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Topic: Maxwells equations


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In the News (Tue 23 Jul 19)

  
  Maxwell's equations
Maxwell's equations are the set of four equations by James Clerk Maxwell that describe the behavior of both the electric and magnetic fields.
Maxwell's equations provided the basis for the unification of electric field and magnetic field, the electromagnetic description of light, and ultimately, Albert Einstein's theory of relativity.
Maxwell discovered that this quantity c is simply the speed of light in vacuum, and thus that light is a form of electromagnetic radiation.
www.ebroadcast.com.au /lookup/encyclopedia/ma/Maxwells_equations.html   (1488 words)

  
 NationMaster - Encyclopedia: Lorentz factor
Equations Special relativity (SR) or the special theory of relativity is the physical theory published in 1905 by Albert Einstein in his article On the Electrodynamics of Moving Bodies.
The Lorentz transformations are a general group of equations that comprise a four-dimensional transformation, a transformation that involves the three-dimensions of space and time as the fourth dimension, that is satisfied by all four-vectors, a four-element vector.
To formulate the transformations Lorentz made two assumptions: that the speed of light was a constant for any observers regardless of their respective motions, and that the transformation between observers in different inertial frames of reference is linear.
www.nationmaster.com /encyclopedia/Lorentz-factor   (759 words)

  
 Maxwells equations - ExampleProblems.com   (Site not responding. Last check: 2007-10-18)
Maxwell's equations are the set of four equations, attributed to James Clerk Maxwell (written by Oliver Heaviside), that describe the behavior of both the electric and magnetic fields, as well as their interactions with matter.
Maxwell, in 1864, was the first to put all four equations together and to notice that a correction was required to Ampere's law: changing electric fields act like currents, likewise producing magnetic fields.
Maxwell's equations are generally applied to macroscopic averages of the fields, which vary wildly on a microscopic scale in the vicinity of individual atoms (where they undergo quantum mechanical effects as well).
www.exampleproblems.com /wiki/index.php/Maxwells_equations   (2912 words)

  
 Wikinfo | Maxwell's equations
Maxwell's equations provided the basis for the unification of electric field and magnetic field, the electromagnetic description of light, and ultimately, Theodor Kaluza's unification (Kaluza-Klein theory) of electromagnetism with Albert Einstein's theory of relativity.
(Maxwell's 1865 formulation was in terms of 20 equations in 20 variables, although in 1873 he attempted a quaternion formulation that he ultimately found awkward.) The change to the vector notation produced a symmetric mathematical representation that reinforced the perception of physical symmetries between the various fields.
It is important to note that Maxwell's equations are generally applied to macroscopic averages of the fields, which vary wildly on a microscopic scale in the vicinity of individual atoms (where they undergo quantum mechanical effects as well).
wikinfo.org /wiki.php?title=Maxwell's_equations   (1836 words)

  
 Maxwell's equations - Wikipedia, the free encyclopedia
In electromagnetics, Maxwell's equations are a set of four equations, developed by James Clerk Maxwell, that describe the behavior of both the electric and magnetic fields, as well as their interactions with matter.
Maxwell, in his 1864 paper A Dynamical Theory of the Electromagnetic Field, was the first to put all four equations together and to notice that a correction was required to Ampere's law: changing electric fields act like currents, likewise producing magnetic fields.
The second equation is an expression of the homogenous equations, Faraday's law of induction and the absence of magnetic monopoles.
en.wikipedia.org /wiki/Maxwell's_equations   (3627 words)

  
 SIGHTINGS:
Perhaps the most blatant and far reaching alteration of data was the alteration of Maxwell's equations.
The equations also included transformations that enabled the change from inertial frames of reference to non-inertial frames of reference.
Heaviside wrote a subset of Maxwell's equations where this capability is excluded.
www.rense.com /political/weapons/milweapon.htm   (1815 words)

  
 Electromagnetism: Maxwell's Equations and their Solutions - Numericana
Paradoxically, this whole mess comes from a great clarification of Maxwell's: The ratio of the emu value to the esu value of a given field is equal to the speed of light (c = 299792458 m/s).
Since Maxwell's equations assert that the divergence of B vanishes, there is necessarily a vector potiental A of which B is the rotational (or curl).
The two Maxwell equations which don't involve electromagnetic sources are equivalent to the above definitions of E and B in terms of electromagnetic potentials.
home.att.net /~numericana/answer/maxwell.htm   (3825 words)

  
 Electromagnetism
Over a hundred years later, the Maxwell equations are the cornerstone of antenna theory, optics, physical chemistry and lie at the very root of most physical phenomena we perceive.
Maxwell originally used many equations, including expressions in quaternion mathematics when he correctly proved magnetism and light to be aspects of the same force, in his paper "A Dynamical Theory of the Electromagnetic Field" in October of 1864.
Maxwell himself emphasized the idler notion was not to be taken literally, but was necessary for visualizing a valid mathematical concept.
www.sgha.net /articles/electros.html   (3106 words)

  
 The Einstein-Schrodinger Theory
This results at first in an equation involving G (the scalar derived from the Einstein tensor) and the Ricci tensor and the scalar curvature R. And G, being the scalar trace of the Einstein tensor, can be expressed in term of R but this expression involves the number of dimensions, n.
Maxwell's equations are the field equations which describe the allowed values of the electromagnetic field.
This equation (E) is exactly the equation allowing me to calculate the temporal variations of the Poynting's vector making use of the Maxwell's equations in vacuum to get a dynamic equation valid for the vacuum...
www.physicsforums.com /showthread.php?t=26367   (2649 words)

  
 Reviews of 'Electricity and Magnetism, Vol. II'
A nice digression on AC currents is explored and he then introduces induction as a prerequisite for modifying maxwells equations.
He then shows that something is wrong with 2 of the equations above by showing that conservation of electric charge (written in differential form) leads to a contradiction in the above equations.
A solution to maxwells equations is found resulting in the electromagnetic wave we hear so much about.
www.usingenglish.com /amazon/us/reviews/0070049084.html   (492 words)

  
 The Wallace Inventions, Spin Aligned Nuclei, The Gravitomagnetic Field, And The Tampere Experiment: Is There A ...
In 1961, Forward (7) was the first to express the gravitational field equations in a vector form directly analogous and nearly identical to Maxwells equations for electromagnetics.
Just as in Maxwells equations for electromagnetics, it is found that in the presence of a time varying gravitomagnetic flux there will always exist concurrently a time varying gravitoelectric field.
The equations are given in a form where the gravitomagnetic permeability of a superconductor material is presumed to be different than the permeability of free space.
www.padrak.com /agn/WALLACE.html   (3321 words)

  
 Problems
Starting from Maxwell's equations, we are asked to introduce the electromagnetic potentials and derive the differential equation that they satisfy.
We are supposed to manipulate Maxwell's equations to derive the charge conservation theorem and the wave equation for E and B.
We are explicitly instructed to use Maxwell's equations to convert the expression obtained in part (a) into one that contains the fields alone.
electron9.phys.utk.edu /phys514/modules/module2/problems2.htm   (1750 words)

  
 More on Maxwell's Equations
Maxwell's equations are the set of four equations, attributed to James Clerk Maxwell, that describe the behavior of both the electric and magnetic fields, as well as their interactions with matter.
Furthermore, Maxwell showed that the four equations, with his correction, predict waves of oscillating electric and magnetic fields that travel through empty space at a speed that could be predicted from simple electrical experiments—using the data available at the time, Maxwell obtained a velocity of 310,740,000 m/s.
Note that although SI units are given here for the various symbols, Maxwell's equations will hold unchanged in many different unit systems (and with only minor modifications in all others).
www.artilifes.com /maxwells-equations.htm   (2739 words)

  
 I Introduction   (Site not responding. Last check: 2007-10-18)
Maxwell’s equations are normally seen in a form such as
The method we will use to obtain Maxwell’s equations will be the same as is in our class notes.
To continue on to obtain our wave equations one would usually take the curl or the divergence of some of Maxwell’s equations, but as we can see from our form of Maxwell’s equations *d is equivalent to the curl and *d* is the divergence.
panda.unm.edu /Courses/finley/P495/TermPapers/Toddphys495.htm   (1492 words)

  
 Re: Maxwell (again)   (Site not responding. Last check: 2007-10-18)
Maxwells original formula were a set of 20 coupled Quaternion equations with 20 unknows.
Heaviside and Gibbs imposed a heavy restriction on these equations by applying a mathematical cheat the lorenz gauge to dramtically restrict what maxwell had done.
So today we are taught the what we know as maxwells equations aew actually in fact the heavyside/gibbs equations.....
www.antennex.com /storage/atheory4/_atheory4/00000041.htm   (84 words)

  
 PHYS208 Maxwell's Equations   (Site not responding. Last check: 2007-10-18)
Equation one shows that the divergence of the electric field at a point is proportional to the free charge density at that point.
Equation four shows that the curl of the magnetic field at a point is the sum of a term proportional to the conduction current density j
The del operator, defined in the last equation above, was seen earlier in the relationship between the electric field and the electrostatic potential.
www.physics.udel.edu /~watson/phys208/max-diff.html   (217 words)

  
 Gravity & Magnetism @ Coral Castle - SciForums.com
the particle term gives the Klein gordan equation of motion, the interaction term gives the lorentz force law, and the field term yields maxwells equations..
but it is my belief that maxwells equations simply has nothing to say about the interaction of an em field with matter.
maxwells equations govern the propogation of the field, and the lorentz force law governs the interaction of the field with matter.
www.sciforums.com /showthread.php?t=14978   (1549 words)

  
 Joe Galaxy®.NET Is Online! Be there. jGRN10CrocodileNotes
Maxwell's original equations were written in Quaternion notation, a complex mathematical system available at that time before Vector Analysis was introduced by Oliver Heaviside.
With this last error, the door to hyperspacial domains was forever closed, for the present mathematics and physics of electromagnetic theory do not allow for hyperspacial domains (domains out- side of three dimensions), superluminal signals (signals that exceed the speed of light or are infinite in speed), and a unified field theory.
Heaviside wrote a subset of Maxwell's equations where this capability is excluded.
joegalaxy.net /jGRN/jGRN10CrocodileRNotes.htm   (825 words)

  
 RMCEMC - September2000 Meeting
He looked at several issues that arise in practical applications (use of computers to calculate fields, the effect of EM fields between neighboring circuits, and others) and tries to show how readily understood techniques of circuit analysis can be used to deal with these problems.
He briefly reviewed the four sets of equations and showed that although most engineers are concerned with approximating Maxwells Equations, they are themselves an approximation of Quantum Electrodynamics.
The answer was yes by taking the finite difference approximation for Maxwells curl equations and do it for all three space directions.
www.ewh.ieee.org /r5/denver/rockymountainemc/archive/2000/sept00.htm   (555 words)

  
 Maxwell's Equations
The electromagnetic field equations have an intimate link with special relativity: the magnetic field equations can be derived from consideration of the transformation of the electric field equations under relativistic transformations at low velocities.
This equation is related to the magnetic field's structure because it states that given any volume element, the net magnitude of the vector components that point outward from the surface must be equal to the net magnitude of the vector components that point inward.
The above equations are all in a unit system called mks (short for meter, kilogram, second; also know as the International System of Units (or SI for short).
www.rare-earth-magnets.com /magnet_university/maxwells_equations.htm   (930 words)

  
 Altair Explains Electromagnetics
James Clerk Maxwell, a young Scottish mathematician, took upon himself to forge these fragments into a set of powerful interlocking equations which totally describe the behavior of the electromagnetic force.
It has been well said that all the laws of classical physics may be derived from Maxwells equations.
Yet the self educated Heaviside stripped Maxwells work of its quaternion terms and reduced it to the four simplified equations used today in the design of things like cellular phones, radar antennas and invisible airplanes.
www.altair.org /emag.html   (916 words)

  
 Gravitomagnetic Field / 'Gravity-Shielding' Experiments
In addition, questions remain as to whether the gravitomagnetic field (from the Maxwell-like gravity equations) is of a large enough magnitude to produce the effects reported by Podkletnov and Wallace.
Gravitational field equations are derived from General Relativity in a form similar to Maxwells equations.
Derives Maxwells equations for gravitation from GR in the case of non-relativistic velocities and relatively weak field strengths.
www.bibliotecapleyades.net /ciencia/secret_projects/project124.htm   (3770 words)

  
 THE DISPLACEMENT CURRENT AND MAXWELLS EQUATIONS
Prove that Maxwell's equations mathematically imply the conservation of electric charge; that is, prove that if no electric current flows into or out a given volume, then the electric charge within this volume remains constant.
The equation for the transverse electric field (eq.(35.46)) is valid in general, even if the acceleration is not constant.
This equation was one of the great and early triumphs of Maxwell's electromagnetic theory of light.
teacher.nsrl.rochester.edu /phy122/Lecture_Notes/Chapter35/chapter35.html   (2552 words)

  
 [No title]
Proceedings of the IRE Vol 49 p 892, Robert L. Forward (1961) Forward was the first to express the gravitomagnetic field in the modern form of Maxwells equations for gravitation.
Among many other theories presented, gravitational field equations are derived from general relativity in a form similar to Maxwells equations.
Provides a summary analysis of Maxwells equations for gravitation, and an in-depth analysis of the Gravity Probe-B orbital gyroscope experiment for detecting the earth's gravitomagnetic field.
amasci.com /weird/wallc/wallct.txt   (3245 words)

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