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# L05 - Lecture 5 Electric Flux and Flux Density Gauss Law...

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LECTURE 5 slide 1 Lecture 5 Electric Flux and Flux Density, Gauss Law Sections: 3.1, 3.2, 3.3 Homework: D3.1, D3.2, D3.3, D3.4, D3.5; 3.3, 3.4, 3.6, 3.9, 3.13

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LECTURE 5 slide 2 charge ‘transfer’ from inner to outer sphere ,C e Q Ψ = Faraday’s Experiment (1837) electric induction : causing charge deposition without contact displacement flux electric flux observations charge on outer sphere is of the same magnitude but opposite sign charge on outer sphere is the same regardless of the insulating material used flux is determined by the charge and does not depend on the medium Q + Q E insulator b a charge on outer electrode is the same regardless of electrode’s shape
LECTURE 5 slide 3 Flux Density and Flux – 1 charge density on inner sphere > charge density on outer sphere in ou 22 44 ss QQ ab ρρ π == flux has direction and density corresponding to the charge polarity and density sn SS Qd s D d s ρ =⇔ Ψ = ∫∫ inner sphere 2 2 4 4 rr DaD a Ψ Ψ= = outer sphere 2 2 4 4 DbD b Ψ = nr DD = S a b

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LECTURE 5 slide 4 Flux Density and Flux – 2 any sphere (the flux density of point charge) 2 22 1 4 44 rr r DrD π Ψ Ψ Ψ= = = Da nr DD = S a b r compare with E of a point charge 2 1 4 r Q r πε =⋅
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L05 - Lecture 5 Electric Flux and Flux Density Gauss Law...

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