Gauss's Law for Electricity

Electrical Engineering

How It Works

Gauss's Law for Electricity, the first of Maxwell's four equations, relates the spatial distribution of electric charge to the resulting electric field geometry. The total outward electric flux passing through any arbitrary closed Gaussian surface is strictly proportional to the total net electric charge enclosed within that volume, regardless of how that charge is configured. By exploiting spherical, cylindrical, or planar symmetries, Gauss's law provides an elegant method to calculate electrostatic fields.

Governing Equation
Φ_E = ∮_S E · dA = Q_enc / ε₀   |   ∇ · E = ρ / ε₀