Maxwell Equations: Physically Meaningful Derivation

In summary, without an aether, Maxwell's equations have no physical meaning. They are just mathematical statements that are used to solve certain problems.
  • #1
nur
2
0
hi everyone i want a real explanation to maxwell equations and exactely a meaning physicly to dérivation to an magnitic ...
thanks
 
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  • #2
That's not something that could easily come out of one post without someone dedicating a lot of time and energy. That's why we have whole textbooks written about electrodynamics:

9780139199608.jpg


So unless you have specific questions, I suggest you take an electromagnetism course or buy the book if you have the math background to understand it.
 
  • #3
Ok explain to me what mean derivation in physique (pratic and not in math ) i give you a field of magnitic "b" so derivat it to get "e" how that ?

Thanks
 
  • #4
I suggest you to check out wikipedia. Type "Maxwell equations" there and you'll see them detailed.
 
  • #5
Pythagorean said:
That's not something that could easily come out of one post without someone dedicating a lot of time and energy. That's why we have whole textbooks written about electrodynamics:

9780139199608.jpg


So unless you have specific questions, I suggest you take an electromagnetism course or buy the book if you have the math background to understand it.

What maths are required for complete use this book?
 
  • #6
Daveman20 said:
What maths are required for complete use this book?

Calculus and basic vector calculus. Like most electromagnetics texts, he does a brief review of some of the vector concepts that you need to know. Giancoli has a decent college physics set of textbooks that would require trigonometry. However, the lack of calculus means that it is more memorization and at a simpler level. That is, most of the time you spend learning the equations that come out of the calculus of electromagnetics for specific situations. With a university physics course you learn the more fundamental equations that you would use to derive most of the equations given to you in the Giancoli text. Just about all of classical electromagnetics can be described by five equations.
 
  • #7
nur said:
hi everyone i want a real explanation to maxwell equations and exactely a meaning physicly to dérivation to an magnitic ...
thanks

Bad news nur. There is no real explanation as to the physical meaning of Maxwell's equations! Maxwell derived them using a hydrostatic model which he assumed applied to what was in that day called the "luminiferous aether". This was a material assumed to fill all space. Unfortunately later experiments showed that the properties expected of aether in Maxwell's day did not agree with reality. Eventually this led to physics rejecting the entire idea of an aether. (though a rethinking rather than total rejection might have made more sense).

The bottom line is that without the aether, there is NO physical basis for an explanation of Maxwell's equations. And today they are simply pure mathematics that is applied certain problems without any real underlying model. In fact, we now know they are certainly not even correct. For example, light is now known to not be an electromagnetic wave at all! Such a wave does not have the properties to explain the observed phenomena such as photo electric effect. But even in classical physics there seems to be reason enough for a thorough re-examination of what Maxwell did with an eye to trying to uncover some kind of workable physical model.
 

1. What are Maxwell's equations?

Maxwell's equations are a set of four equations that describe the behavior of electric and magnetic fields. They were developed by Scottish physicist James Clerk Maxwell in the 19th century and are fundamental to the study of electromagnetism.

2. Why are Maxwell's equations important?

Maxwell's equations are important because they provide a complete description of how electric and magnetic fields interact with each other and with charged particles. They form the foundation of modern electromagnetic theory and have numerous practical applications, including in the development of technologies such as radio, television, and wireless communication.

3. How were Maxwell's equations derived?

Maxwell's equations were derived by combining experimental observations and mathematical principles. Maxwell used the work of previous scientists, such as Michael Faraday and André-Marie Ampère, to develop a unified theory of electromagnetism. He also introduced the concept of displacement current to account for changes in electric fields over time.

4. What is the physically meaningful derivation of Maxwell's equations?

The physically meaningful derivation of Maxwell's equations involves using fundamental principles of electromagnetism, such as Gauss's law, Ampère's law, and Faraday's law, to derive the equations. This derivation shows the connection between the equations and physical phenomena, making them more intuitive and easier to understand.

5. Can Maxwell's equations be simplified?

Yes, Maxwell's equations can be simplified in certain situations. For example, in the absence of magnetic fields, Ampère's law can be simplified to just the curl of the electric field. Additionally, in the absence of time-varying fields, Faraday's law can be simplified to just the divergence of the electric field. These simplifications can make the equations easier to work with in specific scenarios.

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