The discussion revolves around the application of the equation ▼. E = ρ/ε0 in the context of conductors and dielectrics. Participants explore the appropriateness of using ε0 versus ε in different materials and the implications of these choices on the electric field.
Participants express differing views on the use of ε0 versus ε in the equation and the implications for conductors and dielectrics. There is no consensus on the correctness of the equation or the appropriate context for its application.
Participants highlight potential misunderstandings regarding the notation and definitions used in the equations, as well as the conditions under which the equations apply. The discussion remains open to interpretation and refinement.
lalbatros said:Are the dimensions correct in this equation: E=ρ/ε0 ?
I don't think so since an electric field from a charge is given by:
E = q/(4 pi ε0 r²) and since q/r² is no a charge density.
This can also be looked at from physical point of view.
neelakash said:A little bit of confusion:
Is it not correct to write ▼. E=ρ/ε0 inside a dielectric body.
As far as I know we should write ε instead of ε0.[where ε=εr*ε0]
Then why do we write ▼. E=ρ/ε0 inside a conductor?
When you deal with dielectrics, use D instead of E. This would be the most general form and will be true, even when you "simplify" it to the vacuum case. Only in the end do you need to do a quick conversion to E. This way, you don't have to worry about all your permitivity.
neelakash said:But my question is why I can write ▼. E=ρ/ε0 inside a conductor?