Electricity & Magnetism
Gauss's Law
Electric flux through closed surface equals enclosed charge / ε₀.
Variables
∮E·dAV·m
Electric flux
Through closed surface
Q_encC
Enclosed charge
Charge inside surface
ε₀F/m
Permittivity
8.85×10⁻¹²
Derivation
One of Maxwell's equations.
Your notes
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Common questions
What is the Gauss's Law formula?
Gauss's Law is written oint E→ ·dA→ = frac{Qₑₙc}{ε₀}. Electric flux through closed surface equals enclosed charge / ε₀. It belongs to Electricity & Magnetism, under Electrostatics.
What are the units in oint E→ ·dA→ = frac{Qₑₙc}{ε₀}?
In SI units, ∮E·dA is electric flux, measured in kg·m³/(A·s³); Q_enc is enclosed charge, measured in A·s; ε₀ is permittivity, measured in A²·s⁴/(kg·m³).
How is the Gauss's Law formula derived?
One of Maxwell's equations. The result is oint E→ ·dA→ = frac{Qₑₙc}{ε₀}.