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The rotor resistance and reactance of a 4-pole, 50 Hz, 3-phase slip ring induction motor are 0.4 Ω and 4 Ω per phase, respectively. Calculate the spee
Question

The rotor resistance and reactance of a 4-pole, 50 Hz, 3-phase slip ring induction motor are 0.4 Ω and 4 Ω per phase, respectively. Calculate the speed at maximum torque.

A.

950 RPM

B.

1150 RPM

C.

1250 RPM

D.

1350 RPM

Correct option is D

Given that, rotor resistance per phase (R2)=0.4 Ω rotor reactance per phase (X2)=4 Ω Slip at maximum torque (sm)=0.44=0.1 Number of poles (P)=4 Frequency (f)=50 HzSynchronous speed:Ns=120fPNs=120×504Ns=1500 rpmRotor speed at maximum torque =1500(10.1)=1350 rpm\text{Given that, rotor resistance per phase } (R_2) = 0.4\ \Omega\\\text{ rotor reactance per phase } (X_2) = 4\ \Omega\\\text{ Slip at maximum torque } (s_m) = \frac{0.4}{4} = 0.1\\\text{ Number of poles } (P) = 4\\\text{ Frequency } (f) = 50\ \text{Hz}\\\text{Synchronous speed:} \\N_s = \frac{120f}{P} \\N_s = \frac{120 \times 50}{4} \\N_s = 1500\ \text{rpm}\\\text{Rotor speed at maximum torque } = 1500(1 - 0.1) = 1350\ \text{rpm}​​

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