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curl_1 - PHY2061 R D Field Curl of a Vector Function n...

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PHY2061 R. D. Field Department of Physics curl_1.doc University of Florida Curl of a Vector Function The curve C is the boundary of the surface S which it spans. Define the circulation Γ as the line integral around the closed curve C as follows: = Γ C r d F . Symbols: F G F curl × = = ) ( Definition #1: The component of F × in the direction of the unit vector n ˆ is the limit of the circulation Γ per unit area, as the enclosed area goes to zero. = Γ = × C A A r d F A A n F
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