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Gauss’s Law Calculator

Calculate the total electric flux through a closed surface using Gauss’s Law, based on the enclosed charge.

µC

What Is Gauss’s Law?

Gauss’s Law relates the total electric flux passing through a closed surface to the total electric charge enclosed within it. It is one of Maxwell’s four fundamental equations of electromagnetism.

The Formula

Φ = Q_enclosed / ε₀, where Q_enclosed is the net charge inside the closed (Gaussian) surface and ε₀ is the vacuum permittivity (≈8.854 × 10⁻¹² F/m). Notably, the flux depends only on enclosed charge, not on the surface’s exact shape or size.

For general educational purposes.

Last reviewed August 2026