If the counter emf becomes equal to the applied voltage, then current through the armature conductor will be zero and for this armature of motor will not rotate. Thus again the counter emf of the motor will be zero. So the counter emf can never be equal or greater than terminal voltage of a motor.
Explain the universality of the statement that motor action is always accompanied by generator action or vice versa:
When armature of motor rotates in
magnetic field, then the conductors cut flux and for this reason a voltage is
induced across the armature. This is the motor action accompanied by the
generator action.
In the case of a generator,
current flows through the conductors of the armature. When a current flowing
conductor is placed in a magnetic field, it rotates. Thus it is the generator
action accompanied by motor action.
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