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Homework Statement
In a cubical volume, 1.05 m on a side, the electric field is given by the formula below, where E0 = 1.25 N/C and a = 1.05 m.
The cube has its sides parallel to the coordinate axes, see the figure. Determine the net charge within the cube.
Homework Equations
φe = ∫E⋅dA = qenc/ε0
The Attempt at a Solution
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So I know that I need to calculate the net flux through all the 6 faces of the cube in order to solve for qenc. I know that φ+z and φ-z are equal to 0.
I think I am doing something wrong because it seems like they would cancel out?
φ+x = E0 a2 ∫ (1+z/a) dz
φ-x = -E0 a2 ∫ (1+z/a) dz
φ+y = E0 a2 ∫ (z/a) dz
φ-y = -E0 a2 ∫ (z/a) dz
Also, I would evaluate the integrals from 0 to a right?
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