I am confused regarding a question about Gauss' law. My confusion arises from a nonuniform charge density within a nonconducting sphere. The question is to find the electric field inside and outside the sphere.
I know that for a uniform charge density that it's a straight forward application of Gauss' law, however, given a function where the charge density varies means that the electric field is not constant and so can't be brought outside of the integral.
Also, outside of the sphere, the enclosed charge is constant and hence I think that this is just the enclosed charge divided by the permittivity of free space.
I know that for a uniform charge density that it's a straight forward application of Gauss' law, however, given a function where the charge density varies means that the electric field is not constant and so can't be brought outside of the integral.
Also, outside of the sphere, the enclosed charge is constant and hence I think that this is just the enclosed charge divided by the permittivity of free space.
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