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Derive an expression for the time taken by a dc series motor driving a constant torque...

Derive an expression for the time taken by a dc series motor driving a constant torque load to accelerate from a speed N1 (rpm) to N2 (rpm). The motor developed torque may be assumed to be inversely proportional to the speed. Hence, determine the energy dissipated in the armature circuit during the acceleration from N1 to N2.

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