(a)
(i) The per-phase parameters of the equivalent circuit for a 400 V, 33 kW, 50 Hz, 3-phase star-connected, 4-pole 1463 rpm induction motor are: $R_s$=0.2 Ω, $X_s$=0.5 Ω, $X_m$=20 Ω, $R_R$=0.1 Ω, $X_R$=0.2 Ω (all parameters referred to primary and $X_m$ can be considered at the terminal input) Mechanical losses (windage and friction) are 650 W and iron losses are 300 W at rated operating conditions.
Determine the following when the motor operates under rated conditions of load, speed and voltage
(a) Synchronous speed and slip
(b) The input current and power factor
(3 Marks)
(10 Marks)