Moving electrical charges and Maxwell's equations

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SUMMARY

The discussion centers on the relationship between moving electrical charges and Maxwell's equations, specifically addressing whether an electron traveling at constant velocity emits electromagnetic waves. Participants conclude that only accelerating charges produce electromagnetic radiation, while charges moving at constant velocity generate a static magnetic field. The conversation also touches on the implications of Lorentz transformations and the nature of radiation, clarifying that radiation can occur even with straight-line acceleration, albeit in a transient form. Ultimately, the consensus is that electromagnetic waves arise from oscillating charges, not from those in uniform motion.

PREREQUISITES
  • Understanding of Maxwell's equations and their implications for electromagnetic theory.
  • Familiarity with Lorentz transformations and their application in physics.
  • Knowledge of electric charge behavior and electromagnetic radiation principles.
  • Basic concepts of wave mechanics and the Poynting vector in electromagnetic fields.
NEXT STEPS
  • Study the derivation and implications of Maxwell's equations in classical electromagnetism.
  • Explore the concept of electromagnetic radiation produced by accelerating charges.
  • Learn about the Poynting vector and its role in energy flow in electromagnetic fields.
  • Investigate the quantum mechanics of photons and their relationship to classical electromagnetic theory.
USEFUL FOR

Physicists, electrical engineers, and students of electromagnetism seeking to deepen their understanding of the principles governing electromagnetic radiation and the behavior of charges in motion.

  • #91
Can we please get a moderator?
 
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  • #92
kcdodd said:
Can we please get a moderator?

Huh? What for? What Wikipedia articles and what equation do you believe is wrong? What kind of discussion is this where I provide all the reference and get called "stupid", yet those who can not support their claims just scream around and wave hands without actually saying anything? Just say it already, what exactly are you so nervous about?
 
  • #93
kcdodd said:
Can we please get a moderator?

I've reported his crazy posts. I recommend others do the same. He can't even tell the difference between charge and charge density, yet he wants to claim every EM book ever written is wrong. This is yet another clear example of how a little bit of knowledge can be a dangerous thing.
 
  • #94
elect_eng said:
I've reported his crazy posts.

He can't even tell the difference between charge and charge density..

Interesting reaction, and I only wanted to see some evidence for your assertions.YOUR FALSE EQUATION: E = \frac{q}{2\pi\epsilon_0*r}

It is you who has a single charge of a single electron in your equation, and moderators will tell you that, whatever the reason you want to call them. You may as well call your mum too, that will not change the reality and what has come to past. Next time be careful about the equations and try to use them before you make your conclusion, so to not embarrass yourself like this. Ok? -- At least you realized there is a TOTAL amount of charges here, now learn about it:

http://en.wikipedia.org/wiki/Coulomb

http://en.wikipedia.org/wiki/Charge_density

http://en.wikipedia.org/wiki/Elementary_charge
 
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  • #95
Dunnis said:
It is you who has a single charge of a single electron in your equation, and moderators will tell you that, whatever the reason you want to call them. You may as well call your mum too, that will not change the reality and what has come to past. Next time be careful about the equations and try to use them before you make your conclusion, so to not embarrass yourself like this. Ok? -- At least you realized there is a TOTAL amount of charges here, now learn about it:

No, it is you that has ignored all of the explanations given to you. I provided you a derivation in an attached jpg file. Did you even look at it after you asked for references and explanations? No you did not. I quoted a book. Did you bother to consult it? No you did not. The variable q is linear charge density with units of Coulombs per meter. It is not the single electron charge as you say. Anybody can go back into this thread and read proof that I explained this. Besides, it needs no explanation. This is such an obvious fact from the context of the equations. You are asking for explanations that are like asking what 2+2 is. Who do you think you are kidding? You are the one who is embarrassing himself.
 
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  • #96
Dunnis said:
YOUR FALSE EQUATION: E = \frac{q}{2\pi\epsilon_0*r}

Why do you call this "my false equation"? This equation can be found in every electromagnetics book. EVERY SINGLE ONE! I gave reference to one book above. The well known book by Krauss is another, and Jackson can be consulted too. I gave a jpg file with my own derivation and kcdoddd gave a link to another derivation. You keep asking for references and we give them, yet you ignore them. What is your problem? Are you just doing this as a prank? Are you just unwilling to admit when you are wrong? Whatever the issue is you'd better come to terms with it. By the way, at one point you mentioned you do this for a living. I dare you to show this thread to your boss, or your customers if you are self-employed.
 

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