Talk:Gauss's Law

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It doesn't make sense to speak of a path integral over a surface. A path or curve is by definition one-dimensional; a surface is by definition two-dimensional. Michael Hardy 01:24 Mar 21, 2003 (UTC)

indeed, must we still use the \oint symbol then?
yes, the \oint symbol is still appropriate. It's not just notation for one-dimensional closed-paths, it's also used for the integral taken over any closed manifold, a closed path is just the one-dimensional case, here, it means a closed 2-mainfold, or surface. Revolver
What we really need is the symbol for an integral over a closed surface, which is two integral signs with a loop through both of them: sort of an \oiint, which doesn't exist in standard TeX and LaTeX. (It's in Unicode: U+222F (insert pitch for MathML here).) Mike 21:11, 29 March 2006 (UTC)

Contents

[edit] Differential Form

Shouldn't we include it in differential form too? I am too afraid to make mistakes myself to do it.

[edit] Partial form

\nabla \cdot \mathbf{D} = \rho

\nabla \cdot is the divergence

D is the electric displacement field (in units of C/m2).

ρ is the free electric charge density (in units of C/m3), not including dipole charges bound in a material

Andries 09:29, 4 Sep 2004 (UTC)


[edit] Please vet

Today's edits by User:128.6.83.17 should be carefully vetted. --Wetman 00:12, 10 Jun 2005 (UTC)

2.000? o_O what's the point --210.6.198.242 15:34, 16 Jun 2005 (UTC)

Reply: I believe that there are certain theoretical reasons for insisting that the square be exactly 2, and not just approximately 2. One, I think, has to do with the central nature of the electric force which does not show up with 1/(r^n) type dependence if n is not equal to 2. I could be wrong, so take this with a chunk of salt.

--24.84.203.193 28 June 2005 06:45 (UTC)


solve gauss's law for a sherical charge its just 2, with no reason to insist on a decimal Cpl.Luke 00:04, 13 July 2005 (UTC)

[edit] Symbols

The symbol Φ should be introduced after the first equation (the integral form). Curiously, all other symbols are introduced.

Could somebody add something about the history of the law? I don't really know much about it, but the only indication that Gauss had anything to do with it (it could just be a name) is the link on the bottom of the page. 134.10.12.13 10:50, 13 February 2007 (UTC)

[edit] Incorrect Equation

Hello. I am looking in my physics text book right now, and it appears the integral for Guass's Law is incorrect. The integral should take the sum of the Magnetic Field not the Electric field as stated in this article. My knowledge is just first year physics, so I wish not to change this article.

134.117.254.250 17:32, 2 March 2007 (UTC) Dave Hawkins

[edit] Correction Not Needed

The statment I made in the last thread was incorrect and I dont know how to dealete it. I apologize for the mistake. Thanks

134.117.254.250Dave Hawkins

  • You're not entirely wrong. The integral form of Gauss's Law for a magnetic field can be constructed, but it's equal to zero, always. This is a consequence of the fact that magnetic monopoles don't exist (so magnetic fields go in loops and the net magnetic flux - in the static case - is zero because all field lines that exit the Gaussian surface must re-enter it somewhere else. 24.80.118.29 04:36, 4 June 2007 (UTC)


[edit] Change to intro

Although the introductory paragraph is correct, it's a bit convoluted. Perhaps we could add a couple consice definitions like:

In electrostatics: The electrical flux through an arbituary closed surface is proportional to the electric charge enclosed by that surface.

In gavitation: The gravitational flux through an arbituary closed surface is proportional to the mass enclosed by that surface.

How about simply stating clearly what it means? The article completely fails to do this. Like all too many math/physics articles. Maury 20:17, 28 September 2007 (UTC)


[edit] Template:Electromagnetism vs Template:Electromagnetism2

I have thought for a while that the electromagnetism template is too long. I feel it gives a better overview of the subject if all of the main topics can be seen together. I created a new template and gave an explanation on the old template talk page, however I don't think many people are watching that page.

I have modified this article to demonstrate the new template and I would appreciate people's thoughts on it: constructive criticism, arguments for or against the change, suggestions for different layouts, etc.

To see an example of a similar template style, check out Template:Thermodynamic_equations. This example expands the sublist associated with the main topic article currently being viewed, then has a separate template for each main topic once you are viewing articles within that topic. My personal preference (at least for electromagnetism) would be to remain with just one template and expand the main topic sublist for all articles associated with that topic.--DJIndica 16:35, 6 November 2007 (UTC)

[edit] Move

Shouldn't this article be called "Gauss' Law"?Bless sins 13:37, 14 November 2007 (UTC)

I just came here thinking the same thing...Random89 (talk) 22:06, 31 January 2008 (UTC)
Actually, it's a bit more ambiguous than you might think. This might be an interesting read. Personally, I prefer putting the "s" afterward just for consistency's sake. -142.151.163.237 (talk) 04:26, 27 February 2008 (UTC)
Proper English dictates 's--Lingwitt (talk) 03:37, 12 March 2008 (UTC)