Answer Posted / anonymus

Expression for current in Induction motor is given by;
I=Vs/√((r1+r2/s)^2+(x1+x2)^2 )
Where: I= stator current
Vs= Stator Voltage
r1,r2,x1 and x2 are stator resistance, rotor resistance,stator impedance and rotor impedance
s= slip
As load increases rotor speed decreases. Since,[s=(Ns-Nr)/Ns] as a result slip(s) increases hence the term (r2/s) decreases and the net impedance decreases and the current I(inversely proportional to impedance as also can be seen from equation) increases.

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