The Lorentz Force

The Lorentz force is the force experienced by a moving charged particle in an electric and magnetic field. The magnetic component is:

F=qvB

where F is the force (in newtons, N), q is the electric charge (in coulombs, C), v is the velocity of the charged particle (in m·s−1) and B is the magnetic field strength (in teslas, T).

Source: everythingscience.co.za

An electric motor works by using a source of emf to make a current flow in a loop of conductor such that the Lorentz force on opposite sides of the loop are in opposite directions which can cause the loop to rotate about a central axis.