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Electrons are round!
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aetherist:

--- Quote from: TimFox on August 13, 2023, 11:46:45 pm ---Once again, if electricity “hugs the surface” of a wire, then why does the DC conductance (reciprocal of resistance) scale with the cross-sectional area, not the circumference?

--- End quote ---
Interesting -- are there good measurements?
On the other hand -- why are lightning down conductors often flat strap?
aetherist:

--- Quote from: G7PSK on July 07, 2023, 03:46:58 pm ---New measurements on roundness of electrons.
https://www.sciencenews.org/article/electron-round-new-measurement-matter-physics

--- End quote ---
An electron in an atom is a photon orbiting/hugging the nucleus. Best call this an elektron.
We dont know the 3D size/shape/dimensions of a photon(s).
And, an elektron would form a loop (the head chasing its tail). And, the loop would trace out a spherical path over time (as the loop wanders), but i daresay that-there sphere might not have a single fixed radius, it might be a fuzzy sphere.
CatalinaWOW:
Interesting how the dipole moment is conflated with physical shape.  I have no idea if an electron has a physical shape, but just for a thought experiment can any of you imagine a perfect sphere of alnico or other magnetic material.  In spite of its sphericity it has a strong magnetic dipole.
TimFox:

--- Quote from: aetherist on August 14, 2023, 12:40:38 am ---
--- Quote from: TimFox on August 13, 2023, 11:46:45 pm ---Once again, if electricity “hugs the surface” of a wire, then why does the DC conductance (reciprocal of resistance) scale with the cross-sectional area, not the circumference?

--- End quote ---
Interesting -- are there good measurements?
On the other hand -- why are lightning down conductors often flat strap?

--- End quote ---

One of a myriad of sources for resistance of copper wire:  do the math.
https://commons.wikimedia.org/wiki/File:Copper_cable_resistance.jpg

Edit:  please ignore the chart in that file, and consult the one cited below.
aetherist:

--- Quote from: TimFox on August 14, 2023, 03:33:06 am ---
--- Quote from: aetherist on August 14, 2023, 12:40:38 am ---
--- Quote from: TimFox on August 13, 2023, 11:46:45 pm ---Once again, if electricity “hugs the surface” of a wire, then why does the DC conductance (reciprocal of resistance) scale with the cross-sectional area, not the circumference?

--- End quote ---
Interesting -- are there good measurements?
On the other hand -- why are lightning down conductors often flat strap?

--- End quote ---

One of a myriad of sources for resistance of copper wire:  do the math.
https://commons.wikimedia.org/wiki/File:Copper_cable_resistance.jpg

--- End quote ---
I did the math. That/there chart says that resistance decreases with radius R in a linear way.
The circumference of round wire increases in a linear R way with radius.
The area of a round wire increases in an RR way.
Hence area has nothing to do with resistance.
Circumference has everything to do with resistance.
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