Let's say there is a solenoid consisting of 8 loops. The Solenoid has an air core and the wire is welding wire. Each loop has a diameter of 1 Meter.
Now imagine a motor shaft running through the middle of the loops in the solenoid. Attached to the motor's shaft are 1 Tesla magnets that spin with the shaft. Each magnet has it's north pole facing towards the wire and it's south pole facing towards the center of the shaft.
IMPORTANT: Take note that the magnetic field covers the entire height of all eight loops (being that the loops are stacked on top of one another).
If one used 100 amp PULSED DC running through the wire and rotated the magnets on the shaft of the motor (the motor is not run on pulsed DC and is its own separate circuit) to a significant speed, WOULD THERE BE A LORENTZ FORCE ON ALL PARTS (dl) OF THE WIRE (on all eight loops).
In other words, would there be a Lorentz Force on 24 Meters of Wire?
I got 24 meters assuming that the circumference of each loop is around 3 meters.