# Start a new discussion

## Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

## Site Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorzskoda
• CommentTimeSep 27th 2012

I expanded Maxwell’s equations by adding the integral form in SI system and then a shorter version of discussion from electromagnetism for the differential form of the equations, both in 3d and 4d formulations. Note also that Ampère’s law is about producing magnetic field from current; while it is Maxwell’s equation, or Ampère-Maxwell which adds the term with the change of electric field, the main discovery of Maxwell. Some people nowdays say generalized Ampère’s law what I wrote, but I am not happy about it as the general form does not generalize it in the straightforward manner, but adds new physics what needs a separate attribution.

• CommentRowNumber2.
• CommentAuthorzskoda
• CommentTimeSep 27th 2012
• (edited Sep 27th 2012)

Needs some explanations, like why and how $D$ and $H$ come in terms of $E$, $B$ and metric. The integral form is written in terms of $E$ and $B$ only. $D$ and $H$ are usually motivated either by controlling the Hodge star operation, either by physics of materials.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeSep 27th 2012

Thanks, that’s good to have. I’ll try to join in later.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJan 5th 2019