Outline Area vector Vector flux More problems Solid angle Proof of Gauss’s Law.
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Transcript of Outline Area vector Vector flux More problems Solid angle Proof of Gauss’s Law.
Outline
• Area vector
• Vector flux
• More problems
• Solid angle
• Proof of Gauss’s Law
The flux of E
SdEd
S
s SdE
SdE
More on area vector ….
n
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
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
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
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.
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
S
enclosedQSdE
0
Chasing the tail: Electric field of a single fixed charge
204
1
r
QE
Have a great day!
Please don’t forget your pictures
Hw: All Chapter 4 problems and exercisesReading: Chapter 5