Unformatted text preview: ) , , ( z y x F , F g ⋅ ∇ = . Then g(x,y,z) is the divergence of the gradient of f(x,y,z) as follows: f f g 2 ∇ = ∇ ⋅ ∇ = In cartesian (or retangular) coordinates: z z y y x x ∂ ∂ + ∂ ∂ + ∂ ∂ = ∇ ˆ ˆ ˆ 2 ∇ = ∇ ⋅ ∇ 2 2 2 2 2 2 2 z y x ∂ ∂ + ∂ ∂ + ∂ ∂ = ∇ 2 2 2 2 2 2 2 z f y f x f f g ∂ ∂ + ∂ ∂ + ∂ ∂ = ∇ = Closed Surface S Volume V enclosed by surface S Laplacian Operator Scalar f(x,y,z) Laplacian Operator Scalar g(x,y,z) Divergence Theorem...
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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.
 Spring '08
 FRY
 Physics

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