A 230 V, 650 rpm, 100 A separately excited DC motor has armature resistance and inductance of 0.08 ohm and 8 mH respectively. The motor is controlled by a single-phase half-controlled rectifier with a source voltage of 230 V, 50 Hz. Identify the modes and calculate speeds for:
(a) α = 60° and torque 1000 N-m
(b) α = 120° and torque 1000 N-m