Discussion
Stokes's theorem states that the circulation of a field round a closed curve equals
Answer: C
The theorem reads
\[ \oint_{C} \mathbf{F} \cdot d\mathbf{r} \;=\; \iint_{S} (\nabla \times \mathbf{F}) \cdot \mathbf{n}\,dS. \]
That the surface may be any one spanning the curve follows because the curl is solenoidal, so its flux depends only on the boundary. It also explains at once why an irrotational field has zero circulation
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