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a) False. The speed of a DC motor is proportional to the applied voltage, not the main magnetic flux.
b) True. Series motors have variable speeds.
c) True. The torque produced by a series motor is proportional to the square of the armature current.
d) False. Shunt motors are typically not high-torque motors, they are better suited for applications where a constant speed is required.
e) True. The speed of a motor will decrease with a decrease in the main magnetic flux, as the back EMF generated is reduced.