Per Oni said:
Hans de Vries said:
First of all. The effect at low speed is almost all due to non-simultaneity
rather than to due to Lorentz contraction
Which effect are you pointing at?
I'm talking about the magnetic force F = v x B
Per Oni said:
Hans de Vries said:
The magnetic force is linear in the velocity while Lorentz contraction is approximately quadratically
dependent on the velocity.
True but what is the reason you mention this?
Because the magnetic force F = v x B is linear in v and not quadratic.
This is because what I said: The effect of non-Simultaneity is
linear while
the effect of Lorentz contraction is
quadratic (at low speeds)
The wire becomes electrically charged because of non-simultaneity.
More
electrons enter the wire at one side while
less exit at the other side. This is
a linear effect at low speeds where \gamma \approx 1
At drift speeds of 1 mm/s the length contraction can be
neglected compared
to the effect due to non simultaneity.
Per Oni said:
In section 2 you assume that the electrons have the same density as the ions at all speeds
and then you go to great lengths to prove that therefore the electrical fields around the
wire are the same.
Yes, it is far from obvious that equal-density means equal-fields. The shape
of the fields of the individual electrons change at different speeds. The total
field does not change.
About the
neutrality of the wire:
The (average) voltage of the wire is determined by the experimenter. If he
puts 1000.0 V at one end and 1000.1 V at the other end then the wire is not
neutral but has a voltage of ~1000 V.
The voltage of the wire, and it being neutral in the rest frame is a boundary
condition determined by the experimenter, ignoring the voltage difference
between both end which causes the current. Regards, Hans