So if we have a large sheet that is not uniformly charged and is NOT a conductor, how can I find an expression for the electric field everywhere?
Things we know about the sheet:
the width is 2b
it is lying on the yz plane (centered at the origin)
the charge density varies as ρ = ρ(0)(x/b)^2
ρ(0) is constant
I'm not sure if I can actually use Gauss' law because there's not the same symmetry as if it was uniformly charged. Is there some other law of electricity or formula that exists? How do I go about tackling this problem?
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