The addition of infinitesimally small parallel electric and magnetc fields, irrespective of their origin or source, or physical feasibilty; seems to produce a seemingly impossibly large force. Or at least, the result does not sit well with me. It seems too big, but I cannot nail down anything wrong with it from a logical perspective.
Hence, in the Lorentz force equation, is there a limit to how small a electric/magnetic field can be, practicality aside?