Definition:Electric Flux Density

Definition

Electric flux density is the measure of the intensity of an electric field inside a substance $S$.

It is defined as:

$\mathbf D = \varepsilon_0 \varepsilon_r \mathbf E$

where:

$\mathbf E$ denotes the electric field strength at a given point within $S$

$\varepsilon_0$ denotes the vacuum permittivity

$\varepsilon_r$ denotes the relative permittivity of $S$

Electric flux density is a vector quantity.

Symbol

$\mathbf D$

The usual symbol used to denote electric flux density is $\mathbf D$.

Its $\LaTeX$ code is \mathbf D .

Dimension

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

Units

The SI unit for electric flux density is the coulomb per square metre:

$\mathrm {C / m^2}$

The CGS unit of electric flux density is the electrostatic unit $\mathrm {e.s.u.}$.

Conversion Factors

\(\ds \)

\(\)

\(\ds 1\)

e.s.u.

\(\ds \)

\(=\)

\(\ds \dfrac 1 {12 \pi} \times 10^{-5}\)

coulombs per square metre

Also see

• Results about electric flux density can be found here.

Sources

• 1969: J.C. Anderson, D.M. Hum, B.G. Neal and J.H. Whitelaw: Data and Formulae for Engineering Students (2nd ed.) ... (previous) ... (next): $1.$ Units and Abbreviations: $1.2$ SI units $(2)$ Derived units