Forces

A charged particle experiences a force in a magnetic field according to the Lorentz force law: where: - is the force on the particle, - is the charge of the particle, - is the velocity of the particle, - is the magnetic field. From this equation, we can conclude that the charged particle will not experience a force in the following cases: 1. When the velocity of the particle is parallel to the magnetic field: If the velocity of the charged particle is parallel or anti-parallel to the magnetic field ( or where is a constant), then the cross product will be zero, and therefore, the particle will not experience any force. 2. When the velocity of the particle is zero: If the charged particle is at rest ( ), then no force will act on it, as the magnetic force depends on the velocity of the particle. Thus, a charged particle does not experience a force in a magnetic field if: - The particle is at rest, or - The particle’s velocity is parallel (or anti-parallel) to the magnetic field.