Relation between Electric Flux Density and Electric Field Intensity

Electric flux density and electric field intensity are related to each other in a linear manner. The relation between them is given by the following equation:

D = εE

where,
D - Electric flux density
E - Electric field intensity
ε - Permittivity of the medium

Explanation:

Electric flux density (D) is defined as the amount of electric flux passing through a unit area of a surface placed perpendicular to the electric field. It is measured in coulombs/meter².

Electric field intensity (E) is defined as the force experienced by a unit positive charge placed in an electric field. It is measured in newtons/coulomb or volts/meter.

Permittivity (ε) of a medium is a measure of its ability to store electric charges. It is measured in farads/meter.

According to the above equation, the electric flux density (D) is directly proportional to the electric field intensity (E), with the proportionality constant being the permittivity (ε) of the medium. This linear relationship between D and E can be understood as follows:

- When an electric field is applied to a medium, it creates a flux of electric charges in the medium.
- The amount of flux per unit area is proportional to the strength of the electric field, as the electric field pushes more charges across a given area of the medium.
- The proportionality constant is the permittivity of the medium, which depends on the nature of the medium and its ability to store electric charges.

Conclusion:

In summary, electric flux density and electric field intensity have a linear relation given by the equation D = εE. The electric flux density is directly proportional to the electric field intensity, with the proportionality constant being the permittivity of the medium. This relationship is fundamental to the understanding of electric fields and their effects on charged particles and materials.

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