Gauss's Law Calculator

Find the electric flux through a surface enclosing a charge.

Electric flux (V·m) 112,940.91

Formula: Φ = Q ÷ ε₀

Step-by-step with your numbers:
1. Values used:
2. Enclosed charge = 0 C
3.
4. Electric flux = 112,940.91V·m
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Gauss's law relates the electric flux through a closed surface to the charge inside.

The math behind it

Φ = Q_enclosed ÷ ε₀, where ε₀ is the vacuum permittivity. The shape of the surface doesn't matter.

Worked example

1 µC enclosed → flux ≈ 1.13 × 10⁵ V·m.

FAQ

Does external charge contribute?

No — only charge inside the closed surface affects the net flux.