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## Main Question or Discussion Point

What is the relation between the flux through a given surface by a vector field? And how does stokes theorem relate to the line integral around a surface in that field

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What is the relation between the flux through a given surface by a vector field? And how does stokes theorem relate to the line integral around a surface in that field

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HallsofIvy

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[tex]\int\int_S \vec{F}\cdot d\vec{S}[/tex]

And Stokes' theorem say, specifically, that that is equal to

[tex]\int_{c} \nabla\times\vec{F}\cdot d\vec{r}[/tex]

Where c is the closed path bounding surface S.

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