Definition:Electric Displacement Field

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Definition

The electric displacement field is a vector quantity defined as the electric field strength multiplied by the permittivity of the medium through which it passes:

$\mathbf D = \varepsilon \mathbf E$

where:

$\varepsilon$ is the permittivity of the medium
$\mathbf E$ is the electric field strength


Symbol

The usual symbol used to denote an electric displacement field is $\mathbf D$.


Dimension

Electric displacement field has the dimension $\mathsf {I T L}^{-2}$.


Units

The SI units of electric displacement field are coulombs per square metre: $\mathrm C \, \mathrm m^{-2}$

In the CGS unrationalised electromagnetic system, the unit of electric displacement field is the electromagnetic unit of electric displacement $\mathrm {e.m.u.}$

In the CGS unrationalised electrostatic system, the unit of electric displacement field is the electrostatic unit of electric displacement $\mathrm {e.s.u.}$


Conversion Factors

\(\ds \) \(\) \(\ds 1\) coulomb per square metre
\(\ds \) \(=\) \(\ds 10^{-5}\) e.m.u. of electric displacement
\(\ds \) \(\approx\) \(\ds 3 \times 10^5\) e.s.u. of electric displacement


Also known as

An electric displacement field is also known as electric induction.


Also see

  • Results about electric displacement field can be found here.


Sources