Lorentz force
The Lorentz force is the force experienced by a charged particle moving through an electric and magnetic field. It combines the effects of both fields, resulting in a force that is perpendicular to the direction of the particle's velocity and the magnetic field. This force is crucial in understanding the behavior of charged particles in various applications, such as in particle accelerators and electric motors.
Mathematically, the Lorentz force can be expressed as F = q(E + v × B), where F is the force, q is the charge of the particle, E is the electric field, v is the velocity of the particle, and B is the magnetic field. This equation highlights how the Lorentz force depends on the charge, the fields, and the particle's motion, making it fundamental in electromagnetism.