Lorentz Force in Terms of Potentials
See also: Mathematical descriptions of the electromagnetic field, Maxwell's equations, and Helmholtz decompositionThe E and B fields can be replaced by the magnetic vector potential A and (scalar) electrostatic potential ϕ by
where ∇ is the gradient, ∇• is the divergence, ∇ × is the curl.
The force becomes
and using an identity for the triple product simplifies to
Read more about this topic: Lorentz Force
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