Physics 201- Introduction to Electricity & Magnetism
|September 11- Charged Particles in Electric Fields|
|There is one especially
useful continuous charge distribution- an infinite sheet of charge.
Our text (in examples 23-6 and 23-7) finds that the
field of an infinite sheet is:
where s is the charge density
Notice that field is independent of distance!
In other words, this charge configuration produces a uniform electric field.
Also, we don't have to have a truly infinite sheet,
we can also just be close to a large sheet.
Be careful when working with sheets- for conductors
we will soon see that there is charge on both sides of the sheet.
This means that we have two s/
to the total electric field.
We now see that the way to create uniform electric
fields (for say, smoke precipitators) is to use large parallel plates.
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