Does the use the use of ε0 imply that it is for vacuum?

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The discussion centers on the application of ε0 in electrical and magnetic flux equations, particularly regarding whether these equations apply to vacuum or other materials. It is clarified that while Maxwell's equations are universally applicable, ε0 is specifically associated with vacuum conditions and is often approximated in air due to its relative permittivity being close to 1. The electrical flux from a single charge is consistent across uniform materials, but the electric field E varies depending on the material's relative permittivity (εr). The context of the equations typically indicates whether a vacuum is intended, and when relative constants are not specified, they are assumed to be unity. The conversation concludes with a consensus on the clarity of these concepts.
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I found most literatures on Electrical or Magnetic fluxes maddeningly unclear about the MATERIAL in which the equations are applied. In free air only? or not?

I would like to know if the following 2 statements are true
the electrical flux generated by a single charge will look the same in all (uniform) materials.
the electrical field E generated by a single charge will change from one material to another depends on εr.

I m guessing maxwell equations are really for conductors and air?
 
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##\epsilon_0## is for a vacuum. It is often used as an approximation in air since the relative permativity of air is very nearly 1.

You should be able to tell whether a vacuum is intended or not by the context.

Maxwels equations are for everywhere.
Some people just write them out for the vacuum case.
 
In a formula, εo is always accompanied by εr.

Similarly, μo is always accompanied by μr.

If the relative constant is not explicitly shown, it is taken as unity (meaning its value in free space).
 
The electric flux distribution will be the same for anyone isotropic material only if the boundary conditions are perfect conductors and/or insulators, and the geometry is fixed.
 
OH WOW, so clear, thank you all. I am writing them down.
 
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