Lecture-3-01-22-08 - Lecture-3 Gauss's Law Flux of Lines of...

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1 Lecture-3 Gauss’s Law Flux of Lines of Force Total flux is conserved for a charge enclosed inside a closed surface. θ cos EdA A d E d = = Φ r r
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2 Example of Total Flux Calculation Or, r r Q E o ˆ 4 1 2 πε = r A d r r Q A d E o r r r = = Φ ∫∫ ∫∫ ˆ 4 1 2 Flux of Electric Field: o o o EA o Q d Q d d Q d r rd r Q ε μ π θ ϕ ππ = = = Φ = Φ ∫∫ + 1 1 2 00 2 0 2 0 2 4 sin 4 ) sin )( ( cos 4 1 Reason why total flux is zero when surface does not contain any charge: all incident lines of force leave closed surface.
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3 Total Charge within Gaussian surface is: zero Relationship of electric field to field lines E (areal density of lines of force) enclosed o o Q A d E d A d E ∫∫ ∫∫∫ ∫∫ = = 1 1 ε τ ρ r r r r Gauss’s Law + Q on the left and – Q on the right zero
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4 Calculation of Electric field of a line charge Two ways : by summing over charge element s by Gauss’s law ( ) r y x dy E d o P ˆ 4 1 2 2 2 + = λ πε r Then o o l d A d E
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This note was uploaded on 02/20/2008 for the course PHYSIC 2 taught by Professor Kim during the Spring '08 term at Lehigh University .

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Lecture-3-01-22-08 - Lecture-3 Gauss's Law Flux of Lines of...

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