notes12 2317 - ECE 2317 ECE Applied Electricity and...

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Prof. David R. Jackson ECE Dept. Spring 2011 Notes 12 ECE 2317 ECE 2317 Applied Electricity and Magnetism Applied Electricity and Magnetism
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Example Example y x 0 B s ρ 0 A s x = - d/ 2 x = d/ 2 (a) x > d/ 2 0 0 0 0 2 2 A B s s x E ε = + (c) x < -d/ 2 (b) -d/ 2 < x <d/ 2 0 0 0 0 2 2 A B s s x E = - 0 0 0 0 2 2 A B s s x E = - -
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Example (cont.) Example (cont.) (a) x > d/ 2 0 x E = (c) x < - d/ 2 (b) -d/ 2 < x < d/ 2 0 0 s x E ρ ε = 0 x E = Choose: 0 0 0 0 A B s s s s = = - y x x = - d/ 2 x = d/ 2 0 s 0 s -
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Example (cont.) Example (cont.) 0 0 s x E ρ ε = -d/ 2 < x < d/ 2 Ideal parallel-plate capacitor 0 s - 0 s y x h
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Perfect Electric Conductors (PEC) Perfect Electric Conductors (PEC) σ [S/m] J E = A B 0 B AB A V E dr = = PEC: Also, Φ = constant 0 E = since (Ohm’s law) σ→ ∞
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Perfect Electric Conductors (cont.) Perfect Electric Conductors (cont.) Inside PEC: Proof: Assume a point inside where ρ v > 0 v = 0 Only s on the surface is allowed. S v > 0 inside small volume ˆ 0 0 encl S encl D n dS Q Q = = Ñ Contradiction ! + + + + + + +
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Perfect Electric Conductors (cont.) Perfect Electric Conductors (cont.) Inside of a hollow PEC shell there is no electric field. Only ρ s on the outer surface is allowed. PEC shell + + + + + + + + + + + + E = 0 + This is the “Faraday-cage effect.”
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Perfect Electric Conductors (cont.) Perfect Electric Conductors (cont.) Faraday-cage effect He is safe from the Tesla coil!
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Perfect Electric Conductors (cont.) Perfect Electric Conductors (cont.) Faraday-cage effect Entrance to a Faraday room Faraday shield at Art Nouveau power plant in Heimbach, Germany
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Perfect Electric Conductors (cont.) Perfect Electric Conductors (cont.) Proof: Assume an electric field exits inside the shell at some point PEC shell A flux line must exist through this point.
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This note was uploaded on 08/05/2011 for the course ECE 2317 taught by Professor Staff during the Spring '08 term at University of Houston.

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notes12 2317 - ECE 2317 ECE Applied Electricity and...

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