Why does a magnetic field not exert a force on a charge at rest?

In physics, a magnetic field does not exert a force on a stationary electric charge because the magnetic force is fundamentally dependent on the motion of the charge.12

The interaction is described by the Lorentz force equation, which defines the magnetic component of the force as:

$$𝐅=q𝐯\times 𝐁$$

In this equation, $q$ represents the charge, $𝐯$ is the velocity of the particle, and $𝐁$ is the magnetic field. Because the magnetic force is proportional to the cross product of the velocity and the magnetic field, the magnitude of the force is given by $F=qvB\sin \varphi$, where $\varphi$ is the angle between the velocity and the field.345

If a charge is at rest, its velocity $𝐯$ is zero. Consequently, the magnitude of the force becomes zero, regardless of the strength of the magnetic field. While stationary charges do experience electric forces in the presence of an electric field, magnetic forces only arise when charges are in motion.21