What does maxwell's equations mean?
Definitions for maxwell's equations
max·well's equa·tions
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Princeton's WordNet
Maxwell's equationsnoun
four differential equations that summarize classical properties of electromagnetic fields
Wikipedia
Maxwell's equations
Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits. The equations provide a mathematical model for electric, optical, and radio technologies, such as power generation, electric motors, wireless communication, lenses, radar etc. They describe how electric and magnetic fields are generated by charges, currents, and changes of the fields. The equations are named after the physicist and mathematician James Clerk Maxwell, who, in 1861 and 1862, published an early form of the equations that included the Lorentz force law. Maxwell first used the equations to propose that light is an electromagnetic phenomenon. The modern form of the equations in their most common formulation is credited to Oliver Heaviside.Maxwell's equations may be combined to demonstrate how fluctuations in electromagnetic fields (waves) propagate at a constant speed in vacuum, c (299792458 m/s). Known as electromagnetic radiation, these waves occur at various wavelengths to produce a spectrum of radiation from radio waves to gamma rays. The equations have two major variants. The microscopic equations have universal applicability but are unwieldy for common calculations. They relate the electric and magnetic fields to total charge and total current, including the complicated charges and currents in materials at the atomic scale. The macroscopic equations define two new auxiliary fields that describe the large-scale behaviour of matter without having to consider atomic-scale charges and quantum phenomena like spins. However, their use requires experimentally determined parameters for a phenomenological description of the electromagnetic response of materials. The term "Maxwell's equations" is often also used for equivalent alternative formulations. Versions of Maxwell's equations based on the electric and magnetic scalar potentials are preferred for explicitly solving the equations as a boundary value problem, analytical mechanics, or for use in quantum mechanics. The covariant formulation (on spacetime rather than space and time separately) makes the compatibility of Maxwell's equations with special relativity manifest. Maxwell's equations in curved spacetime, commonly used in high-energy and gravitational physics, are compatible with general relativity. In fact, Albert Einstein developed special and general relativity to accommodate the invariant speed of light, a consequence of Maxwell's equations, with the principle that only relative movement has physical consequences. The publication of the equations marked the unification of a theory for previously separately described phenomena: magnetism, electricity, light, and associated radiation. Since the mid-20th century, it has been understood that Maxwell's equations do not give an exact description of electromagnetic phenomena, but are instead a classical limit of the more precise theory of quantum electrodynamics.
ChatGPT
maxwell's equations
Maxwell's equations are a set of four fundamental mathematical relationships that describe how electric and magnetic fields interact. They were formulated by the Scottish physicist James Clerk Maxwell in the mid-19th century. These equations, which are written in the terms of differential and integral calculus, play a significant role in the basic laws of physics, including the laws of electricity, magnetism, electromagnetic radiation, and even optics. The equations take into account three key core aspects: Gauss's law for electricity, Gauss's law for magnetism, and Faraday's law of electromagnetic induction and Ampère's law with Maxwell's addition.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of maxwell's equations in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of maxwell's equations in Pythagorean Numerology is: 5
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"maxwell's equations." Definitions.net. STANDS4 LLC, 2024. Web. 18 Apr. 2024. <https://www.definitions.net/definition/maxwell%27s+equations>.
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