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By Gauss's theorem, total electric flux = Total charge inside cube / ε₀. Find ϕ.

1. ϕ = q / ε₀
2. ϕ = q / 6ε₀
3. ϕ = q / 8ε₀
4. ϕ = q / 12ε₀

Correct answer: ϕ = q / ε₀

Solution

According to Gauss's law, the total electric flux through a closed surface is equal to the net charge enclosed divided by ε₀. For a cube, the total flux depends only on the enclosed charge, not the shape of the surface.

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