Just a couple quick conceptual questions about Stokes' Theorem (maybe this belongs in the non-homework math forum?). Does Stokes' theorem say anything about circulation in a field for which the curl is zero? I would think that all it says is that there is no net circulation. Also, if(adsbygoogle = window.adsbygoogle || []).push({}); Fis a differentiable vector field defined in a region containing a smooth closed surfaceS, whereSis the union of two surfacesS1andS2, what can be said about

[tex]\iint_S \nabla \times \mathbf{F} \cdot \mathbf{n} d\sigma[/tex]

?

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# Stokes' Theorem questions

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