Maxwell’s Equations in Mathematical Symbols
Maxwell’s Equations in EnglishIf the strength and direction of the electric and magnetic fields are viewed as velocity vectors, like the wind velocity arrows on a weather map:
- The flux or flow outwards of the electric field—the divergence—is proportional to the density of electric charge.
- The magnetic field has no sources or sinks anywhere—no divergence—no magnetic charges.
- The rate of rotation and direction of the rotation axis of the electric field at any point (the curl of the field) is proportional to and in the opposite direction from the rate of change of the magnetic field with time.
- The rate of rotation and direction of the rotation axis of the magnetic field at any point (the curl of the field) is proportional to and in the same direction as the rate of change of the electric field with time plus the current density (current per area).