The Lorentz Force was derived in 1895 by Hendrik Lorentz.
The definition is:
In physics (particularly in electromagnetism) the Lorentz force is the combination of electric and magnetic force on a point charge due to electromagnetic fields. A particle of charge q moving with velocity v in the presence of an electric field E and a magnetic field B experiences a force
The Lorentz Force is an orthogonal, at right angles, relationship between:
- Magnetic Field ( B )
- Charged Particle ( q )
- Velocity of the Charge or Magnetic Field ( v )
- Force ( F ), an applied Velocity due to this relationship.
The fundamental force on an electric charge q moving with velocity v in a magnetic field B is called the magnetic Lorentz force.
F N = I (l x B) = N q v x B
Where Nq is the total electrical charge in the current-carrying conductor, drifting with velocity v.
The total force (often called Lorentz force ) on a charge q moving with velocity v in an electric field E and magnetic field B is
F = q ( E + v x B )
The Angle is important to the Force:
Some Video Resources:
One of the better videos with lots of detail, keep in mind the Cyclotron or Magnetron:
If you take Flux Cutting Law, the Right angle Cutting of the Flux past the Insulated Copper Conductor pushes the Charged Particles down the Pipe, the Insulated Copper Conductor, where the Charges in motion can not escape the Conductor because of the insulation.
The Lorentz Force is awesome, its handy to know about!