Discussion
Assertion (A): Adding rotor resistance raises the maximum torque of an induction motor.
Reason (R): It increases the slip at which maximum torque occurs.
Select the correct option.
Answer: D
Correct answer: A is false but R is true
The reason is true: \( s_{max} = R_2/X_2 \), so adding rotor resistance does raise the slip at which the peak occurs. The assertion is false, because
\[ T_{max} = \frac{3}{2\omega_s}\cdot\frac{V^2}{2X_2} \]contains no \( R_2 \) at all. The peak moves along the slip axis without changing height. What the added resistance buys is a larger torque at starting, which is a different quantity from the maximum torque.
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