If a charged particle is completely stationary ($\\mathbf{v}=0$) within a strong magnetic field, what magnetic force does it experience?

Answer

Absolutely no magnetic force.

The magnetic force formula, $\\mathbf{F}_B = q(\\mathbf{v} \\times \\mathbf{B})$, includes the velocity vector $\\mathbf{v}$. If the velocity is zero, the cross product is zero, resulting in zero magnetic force.

If a charged particle is completely stationary ($\\mathbf{v}=0$) within a strong magnetic field, what magnetic force does it experience?
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