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Outline
• Area vector
• Vector flux
• More problems
• Solid angle
• Proof of Gauss’s Law
![Page 3: Outline Area vector Vector flux More problems Solid angle Proof of Gauss’s Law](https://reader035.vdocuments.site/reader035/viewer/2022062314/56649d7f5503460f94a62081/html5/thumbnails/3.jpg)
The flux of E
SdEd
S
s SdE
SdE
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More on area vector ….
n
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Suppose there was an electric field given by
.0 xiEE
What would be the electric flux through a plane with area A if the plane were oriented in the y-z plane at ?0xx
What would be the electric flux if the plane were oriented in the x-z plane at ?0yy
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Suppose there was an electric field given by
yiEE
0
What would be the electric flux through a plane with area A if the plane were oriented in the xz plane at y = y0?
What would be the electric flux if the plane were oriented in the yz plane at x = x0?
Quiz
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Suppose there was an electric field given by
€
rE = α y
r i x
What would be the electric flux through a front side of a cube of side L?
Quiz
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Electric flux through a sphere
A positive point charge q=3.0 C is surrounded by a sphere with radius 0.2 m centered on the charge. Find the electric flux through the sphere due to this charge.
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Definition of a solid angle
S
;2R
S
does not depend on radius
The largest 24 RS
Then
2R
dSd
4
42
2
R
R
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S
enclosedQSdE
0
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Chasing the tail: Electric field of a single fixed charge
204
1
r
QE
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Have a great day!
Please don’t forget your pictures
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