F = qv × B is the total magnetic force on the charge. forces that are up (towards i2) are positive and forces that are down (towards i1) are negative.
Two things are in mind. How much charge is in each object, how much motion there is in each, and how far away they are all affect how much magnetic force there is between them. Depending on the relative motion directions of the charge in each situation, the force's direction changes.
Typically, the process of determining the magnetic force is framed in terms of a given quantity of charge (qqq) moving at a constant speed (vvv) in a uniform magnetic field (BBB). Because it is frequently possible to determine the magnetic field based on the distance to a known current, we can still utilize this method even if we don't directly know the magnetic field's magnitude.
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