Elementary question on Electric flux units

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SUMMARY

The discussion centers on the units of electric flux as defined by Gauss's law, specifically addressing the confusion between SI and Gaussian units. The net electric flux over a closed surface is calculated as the surface integral of the electric field (E), which relates to charge and permittivity. In SI units, electric flux is expressed in volts meters, while in Gaussian units, it simplifies to just the charge. The book referenced is Purcell's classic text, which primarily uses CGS units but touches on SI, leading to potential misunderstandings regarding the units of flux.

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  • Understanding of Gauss's law in electromagnetism
  • Familiarity with SI and Gaussian unit systems
  • Knowledge of electric field and electric flux concepts
  • Basic grasp of permittivity and its role in electric fields
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jonjacson
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The net flux over a closed surface is:

Flux = The surface integral of the field E = charge / permitivity in space (Gauss law)

The permitivity in space is:

8.85 10-12 Coulombs2/N m 2

So I understand the units of Flux are:

Newton meter2/Coulombs

Is this correct? I don't understand why in a book they say that the net flux is simply the charge, ignoring the permittivity units.

ALternatively the permittivity could be given in Farad/meter so our flux would be:

Coulombs meter/ Farad

Is this correct?

Thanks!
 
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jonjacson said:
in a book
a book, eh ? Are they talking about ##\vec E## or about ##\vec D## ?
 
Does your book use SI units or Gaussian? You should really identify the book.
In SI, electric flux is volts meters. (Because electric field is volts/meter, and flux is an integral over area)
 
jonjacson said:
I don't understand why in a book they say that the net flux is simply the charge, ignoring the permittivity units.
As a wild guess, perhaps it uses Gaussian units, in which the vacuum permittivity constant ##\varepsilon_0## does not exist.

https://en.wikipedia.org/wiki/Gaussian_units

[ah, now I see Khashishi beat me to it!]
 
Ok, so if it is gaussian units it is just the charge, if it is SI units we have what I said at the start.
I hope this is right, if not let me know.
 
Did you miss
Khashishi said:
Does your book use SI units or Gaussian? You should really identify the book.
 
BvU said:
Did you miss

It is Purcell's classic. It is a fantastic book, it says in gaussian units it is just the charge, but in SI doesn't explicitly say "these are the units", I wanted to check, since I consider that very basic.
 
Purcell Ch1 (probably the rest too) is CGS. He touches upon SI which to me is potentially confusing. Check out appendix E where he says 'in our CGS system'.
 

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