Since the plane of magnetic field is perpendicular to the current element, the magnetic Lorentz force acting on it will be zero.
Lorentz force is defined as the force exerted on a charged particle q moving with the velocity v through an electric field E and the magnetic field B.
Following is the mathematical representation of Lorentz force:
|F = qE + qv x B|
Following are the applications of Lorentz force:
(a) Particle accelerators and cyclotrons use Lorentz force.
(b) The graph of the trajectories of the charged particles in the Bubble chamber are obtained from Lorentz force.