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Examoogle • User • info@examoogle.com • EE-2024-8821
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Devloped Torque _________ Supply Voltage (V) and __________ Rotor Resistance (R₂)
Directly Propositional & Inversely Propositional
Inversely Propositional & Directly Propositional
Directly Propositional & Directly Propositional
Directly Square Propositional & Directly Propositional
Directly Square Propositional & Directly Propositional
The developed torque of an induction motor is directly proportional to the square of the supply voltage and directly proportional to the rotor resistance · Hence, the correct answer is D.
The developed torque of an induction motor is directly proportional to the square of the supply voltage and directly proportional to the rotor resistance · Hence, the correct answer is D.
T∝V2 — Torque proportional to square of voltage
T∝R2 — Torque proportional to rotor resistance
When the supply voltage increases, the current in the rotor also increases, leading to a rise in torque · Additionally, the rotor resistance influences the torque output, as higher resistance allows for better torque generation under certain conditions.
Higher supply voltage results in significantly greater torque due to the square relationship.
As rotor resistance increases, it can also enhance torque generation, particularly in specific operating conditions.
Improved torque output with higher voltages
Flexibility in motor design due to rotor resistance influence
Potential for motor overheating at high voltages
Increased power losses with higher rotor resistance
Industrial drives
Pumps and fans
The relationship of torque with supply voltage is critical for motor selection in variable applications.
Option A is incorrect because torque is not directly proportional to rotor resistance and voltage.
D is correct — developed torque is directly square proportional to supply voltage and directly proportional to rotor resistance.
In competitive exams, focus on understanding the proportional relationships in electrical machines to tackle similar questions.