What is magnetic force measured in?

Magnetic Force and its Units:
The magnetic force on a charged particle moving in a magnetic field is given by the Lorentz force law:
F=q(v×B)\mathbf{F} = q (\mathbf{v} \times \mathbf{B})
where:
• F\mathbf{F} is the magnetic force,
• qq is the charge of the particle,
• v\mathbf{v} is the velocity of the particle,
• B\mathbf{B} is the magnetic field,
• ×\times represents the cross product between the velocity and magnetic field vectors.
Units of Magnetic Force:
In the SI system, the units of the quantities involved are:
• Charge (qq) is measured in coulombs (C),
• Velocity (vv) is measured in meters per second (m/s),
• Magnetic Field (BB) is measured in teslas (T), where 1 T=1 kg/(C⋅s)1 \, \text{T} = 1 \, \text{kg}/(\text{C} \cdot \text{s}).
Using these units, the unit of magnetic force is derived as follows:
• The unit of charge qq is coulombs (C),
• The unit of velocity vv is meters per second (m/s),
• The unit of magnetic field BB is teslas (T).
Substituting into the Lorentz force formula:
[F]=[q]×[v]×[B]=C×ms×T[\mathbf{F}] = [q] \times [\mathbf{v}] \times [\mathbf{B}] = \text{C} \times \frac{\text{m}}{\text{s}} \times \text{T}
Since 1 T=1 kg/(C⋅s)1 \, \text{T} = 1 \, \text{kg}/(\text{C} \cdot \text{s}), the units simplify as:
[F]=C×ms×kgC⋅s=kg⋅ms2[\mathbf{F}] = \text{C} \times \frac{\text{m}}{\text{s}} \times \frac{\text{kg}}{\text{C} \cdot \text{s}} = \frac{\text{kg} \cdot \text{m}}{\text{s}^2}
Thus, the unit of magnetic force is the newton (N), which is the standard unit of force in the SI system.
Conclusion:
The magnetic force is measured in newtons (N).