Some questions on superconductors

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Here are some questions on superconductors that I would like ask-
The first one is What are the differences between superconductors and infinite conductors?
 
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What is a infinite conductor? Do you mean a perfect conductor (zero resistivity)?

In that case, the difference is that a superconductor is a perfect conductor that is also a perfect diamagnet (the Meissner effect).
 
A perfect conductor would trap magnetic flux, while a superconductor expels magnetic flux.
 
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