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Why was maxwell given the credit to gauss's integral (flux) equation? 
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#1
Jul1213, 09:35 PM

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why was maxwell given the credit to gauss's integral (flux) equation?



#2
Jul1213, 09:59 PM

C. Spirit
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He wasn't. Where did you read that? He was given credit for other things, especially for his substantial contribution to the forging of a coherent framework of a theory of the classical electromagnetic field.



#3
Jul1313, 04:36 AM

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#4
Jul1313, 05:46 AM

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Why was maxwell given the credit to gauss's integral (flux) equation?
Actually Faraday's law is included in Maxwell's equations, too, but each man has his own credit. Usually science is fair.



#5
Jul1313, 11:19 AM

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#6
Jul1313, 11:54 AM

C. Spirit
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Ah ok. As others said above, he was given credit for combining electricity and magnetism into a unified theory of the classical electromagnetic field, and this involved bringing together Gauss's law, Faraday's law etc. but the individuals still get credit for their laws.



#7
Jul1313, 12:47 PM

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I think Maxwell's most important contribution to E&M is twofold: First of all he mathematized Faraday's intuitive field picture and second he added the displacement current to Ampere's Law, leading to the prediction of electromagnetic waves and unifying electromagnetism with optics.
I think Maxwell's theory is the most important achievement of classical physics since Newton's Principia. At the same time it was a paradigm shift from the idea of action at a distance to local field theories. Classical physics was completed with the advent of the theory of relativity. The special theory immediately emerged from the analysis of Maxwell's equations by Heaviside, Lodge, FitzGerald, Voigt, H. Hertz, Poincare, Lorentz, and finally Einstein. After this complete understanding of classical electrodynamics and "electron theory", the trouble with the atomistic structure of matter could be attacked on a solid basis of classical physics. I finally lead to the development of quantum theory and after all the Standard Model particle physics. This is also a direct generalization of (quantum) electrodynamics and thus can be traced directly back to Maxwell's and the "Maxwellian's" work on classical electromagnetism. I think I don't need to emphasize the more practical aspects of Maxwell's work :). 


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Jul1313, 01:12 PM

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#9
Jul1313, 01:17 PM

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#10
Jul1313, 01:18 PM

C. Spirit
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I would say much of the "bringing together seemingly different concepts" was done by Faraday. Maxwell made it mathematical but the famous experiments intimately linking magnetism to electricity were done by Faraday. Faraday was a god amongst physicists. Faraday.



#11
Jul1313, 01:23 PM

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#12
Jul1313, 01:32 PM

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Yes, Wannabe, you are right, I misspoke. I should have said that the divergence theorem requires that the field have a continuous first derivativethere is no mathematical reason a priori why we don't observe the EM field with a discontinuous first derivative. It is an experimental fact.



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