That I get, but I was interested in an explanation of this force.
In the meantime I have figured out how to explain it: The energy of the magnet in the magnetic field from the current is the dot product of the magnetic moment with the magnetic field. And this quantity depends on the...
I have been thinking about a bar magnet and an infinite wire in free space. The wire is positioned below the north pole of magnet and carries a current.
1) The force from the magent on the wire: Due to the magnetic field, the Lorentz force on the electrons in the wire creates a force on the...
Thank you very much. Thats exactly the argument I was missing for why the charge density of the electrons sholud be different in S' (after the current is turned on) from what it was in S.
Just a minor thing: Since the charge density of the electrons is lower in their rest frame than in the...
Thanks. So the argument is right but my assumption was not. Is there any other way (besides using that the net charge density in the rest frame of the conductor is zero) to calculate the charge density of the electrons in their rest frame? So that the neutrality of the wire can be calculated...
Good argument about the total charge. I am still wondering what is wrong with the argument:
If the charge density of the ions in the wire is ro_i and the charge density of the electrons is ro_e = - ro_i then assuming (and this may be wrong) that after current is turned on the charge density...
Thanks for the answer. I agree with you about what happens when we change our velocity with respect to the current carrying wire: The charge distributions change.
But my question is not about what happens when we change our velocity. I am wondering about what happens when we make the...
Do you agree that the charge density of the electrons is increased when they move because of the lorentz contraction? Your answer does not answer why this increase in charge density does not produce a net charge density in the wire.
I am well aware that the same amount of electrons is...
I just read about how a magnetic field for a (neutral) wire with a current can be viewed as an electric field in a moving frame of reference because of lorentz contraction.
I now wonder why starting with a neutral wire without current and stationary electrons a charge is not produced when a...