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mym786
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How to prove that D = eE.
Use a general proof. I know how to prove it assuming a point charge.
Use a general proof. I know how to prove it assuming a point charge.
I'm not sure what you mean by "prove". That is simply a definition: D=eE because we say so.mym786 said:How to prove that D = eE.
Use a general proof. I know how to prove it assuming a point charge.
As I said in my previous post, by definition. There really is nothing to prove. The electric displacement field is simply defined that way.mym786 said:How did we get this formula ?
dgOnPhys said:Hi yungman
I think you have a typo; your first line should go
[tex]\epsilon_0 \nabla \cdot \vec E =\rho_v + \rho_{f} = - \nabla \cdot \vec P + \rho_{f}[/tex]
Electric flux density, also known as electric displacement, is a measure of the electric field strength per unit area. It is a vector quantity that describes the flow of electric field through a given surface.
The electric flux density (D) is directly related to the electric field strength (E) through the equation D = εE, where ε is the permittivity of the medium. This means that the electric flux density is proportional to the electric field strength.
Electric flux density can be determined experimentally by measuring the electric field strength at different points on a given surface and then calculating the average value. This can be done using specialized equipment such as an electric field meter or by using mathematical calculations based on the geometry of the surface and the known charge distribution.
Determining electric flux density is important in understanding the behavior of electric fields in different mediums and predicting the behavior of electrical systems. It is also essential in the design and analysis of electrical devices and circuits.
Yes, there are limitations to using electric flux density to describe electric fields. It is only valid for linear, isotropic materials and cannot accurately describe the behavior of electric fields in non-linear or anisotropic materials. Additionally, it does not account for the effects of magnetic fields.