Magnetostatics studies time-independent magnetic fields and steady currents. In vacuum its field equations are and .
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Magnetostatics is a branch of electromagnetism that studies the magnetic fields produced by steady currents (constant currents that do not change with time) and the effects these fields have on materials in the absence of changing electric fields. It is governed by Maxwell's equations, particularly as they apply to magnetic phenomena, but in a static context where the electric fields do not vary with time.