Equation of state

In the physics of dielectric materials, the “equation of state” is the equation that connects the electric displacement with electric field strength, temperature, and density of the medium. This equation cannot be determined solely from thermodynamics and must be either supplied from experiment or derived from the theory of dielectric polarization.

Links:

1. Formula 31.10 on p. 122 of “General Course of Physics” (Obschiy kurs fiziki), vol. 3 by Sivukhin D.V. (1979).

electric_displacement

electric_displacement.

Symbol:

D

Latex:

\(D\)

Dimension:

charge/area

electric_field_strength

electric_field_strength.

Symbol:

E

Latex:

\(E\)

Dimension:

voltage/length

temperature

temperature of the medium.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

density

density of the medium.

Symbol:

rho

Latex:

\(\rho\)

Dimension:

mass/volume

state_function

The function that describes the relationship between electric_displacement and electric_field_strength, temperature and density.

Symbol:

f(E, T, rho)

Latex:

\(f{\left(E,T,\rho \right)}\)

Dimension:

charge/area

condition

D = f(E, T, rho)

Latex:

\[D = f{\left(E,T,\rho \right)}\]