Electric Field – 1/8 of Sphere

1. The problem statement, all variables and given/known data
Calculate the intensity of the electric field (in the origin of cartesian axes) created by 1/8 of a certain sphere charged with density of charge equal σ.

[tex]\frac{{\sigma \sqrt 3 }}{{16{\varepsilon _0}}}[/tex]

2. Relevant equations
E = KQ/R²
Flux = Q/ε
E.A = Q/ε

3. The attempt at a solution

Well, I tried to calculate the electric flux in 1/8 of the sphere (see figure). Then, knowing the area of 1/8 sphere, we could calculate the electric field using gauss law. But, after all, the answer of the problem is different.


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