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## Main Question or Discussion Point

The equation of motion for q in a static E is given by:

[tex] d/dt \gamma mv = qE [/tex]

Some textbooks use the above equation in deriving Maxwell's equtions, but is there a way of deriving this equation from elementary assumptions such as Newton's law in q's frame and Coulomb's law?

Thanks.

[tex] d/dt \gamma mv = qE [/tex]

Some textbooks use the above equation in deriving Maxwell's equtions, but is there a way of deriving this equation from elementary assumptions such as Newton's law in q's frame and Coulomb's law?

Thanks.