Magnetic fields feel forces when a charge is present. When the charges are moving, the magnetic field exerts a force. The direction of the magnetic force is determined by the direction which the charge is moving and will always be perpendicular to the plane formed by v and B, and is proportional to q, v, and B. Magnetic fields consist of both magnitude and direction like vectors. This can be seen by the right-hand rule when a wire carrying a current is the model. If we rap our hands around the wire, the curled fingers show the direction of the field while the thumb shows the direction of the current. The magnitude then measured by probes.
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