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Question:

Write the expression, in a vector form, for the Lorentz magnetic force due to a charge moving with velocity in a magnetic field. What is the direction of the magnetic force?

Solution:

The Lorentz magnetic force is given by the following relation:
→F=q(→V×→B)
Here q is the magnitude of the moving charge.
The direction of the magnetic force is perpendicular to the plane containing the velocity vector →V and the magnetic field vector →B.