Curl_2 - PHY2061 R D Field Stokes Theorem Stokes Theorem Surface S F dA = F dr S Boundry Curve C Proof(sketch C Closed Curve C Surface bounded by

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PHY2061 R. D. Field Department of Physics curl_2.doc Univesity of Florida Stokes’ Theorem Stokes’ Theorem: = × C r d F A d F ) ( Proof ( sketch ): × × = Γ = = Γ = = S A N N i i i N i i i i C A d F n F A A A r d F i ) ( ˆ ) ( 0 1 1 In cartesian (or retangular) coordinates: z z y y x x + + = ˆ ˆ ˆ z y x F F F z y x z y x F G
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This note was uploaded on 10/17/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.

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