If B~1/r(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}, then if we have a simple loop, B near the inner edge of the loop will be infinite (or close to it). Why then, would our flux not be infinite?

I also get infinity if I take

∫ ∇ X A *da =∫B*da =∫(closed)A*dl

Since A ~1/r and r~0 at the limit of our surface integral.

I know I am missing something simple here, help! If possible, show where I'm wrong in both of my attempts.

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# Why isn't the magnetic flux of a loop infinite?

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