What the counter emf of a motor is always less than applied armature voltage.explain?

The counter electromotive force (counter EMF) of a motor is always less than the applied armature voltage because the motor requires a certain amount of voltage to overcome its internal resistances and inductances, as well as to produce torque. When the motor starts, the armature current is high, leading to a significant voltage drop due to resistance. As the motor speeds up, the counter EMF increases, but it never reaches or exceeds the applied voltage, as some voltage is always required to maintain current flow and overcome losses like friction and heat. Thus, the counter EMF is always a fraction of the applied voltage.