Discussion
An induction motor develops 60 N·m at rated voltage. At 80 per cent of rated voltage, at the same slip, it develops
Answer: B
Correct answer: 38.4 N·m
Torque at a fixed slip varies as the square of the applied voltage:
\[ T = 60 \times (0.8)^2 = 60 \times 0.64 = 38.4 \text{ N·m} \]The 48 N·m answer treats the relation as linear in the voltage, which understates the loss of torque. This square law is why undervoltage is so damaging to starting performance.
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