DC Motors
A series motor will over speed when

The armature circuit is opened.
The field is opened
The load is increase
Load is removed

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DC Motors
If a D.C. shunt motor is working at no load and if shunt field circuit suddenly opens

This will result in excessive speed, possibly destroying armature due to excessive centrifugal stresses
Motor will run at very slow speed
This will make armature to take heavy current, possibly burning it
Nothing will happen to the motor

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