Basic Object #3: A plane of infinite area carrying a surface charge density o find E at the indicated field point.
Basic Object #3: A plane of infinite area carrying a surface charge density o find E at the indicated field point.
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Transcribed Image Text:Gauss' Law:
Spheres
Infinite lines and cylinders
Infinite planes and slabs
That's it!
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Basic Object #1: A solid sphere of radius R carrying a volume
charge density p > find E at the indicated field point.
Basic Object #2: An infinitely long line carrying a line
charge density = find E at the indicated field point.
Basic Object #3: A plane of infinite area carrying a surface
X.
r
charge density o find E at the indicated field point.
But remember, when using Gauss' law it is important to be able to state that points on your Gaussian surface
look exactly the same as other points. Charges outside your Gaussian surface will have their flux cancel out
over the entire surface, but not in a uniform fashion. So the total electric field on your surface can vary due to
outside charges. (We were lucky in our earlier sheets and plates that we recognize that the effects from the
sheets outside are the same on each of our surfaces, and canceled each other out. That does not happen often.)
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