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Cube has 6 faces. Flux through any face is given by ϕ = q / 6ε₀. Find total flux out of all six faces as per Gauss's theorem.

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 theorem, the total electric flux through a closed surface is equal to the net charge enclosed divided by ε₀. Since the cube is a closed surface, the total flux is ϕ = q / ε₀, regardless of how it is distributed among the faces.

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