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Why does a magnetic field not push on a stationary electric charge?

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Learn about magnetic fields and the levels of particles, atoms, crystals, and domains — magnet Magnetic fields and the levels of magnetism of particles, atoms, crystals, and domains.

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.

In physics, the interaction between a magnetic field and a charged particle is described by the Lorentz force. The magnetic component of this force is defined by the equation:

$F = q v B \sin ϕ$

In this formula, $v$ represents the velocity of the charged particle. If the charge is at rest, its velocity is zero ( $v = 0$ ), which results in a magnetic force of zero.123

While stationary electric charges do experience electric forces in the presence of an electric field, magnetic forces only arise when charges are in motion. This motion creates a cross product between the velocity vector and the magnetic field vector, ensuring that the resulting force acts in a direction perpendicular to both the particle's path and the magnetic field lines.143