Lets say we have an infinite charged wire with a line charge [itex] \lambda [/itex] on it. Now when I move with respect to this wire the E field will increase do to length contraction. And there will also be a B field that we could calculate with ampere's law. But the increased E would make it seem that there is more total charge. Because the E field exists every where in space at a stronger strength. Is this only because we have an infinite wire that this is happening?