Section3-2TT - Slide Presentations for ECE 329 Slide...

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Unformatted text preview: Slide Presentations for ECE 329, Slide Presentations for ECE 329, Introduction to Electromagnetic Fields Introduction to Electromagnetic Fields 3.2 Gauss’ Laws and the Continuity Equation 3.2-3 GAUSS’ LAW FOR THE ELECTRIC FIELD D • d S = S ∫ ρ dv V ∫ ∆ z ( x , y , z ) ∆ y ∆ x z y x [ ] [ ] [ ] [ ] x x x x x y y y y y z z z z z D y z D y z D z x D z x D x y D x y x y z ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ∆ ρ ∆ ∆ ∆ + + +- +- +- = 3.2-4 Lim x y z x y z x y z ρ ∆ → ∆ → ∆ → ∆ ∆ ∆ = ∆ ∆ ∆ [ ] [ ] { } { } [ ] [ ] { } +Δ Δ Δ Lim x x x x x y y y y y z z z z z x y z D D y z D D z x D D x y x y z +∆ +∆ ∆ → ∆ → ∆ →- ∆ ∆ +- +- ∆ ∆ ∆ ∆ ∆ 3.2-5 ∂ D x ∂ x + ∂ D y ∂ y + ∂ D z ∂ z Longitudinal derivatives of the components of D 1 2 4 4 4 3 4 4 4 = ρ ∇ • D = ρ Divergence of D = ρ Ex . Given that Find D everywhere....
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Section3-2TT - Slide Presentations for ECE 329 Slide...

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