Abstract:The motions of a charged particle in orthogonally time-varying electrical/magnetic fields and plane electromagnetic wave are investigated by the application of classical Lorentz Force Equation. The solutions of Lorentz Force Equation provided answers to the behaviors of charged particles in static field, harmonic field, harmonic field with orthogonal electricity and magnetism and plane polarized electromagnetic wave. The results show that the movements depend on the conditions to which a charged particle exposed. In most cases, there are harmonic movements along the direction of electrical vector both in static field and harmonic fields with different periods. The speeds along wave vector and electrical vector satisfied the equation of a circle. With plane wave, the velocity of the particle in electrical direction satisfied wave equation. When the frequency gets very high, the velocity of a charged particle is mainly affected by its initial conditions. By numeric simulation, the trajectories are shown while the validity of Lorentz Force Equation is discussed.