Why Do Different Sources Show Varying Electric Flux Equations?

AI Thread Summary
Different sources present varying equations for electric flux due to the definitions of the electric field (E) and the electric displacement field (D). Serway defines electric flux ψ as ∫E ds = 1/ε ∫ρ dv = Q/ε, while other texts, like Schaum's, define it as ∫D ds = Q = ψ. The discrepancy arises because Schaum's uses the displacement field D, which accounts for the material properties of the medium. Understanding the relationship between E and D is crucial for reconciling these equations. Ultimately, the context and definitions used in each source determine the form of the electric flux equation.
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Homework Statement



Im starting to read about the electric flux and gauss's law. I am reading two books, Serway and Schaums electromagnetics.

The weird thing is that I'm getting different equations for the electric flux

Serway says that the Electric flux ψ is ∫E ds = 1/ε ∫ρ dv = Q/ε

While in other books I found that The Electric flux ψ is ∫ρ dv = Q

What is the real Electric flux equation ?

Thanks a lot.

Homework Equations





The Attempt at a Solution

 
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In Schaum's, is the flux ψ defined in terms of the field E or the field D?
 
TSny said:
In Schaum's, is the flux ψ defined in terms of the field E or the field D?

it is defined in terms of D

as ∫D ds = Q = ψ
 
Ok, that should account for the difference if you look at the relationship between E and D.
 
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