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Optimization of sphere and cyliners (Electrical physics)

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jlee167
#1
Jul18-14, 02:28 AM
P: 1
I recently noticed that I have blindly used optimization in some problems that involve symmetrical insulating/conducting spheres and cylindrical shells.
For example, when calculating outer electric field caused by a spherical insulator/conductor, I just treated these as a simple point charge located at their center, and those ways rendered correct answers. Also, in a question involving an infinite cylindrical shell, (given charge density), I treated it as a simple line charge located at its center, and it also gave me a right answer. However, I am still not convinced how this works mathematically. Is it just a way of simplifying problem for faster calculation, or is there any theorem / definiton that fully explain the validity of this simplification?
I would appreciate some help
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Simon Bridge
#2
Jul18-14, 08:47 AM
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Look up Gausses Law.

You've noticed that the "optimization" only works for simple geometries, and only outside the objects in question.


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