Maxwell's equationsare a set ofpartial differential equationsthat, together with theLorentz forcelaw, form the foundation ofclassical electromagnetism, classicaloptics, andelectric circuits. The equations provide a mathematical model for electric, optical, and radio technologies, such as power generation, electric motors,wirelesscommunication, lenses, radar etc. Maxwell's equations describe howelectricandmagnetic fieldsare generated bycharges,currents, and changes of the fields. One important consequence of the equations is that they demonstrate how fluctuating electric and magnetic fields propagate at the speed of light. Known aselectromagnetic radiation, these waves may occur at various wavelengths to produce aspectrumfromradio wavestoγ-rays. The equations are named after the physicist and mathematicianJames Clerk Maxwell, who between 1861 and 1862 published an early form of the equations that included the Lorentz force law. He also first used the equations to propose that light is an electromagnetic phenomenon.

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