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I'm asked to derive an expression for the drift velocity of a particle in a constant uniform E-field, and a slowly time-varying B-field.

I've looked at a few books to see if I can even find the final result, so I have an idea what I'm shooting for, but every resource only seems to use the "time-varying B-field" case as a means to talk about the adiabatic invariance of a particles magnetic moment.

Does anyone know how I should be going about this problem? I really have no clue.