Electric Flux Density / Electric Field Intensity

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SUMMARY

Electric Flux Density (D) and Electric Field Intensity (E) are distinct concepts in electromagnetism. D is defined by the equation D = εE, where ε represents permittivity, and is influenced by free charges. In contrast, E reflects both free and bound charges and is dependent on the medium's properties. While D can remain continuous across boundaries under certain conditions, E exhibits discontinuity due to changes in permittivity. Understanding these differences is crucial for analyzing electric fields in various media.

PREREQUISITES
  • Understanding of electric fields and their properties
  • Familiarity with permittivity and its role in electromagnetism
  • Knowledge of boundary conditions in electromagnetic theory
  • Basic grasp of vector quantities in physics
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  • Study the relationship between electric flux density and electric field intensity in different media
  • Explore the concept of permittivity and its significance in electromagnetism
  • Investigate boundary conditions for electric fields and their implications
  • Learn about the role of free and bound charges in electric field behavior
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Students of physics, electrical engineers, and anyone interested in the principles of electromagnetism and electric field analysis.

zaydana
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Hey people,

I'm struggling to understand exactly what Electric Flux Density D and Electric Field Intensity E are.

So far, my understanding is that D depends on relative permittivity, while E depends only on the permittivity of free space. Also, I understand that D reflects only the free charges, while E reflects both free and bound charges. Where I'm stuck though, is that my book also tells me that D is independent of the medium it is in, while E is dependent on the medium it is in. This just doesn't click with me, since the actual value of E doesn't change if you change the medium (and thus the relative permittivity), while the value of D does.

Can anyone help me out here?
 
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The vector quantity B is not the electric flux density, it is the magnetic flux density (or magnetic field depending upon your reference). D is the electric flux density and is related to the electric field by

\mathbf{D} = \epsilon \mathbf{E}

The boundary conditions for D and E are different. For example, the tangential E field is continuous across a boundary but the normal E field is discontinuous. The normal D across the boundary differs by the charge density that accumulates on the boundary so if we assume no bound charges then the normal D field is continuous, but the normal E field is still discontinuous if there is a change int he permittivity.

So both the D and E fields can change between media depending upon the properties of the media but most cases will assume that no charges will build up on the interface and thus the D field can be continuous in more cases.
 
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