Electromagnetism

Maxwell's Equations

Differential Equations

Gauss's Law

∇ · e = ρ / ε

₀.

Gauss's Law for Magnetism

∇ · b = 0.

Maxwell–Faraday Equation (Faraday's Law of Induction)

∇ × e = -∂e / ∂t.

Ampère's Circuital Law (with Maxwell's Addition)

∇ × b = μ

₀ (J + ε₀ ∂e / ∂t).

Differential Forms

F = 0, dF = 0, F = dA, d* A = 0.

References