motors at low load conditions.; Torque-speed characteristics can lead to instability in certain applications.

Applications: Used extensively in industrial applications for driving heavy machinery.; Suitable for fan, pump, and compressor applications due to their reliability.

Additional Info: Stator RMF is generated by the stator winding due to alternating current, while the rotor RMF is induced in the rotor due to this magnetic field.. Option A is partially correct; however, it alone does not encompass the complete torque development mechanics.

Answer: D is correct — developed torque depends on the magnitude of stator RMF, rotor RMF, and the angle between them.

Exam Tip: Always remember the relationship of RMFs; their magnitudes and orientations critically influence the efficiency of induction motors.

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Option A: The magnitude of Stator RMF

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Option B: The magnitude of Rotor RMF

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Option C: The angle between Stator and Rotor RMF

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