To illustrate their importance, the biblical quote “And God said let there be light, and there was light” 10 has been jokingly altered by physicists and is also found displayed on various merchandise: “And God said, and there was light” 11.įigure 1.
As such, the equations provide also an equation for light and its origin, making them of fundamental importance to physics and life. Simultaneously, Maxwell’s Equations also demonstrated for the first time that electromagnetic waves and visible light have the same speed and are essentially the same 1, 2, 6. As such, Maxwell’s Equations summarize the source of electric and magnetic fields, and also describe how they are interlinked. Maxwell’s Equations summarize the world of electromagnetics in four elegant equations that state: (a) an electric charge is the source of an electric field (b) a moving electric charge results in a magnetic field (c) a changing magnetic field results in an electric field (d) a magnetic field has no source ( Figure 1) 1. He unified his observations with Faraday’s, Gauss’s and Ampere’s Laws into a set of four equations, known as Maxwell’s Equations ( Figure 1) 1– 9. You may disagree, and if so please be specific this time, but most importantly I just want to see that information from the "1st hand", some valid source, as you seem to be misinterpreting something.James Clerk Maxwell was a pioneer in studying the propagation of electromagnetic waves 1– 5. if they had much more positive or negative charges per any given point over length, but cables are uniformly made both of positive and negative charges, regardless of any changes in the direction or magnitude of their drift velocity along that length. Wires would NOT be SAFE if they were electrically charged, i.e. "alternating currents" has nothing to do with 'radial distance and electric field potential around any cables'. "operating mode", whatever that is supposed to mean, makes no difference to the magnitude of electric field potential around any cables. "coaxial cable" or not, has nothing to do with this, wires are electrically neutral at any macroscopic distance away from them, which means "around them". What fields and what distance are you talking about exactly, the same ones I draw on my diagrams, and for which I provided equations and links to Wikipedia? - So, you are just saying everything I said is wrong, including my reference, and what you say is correct, but please, if you mean to disagree, provide some link, just show me some article, paper or some other web-site where I can see what in the world you are talking about, ok? It is not much different than a wave guide, where there are oscillations in all of B, E, phi and J. Charge continuity requires that the charge be not always zero valued. The currents in different phases along the length of the cable are not equal. In the limt of DC current, it is also 1/r dependent, but the radial component is zero valued 0*(1/r)=0. The radial electric field strength of a coaxial cable operating in the fundemental mode has 1/r dependence. I'm just hoping some of it is understandable. And if all this sounds like complete jibberish, you're not alone. The odd permutations have entries of 2B 2.īTW, I don't know that this is going in the right direction. The elements with evenly permutated indeces equal -2E 2. There are 24 nonzero terms in the product. The seemingly imbalanced brackets are deliberate and denote skew multipliction. F is the covariant Maxwell tensor, G is the Maxwell tensor multiplied by the mixed index 4 dimensional Levi-Civita symbol in the Minkowski metric. The direct (and skew) product of F and G, So, with your inspiration to this thread, I got out the crayons and have been looking for a manifestly covariant energy transport equation in terms of electromagnetic fields. Unfortunately it works for energy and momentum, but not energy density and momentum density. Yes, I realize all that, which is why I used the toy equation that I did. However, you can write it in covariant form. Just think about the same quantities of a particle.
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