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 As a charge is accelerated by a force and increases its speed, it increases its mass relativistically.Since the ratio of E / B determines its speed, B could decrease as the mass increases.This B must be a very short range magnetic field which in a photon is equal in magnitude to the usual magnetic field strength of the photon at a particular point. To be short range the magnetic field must have very high energy and therefore it must be associated with a lot of mass.When a charge increases its mass relativistically, perhaps it gets the relativistic mass from the short range magnetic field which gets weaker in strength with increasing speed.