4.2.2 Magnetic Field, Lorentz Force
The magnetic force on a moving charge is always normal to both the velocity and the magnetic field, so it can turn the charge but never change its speed.
This has two immediate consequences. A charge at rest feels no magnetic force at all, and a magnetic field does no work on a moving charge. Both follow from the vector product, and both are worth checking against the definition before moving on.
Let us suppose that there is a point charge q moving with velocity v and located at position r, in the presence of both an electric field E and a magnetic field B. The force on this charge is the sum of an electric part and a magnetic part.
The unit of magnetic field follows from the same expression. If a charge of one coulomb moving at one metre per second normal to the field feels a force of one newton, the field is one tesla. The tesla is a large unit, which is why the gauss, equal to one ten-thousandth of a tesla, still appears in tables.

