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Then there's the whole problem that if you take two moving point charges
(q1 and q2) with non-parallel velocities (v1 and v2), Newton's 3rd Law
doesn't work for the Lorentz forces they exert on each other if you
calculate the B-field using the Biot-Savart Law. The force on q2 will
have a component in the v1 direction and the force on q1 will have a
component in the v2 direction....impossible to be opposite in the
general case.
Is there a way to make N3L work in this classical situation?