Step 1: Torque in induction motor.
Torque is proportional to the sine of the angle between stator field and rotor field:
\[
T \propto \sin(\delta)
\]
Step 2: Maximum torque condition.
For \( \sin(\delta) \) to be maximum, \( \delta = 90^\circ \). This occurs when the induced rotor EMF is in quadrature (90° out of phase) with stator flux.
Step 3: Practical interpretation.
At this phase angle, interaction between stator and rotor fields is strongest, delivering maximum torque.
Conclusion: Maximum torque is developed at a $90^\circ$ electrical phase difference.