How do you relate between magnetic field from current carrying wires with the force felt by a current carrying wire?

"The magnetic field exert the force on current carrying wire in the direction of the individual charge particles moving."

Explanation:

The magnetic field that exert force in the current carrying wire in the same direction in which the charge particles moving came from the Right hand rule. The force are very higher that are sufficient to move the wire, hence, current particles have large number or moving particles in it. The wires through which current is flowing attract each other even in same direction because of the right hand rule only and also the formation of the magnetic field around the wire. The lines of force are the magnetic field.

see earlier answer