Q1. a) () Derive the relationship between the motor speed w and the output torque T, for a given supply voltage V of a series DC motor. Draw the w vs. T characteristic curve. (i) A DC shunt motor has an armature resistance of 1.X Q, a field resistance of (200- XY) Q and is connected to a 200 V supply. If the motor runs at 1500 rpm and takes a current of 21 A from the supply, calculate the output torque of the motor. Note that X and Y are the last two digits of your student number. For example, if your student number is C1700123, then X-2, Y-3; 1.X-1.2, 200-XY=177. (ii) Identify the no-load speed, and the speed when the torque is reduced to half for this DC motor in (ii).

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Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.