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lec04_PyrakNolte

lec04_PyrakNolte - Point Charge in Uniform E...

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Point Charge in Uniform E field (corrected) F = m a = q E a = q m E v x = v 0 x = v 0 t - - - - - - - - - - - - - - - - - - + + ++ + + + + + + ++ + q E v 0 x y = 1 2 a y t 2 = 1 2 q m E x 2 v o 2

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1/18/12 2 E n dA = 1 ε 0 S Q inside Gauss’ Law *relates the electric fields at points on a closed Gaussian surface and the net charge enclosed by that surface. ?
1/18/12 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:

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1/18/12 4 Flux of an Electric Field Gaussian surface of arbitrary shape immersed in a non-uniform electric field
1/18/12 5 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

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1/18/12 6 Gauss’ Law *Relates net flux, , of an electric field through a closed surface to the net charge that is enclosed by the surface. ε o Φ = ε o E d A = q enc
1/18/12 7 Gauss’ Law ε o E d A = q enc - +

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1/18/12 8 Gauss’ Law and Coulomb’s Law Are equivalent and we can derive one from the other.
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lec04_PyrakNolte - Point Charge in Uniform E...

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