What is electric flux density proportional to?
2 Answers
Electric flux density, often denoted by \(\mathbf{D}\), is a measure of the amount of electric flux passing through a unit area in a dielectric material. It is closely related to the electric field \(\mathbf{E}\) and the permittivity of the medium.
The electric flux density \(\mathbf{D}\) is proportional to the electric field \(\mathbf{E}\) and the permittivity of the material, \(\varepsilon\). Mathematically, this relationship is expressed as:
\[ \mathbf{D} = \varepsilon \mathbf{E} \]
where:
- \(\mathbf{D}\) is the electric flux density.
- \(\varepsilon\) is the permittivity of the medium (which is the product of the permittivity of free space \(\varepsilon_0\) and the relative permittivity \(\varepsilon_r\)).
- \(\mathbf{E}\) is the electric field.
In other words, electric flux density is directly proportional to the electric field and the permittivity of the material. The permittivity itself can be thought of as a measure of how much the material can polarize in response to the electric field, affecting the relationship between \(\mathbf{D}\) and \(\mathbf{E}\).
The electric flux density \(\mathbf{D}\) is proportional to the electric field \(\mathbf{E}\) and the permittivity of the material, \(\varepsilon\). Mathematically, this relationship is expressed as:
\[ \mathbf{D} = \varepsilon \mathbf{E} \]
where:
- \(\mathbf{D}\) is the electric flux density.
- \(\varepsilon\) is the permittivity of the medium (which is the product of the permittivity of free space \(\varepsilon_0\) and the relative permittivity \(\varepsilon_r\)).
- \(\mathbf{E}\) is the electric field.
In other words, electric flux density is directly proportional to the electric field and the permittivity of the material. The permittivity itself can be thought of as a measure of how much the material can polarize in response to the electric field, affecting the relationship between \(\mathbf{D}\) and \(\mathbf{E}\).
Electric flux density, also known as the electric displacement field and denoted by \(\mathbf{D}\), is a measure of the electric field in a dielectric medium. It is given by:
\[ \mathbf{D} = \epsilon \mathbf{E} \]
where:
- \(\mathbf{E}\) is the electric field vector,
- \(\epsilon\) is the permittivity of the medium.
The electric flux density \(\mathbf{D}\) is proportional to:
1. **Electric Field (\(\mathbf{E}\))**: The relationship is directly proportional. As the electric field increases, the electric flux density increases proportionally, assuming the permittivity (\(\epsilon\)) of the medium remains constant.
2. **Permittivity of the Medium (\(\epsilon\))**: Electric flux density is also directly proportional to the permittivity of the medium. In different media, \(\epsilon\) can vary, affecting the electric flux density.
In summary, electric flux density (\(\mathbf{D}\)) is proportional to both the electric field (\(\mathbf{E}\)) and the permittivity (\(\epsilon\)) of the medium.
\[ \mathbf{D} = \epsilon \mathbf{E} \]
where:
- \(\mathbf{E}\) is the electric field vector,
- \(\epsilon\) is the permittivity of the medium.
The electric flux density \(\mathbf{D}\) is proportional to:
1. **Electric Field (\(\mathbf{E}\))**: The relationship is directly proportional. As the electric field increases, the electric flux density increases proportionally, assuming the permittivity (\(\epsilon\)) of the medium remains constant.
2. **Permittivity of the Medium (\(\epsilon\))**: Electric flux density is also directly proportional to the permittivity of the medium. In different media, \(\epsilon\) can vary, affecting the electric flux density.
In summary, electric flux density (\(\mathbf{D}\)) is proportional to both the electric field (\(\mathbf{E}\)) and the permittivity (\(\epsilon\)) of the medium.