The Lorentz force is the force on a charged particle moving in a region containing _____________

The Lorentz force is the force on a charged particle moving in a region containing electric and magnetic fields. Specifically, it can be described mathematically as:

$\mathbf{F} = q(\mathbf{E} + \mathbf{v} \times \mathbf{B})$

where:

• $\mathbf{F}$ is the Lorentz force,
• $q$ is the charge of the particle,
• $\mathbf{E}$ is the electric field,
• $\mathbf{v}$ is the velocity of the charged particle,
• $\mathbf{B}$ is the magnetic field,
• $\times$ denotes the cross product.

This equation indicates that the Lorentz force results from both the electric field influencing the charged particle directly and the magnetic field acting on the particle's velocity, altering its trajectory.