Discussion
The slip at which an induction motor develops its maximum torque is approximately
Answer: A
Correct answer: the ratio of rotor resistance to rotor reactance
Maximum torque occurs where the rotor circuit transfers most power, which is where the effective rotor resistance \( R_2/s \) equals the standstill rotor reactance:
\[ \frac{R_2}{s} = X_2 \quad \Rightarrow \quad s_{max} = \frac{R_2}{X_2} \]Because it depends on the ratio, adding external rotor resistance moves the peak to a higher slip without changing its height. A machine with \( R_2 = 0.1\,\Omega \) and \( X_2 = 0.5\,\Omega \) peaks at 20 per cent slip.
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