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 )                  Explanation