#### The torque T, of an induction motor is proportional to the product of stator flux per pole ( φ ), rotor current ( I ), and the power factor of the rotor. The torque of an induction motor is due to the interaction of the rotor and stator fields and is dependent on the strength of the fields and their phase relationship.

#### Thus,

####
T α I_{2 }Cos φ_{2}

#### Since rotor induced e.m.f/phase, E is proportional to the stator flux, φ.

####
i.e., E_{2 } α φ

#### Therefore,

####
T
α E_{2} I_{2} Cos φ_{2}

#### and

#### Rotor Power factor,

#### Therefore,

#### Where

#### K = Constant of proportionality

####
= 3*60 / 2π N_{s}

## Another Method :

#### Let

#### T = Torque developed by an induction motor

#### We know that

#### Rotor input,

####
**P**_{2} = 2π** N**_{s} T / 60

_{2}= 2π

_{s}T / 60

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