Maxwell’s equations

Gauß’s law for magnetic flux

Gauß’s law for magnetic flux is essentially the statement that there are no magnetic monopoles, so for any solid Ω

⊂⊃∬𝜕Ω⃗𝐁⋅𝑑⃗𝐚=0

and equivalently by Острогра́дский’s divergence theorem

⃗∇⋅⃗𝐁=0

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