L9-page5 - ∂ ∂ ∂ ∂ Governing Equation 2 2 2 r y x...

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5 Governing Equation 0 z z j y y j x x j 0 j z z j j j y y j j j x x j j z y x z z z y y y x x x = = + + Continuity: What goes in must comes out r j = r i A Current Density (like hydro q): z x y x z y j y + j y y y j y z j x j y y j j z z + y y j j x x + Applying Ohm’s Law: z V 1 j ; y V 1 j ; x V 1 j z y x ρ = ρ = ρ = equation s LaPlace' 0 V 0 z V r V r 1 r V 0 z V y V x V 2 2 2 2 2 2 2 2 2 2 2 = = + + =
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Unformatted text preview: + ∂ ∂ + ∂ ∂ Governing Equation 2 2 2 r y x and , sin r = y , cos r = x using or z V 1 z y V 1 y x V 1 x = + θ θ = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ∂ ∂ ρ ∂ ∂ + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ∂ ∂ ρ ∂ ∂ + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ∂ ∂ ρ ∂ ∂...
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This note was uploaded on 01/07/2012 for the course PHYSICS 384 taught by Professor Wei during the Spring '09 term at SUNY Stony Brook.

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