description Maxwell's equations Overview
Maxwell's equations are a set of four fundamental equations that describe the behavior of electric and magnetic fields and their interactions with matter, unifying electricity, magnetism, and light.
help Maxwell's equations FAQ
What are Maxwell's equations?
Maxwell's equations are four equations describing electric fields, magnetic fields, charges, and currents. James Clerk Maxwell published the unified theory in the 1860s, showing that light is an electromagnetic wave.
What are the four laws inside Maxwell's equations?
They are Gauss's law for electricity, Gauss's law for magnetism, Faraday's law of induction, and the Ampere-Maxwell law. Together they describe how fields are produced and how changing fields generate each other.
Why did Maxwell add the displacement current?
Maxwell added the displacement current term to Ampere's law so the equations worked for changing electric fields, such as inside a charging capacitor. That correction made electromagnetic waves mathematically possible.
How did Maxwell's equations influence modern technology?
They are the foundation for radio, antennas, radar, fiber optics, electric motors, and wireless communication. Heinrich Hertz experimentally confirmed electromagnetic waves in the 1880s.
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