Unformatted text preview: ∇ − = ! ! and = ⋅ ∇ E ! ! so that ) ( = ∇ − ⋅ ∇ V ! ! or 2 2 2 2 2 2 2 − = ∂ ∂ + ∂ ∂ + ∂ ∂ = ∇ z V y V x V V . Laplace’s Equation Whenever = , that is, in all parts of space containing no electric charge the electric potential must satisfy, 2 2 2 2 2 2 2 = ∂ ∂ + ∂ ∂ + ∂ ∂ = ∇ z V y V x V V . Any Closed Surface S E Gauss’ Law Laplace’s Equation Poisson’s Equation...
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 Spring '08
 FRY
 Physics, Charge

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