ZapperZ said:
You are going all over the place, as if you're shooting in the dark and hoping to hit something. This is getting to be a waste of time.
Zz.
Zapper commented the above when I mentioned "skin effect"... but cyro's comment "If you want a really precise answer: Mattis-Bardeen theory".. but Mattis-Bardeen theory is related to skin effect.. from wiki:
"The
Mattis–Bardeen theory is a theory that describes the electrodynamic properties of
superconductors. It is commonly applied in the research field of optical spectroscopy on superconductors.
Introduction[edit]
The Mattis–Bardeen theory
[1] was derived to explain the anomalous skin effect of
superconductors. Originally, the anomalous skin effect indicates the non-classical response of metals to high frequency electromagnetic field in low temperature, which was solved by R. G. Chambers.
[2] At sufficiently low temperatures and high frequencies, the classically predicted skin depth (
normal skin effect) fails because of the enhancement of the mean free path of the electrons in a good metal. Not only the normal metals, but superconductors also show the anomalous skin effect which has to be considered with the
theory of Bardeen, Cooper and Schrieffer. "
Now about AC resistivity of superconductors:
https://sites.google.com/site/puenggphysics/home/unit-5/superconductors
"9. AC Resistivity: The current in a superconductor in normal state is carried by normal electrons only. When the material changes from normal state to superconducting state, then few normal electrons are converted into super electrons which carry dc current in superconducting state without any electrical resistance. If a constant dc current is flowing in a superconductor, there is no resistance in the material; hence, no electric field in the material. If we apply dc voltage source to a superconductor [below
TC], then current will not increase suddenly but at the rate at which the electrons accelerate in the electric field. This indicates the presence of electric field in the material. If we apply ac voltage source to the superconductor, then the superelectrons accelerate in the forward and backward direction; they lag behind the field because of inertia. Also under ac fields, current is carried not only by superelectrons but also by normal electrons; this adds resistance to superconductor [below
TC]. Under high frequency ac voltages, a superconductor behaves as a normal material because under ac voltages, electric field exists in the material that excites superelectrons to go into higher states where they behave as normal electrons."
Isn't this "they lag behind the field because of inertia" is related to impedance?
https://link.springer.com/article/10.1007/BF00618215
https://en.wikipedia.org/wiki/Electrical_impedance
"Electrical impedance is the measure of the opposition that a
circuit presents to a
current when a
voltage is applied. The term
complex impedance may be used interchangeably. "
In my reply to Zapper, I mentioned skin effect and inductance. And he commented I'm shooting in the dark and hoping to hit something. So if it's not skin effect and impedance or inductance.. then what exactly has Zapper in mind of the cause of non-zero AC resistivity in superconductors??