PHY2061 R. D. Field Department of Physics curl_1.doc University of Florida Curl of a Vector FunctionThe curve C is the boundary of the surface S which it spans. Define the circulation Γas the line integral around the closed curve C as follows: ∫⋅=ΓCrdF. Symbols: FGFcurl×∇==)(Definition #1: The component of F×∇in the direction of the unit vector nˆis the limit of the circulation Γper unit area, as the enclosed area goes to zero. ⋅=Γ=⋅×∇∫→→CAArdFAAnF
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