l06 gauss post
TRANSCRIPT
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LECTURE 6 slide 1
Lecture 6
Divergence, Gauss Law in
Differential Form
Sections: 3.4, 3.5, 3.6, 3.7
Homework: D3.6, D3.7, D3.8, D3.9; 3.15, 3.17, 3.19, 3.21,
3.25, 3.27
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LECTURE 6 slide 2
flux is the net normal flow of the vector field F through a surface
Flux 1
flux is positive when flow is outward and negative when flow is
inward
cosS S
d F ds = = F s
total flux implies integration over a closed surface
cosS S
d F ds = = F sw w
F is called the density of the flux
cos F n = a a
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LECTURE 6 slide 3
Flux 2
flux lines show the direction and density of the flux
ds
n
a
F
high density
low density
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LECTURE 6 slide 4
Flux Examples
0 ? =
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LECTURE 6 slide 5
Total Flux
Flux through a closed surface is a measure of the fields
sources in the enclosed volume.
S
d = F sw
0 =
source(positive flux) sink
(negative flux)no source(zero net flux)
0 > 0