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What is the condition to derive Maximum rinning torque from Developed torque?
A) R2 = S X2
B) Slip = 1
C) R2 = X2
D) Both S=1 and R2 = S X2
Both S=1 and R2 = S X2
The correct answer is D. The maximum running torque from developed torque occurs when the slip (S) equals 1 and the rotor resistance (R2) equals the product of slip (S) and reactance (X2). This ensures that the motor operates at optimal conditions for maximum torque.
The correct answer is D. The maximum running torque from developed torque occurs when the slip (S) equals 1 and the rotor resistance (R2) equals the product of slip (S) and reactance (X2). This ensures that the motor operates at optimal conditions for maximum torque.
R2=S×X2 — Condition for maximum torque
S=1 — Maximum slip condition
When the slip equals 1, the rotor is fully locked and is at its maximum inductance; thus, it maximizes the back EMF generated. Additionally, setting the rotor resistance equal to the slip multiplied by the reactance optimizes the power transfer in the motor, maximizing the torque developed.
To achieve maximum running torque, specific conditions regarding slip and rotor resistance must be satisfied.
Understanding the relationship between slip, resistance, and reactance is crucial for optimal motor performance.
Enhances motor efficiency
Improves performance under load
May lead to overheating if not managed
Could impact longevity if conditions are not maintained
Industrial motors
Pumps and fans requiring high torque
Standard value for slip in induction motors typically ranges from 0 to 1.
Option A is incorrect because R2 and X2 are not equal unless in special cases, Option B states an unrealistic slip condition, and Option C does not account for the slip for optimal performance.
D is correct — both S=1 and R2 = S ×X2are required for maximum running torque.
Focus on understanding the slip and its impact on torque in induction motors as it frequently appears in competitive exams.