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Magnetism

## Charged particle in magnetic field

If a particle of charge q and velocity $\vec v$ enters a region of space occupied by magnetic field $\vec B$, which is establishes by some source, it experiences a magnetic force $\vec F_B$ given by
$\vec F_B=q\vec v \times \vec B$
Using definition of the cross product, we obtain its magnitude as
$|\vec F_B|=|q|vB\, \sin \theta$
Where $\theta$ is the smaller angle between $\vec v$ and $\vec B$.