Why Does EMF Cancel Out When a Magnet Moves Constantly Inside a Solenoid?

[sgstudent]

What will happen when I push a magnets into a solenoid with constant speed throughout? I understand that when the magnet leaves and enters an induced emf will occur, but in the middle no emf will occur. Why is this so? I thought that the magnetic flux linkage changes as it moves in the solenoid?

 

[Hassan2]

As the magnet moves through the solenoid with both the pole inside, for each loop of the coil with increasing flux linkage, there is a loop with a decreasing flux equally, hence their emfs cancel each other out ( the solenoid is a combination of the loops in series).