An industrial DC motor drive is controlled by a chopper operating at a fixed frequency of 2 kHz. The DC bus voltage is 250V. The motor resistance is 0.5 Ω and the total circuit inductance is 0.25 mH. At a particular speed, the motor voltage is 150V. Determine the minimum duty cycle at this speed below which discontinuous conduction will commence (10 Marks) in the motor.