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Do super conductors actually exist? having a wire with 0…

Do super conductors actually exist?

having a wire with 0 resistance would either mean one would be able to pass an infinite amount of electrons (current) through it and have a wire thats infinitely thin still pass current

also using P=I\^2 R formula would imply that any amount of current would result in infinite power.

I don’t get the intuition behind superconductors and i don’t think formulas can model how it actually works which really makes me doubt the existence of one
#science
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