Electricity & Magnetism

Gauss's Law

\oint \vec{E} \cdot d\vec{A} = \frac{Q_{enc}}{\varepsilon_0}

Electric flux through closed surface equals enclosed charge / ε₀.

Variables

∮E·dA

Electric flux

Through closed surface

V·m

Q_enc

Enclosed charge

Charge inside surface

C

ε₀

Permittivity

8.85×10⁻¹²

F/m

Derivation

One of Maxwell's equations.

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