My high school book explains the magnetic force on current-carrying wire by stating:
The change in the resultant of the magnetic flux density at the two sides of the wire which is due to both the original magnetic flux and the magnetic flux due to the flow of the electric current in the wire
This force leads to the motion of the wire from the higher magnetic flux density region to the lower magnetic density region if the wire is free to move
It simply states that the wire move due to magnetic flux density difference. How could that even affect the wire!
Is this explanation wrong? If not, then what is the correct explanation?