Lecture21

# Lecture21 - 1 Lecture 21 Chapter 22 Patterns of Field in...

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Unformatted text preview: 1 Lecture 21 Chapter 22. Patterns of Field in Space Gauss’ Law 4/5/11 2 Gauss’ Law *relates the electric fields at points on a closed Gaussian surface and the net charge enclosed by that surface. ? 4/5/11 3 Concept of Flux v Air stream with uniform velocity, v , flows through a loop of area A Φ = volume time can define a flux: 4/5/11 4 Flux of an Electric Field Gaussian surface of arbitrary shape immersed in a non-uniform electric field 2 Perpendicular field θ cos ˆ AE A n E Δ = Δ ⋅ ⊥ Δ = Δ ⋅ AE A n E ˆ Perpendicular area θ θ cos cos ˆ y x E A E A n E Δ Δ = Δ = Δ ⋅ x y ⊥ Δ = Δ ⋅ A E A n E ˆ Electric Flux: Perpendicular Field or Area q 4/5/11 6 Example: Flux through a Cube Consider a uniform electric field oriented parallel to the x - direction. Find the net flux through the surface of a cube of edge L oriented as shown. y E x z 4/5/11 7 Gauss’ Law ε o E • ˆ ndA ∫ = q enc + - Gauss’s Law: Superposition 3 ˆ ε...
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Lecture21 - 1 Lecture 21 Chapter 22 Patterns of Field in...

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