Electromagnetostatics MOC

Electromagnetostatics is a special case of electrodynamics where the electric field and Magnetic field are time-independent, i.e.

𝜕 ⃗ 𝐁 𝜕 𝑡 = ⃗ 𝟎 𝜕 ⃗ 𝐄 𝜕 𝑡 = ⃗ 𝟎

Electromagnetostatic phenomena are essentially the “direct sum” of electrostatic and magnetostatic phenomena, in that Maxwell’s equations reduce to

⃗ \nabla \cdot ⃗ 𝐄 = 𝜌 𝑞 𝜖 0 ⃗ \nabla \cdot ⃗ 𝐁 = 0 ⃗ \nabla \times ⃗ 𝐄 = ⃗ 𝟎 ⃗ \nabla \times ⃗ 𝐁 = 𝜇 0 ⃗ 𝐉

The Poynting vector and thus momentum density are non-vanishing but static.