Suppose the x − y plane is electrically charged with a constant charge density σ.
Find the electric field at a hight h from the x − y plane.Use gauss law
2ES=σSϵ0, ⟹ 2ES=\frac{\sigma S}{\epsilon_0},\implies2ES=ϵ0σS,⟹
E=σ2ϵ0.E=\frac{\sigma}{2\epsilon_0}.E=2ϵ0σ.
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