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  "body": "\n## Summary\n\nMaxwell's equations are four partial differential equations that govern the electric field $E$ and the magnetic field $B$.\nThey relate the fields to their sources, the electric charge density and the current density.\nThey unify electricity, magnetism and light, since in vacuum each field component solves the [[wave equation|5EHD2XBQDG]] with the speed of light.\nThey form a linear first-order system and are a basic model for hyperbolic systems in mathematical physics.\n\n## Explanations\n\n### L1 human\n\nElectric charges create electric fields, and there are no magnetic charges.\nA magnetic field that changes in time creates a circulating electric field, which is how a generator works.\nAn electric current, or an electric field that changes in time, creates a circulating magnetic field.\nThese four rules feed each other, so a disturbance in the fields travels through empty space as a wave: this wave is light.\n",
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