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I'm working on obtaining an equation that will help me model the behavior of velocity as a response to the current flowing to a coil in a MagLev. I have tried to relate momentum and electromagnetic momentum:

m*v=F*Δt

F=q(E+ v X B)

V= (q(E+ v X B) Δt)/m

Am I going the right way? I am considering ignoring the geometry of the train and consider it as a point. Any help will be very appreciated.