Enthalpy change via entropy change and electric field change

The infinitesimal change in entropy of the system with a dielectric medium can be expressed using the change in its entropy and the change in the electric field strength.

Conditions:

  1. The dielectric is isotropic whether or not the electric field is present.

  2. The medium is homogeneous.

  3. The volume change of the medium is insignificant.

Links:

  1. Formula 31.9 on p. 122 of “General Course of Physics” (Obschiy kurs fiziki), vol. 3 by Sivukhin D.V. (1979).

enthalpy_density_change

Infinitesimal change in enthalpy of the system per unit volume.

Symbol:

dH

Latex:

\(dH\)

Dimension:

energy/volume

temperature

temperature of the system.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

entropy_density_change

Infinitesimal change in entropy of the system per unit volume.

Symbol:

dS

Latex:

\(dS\)

Dimension:

energy/(temperature*volume)

electric_displacement

electric_displacement.

Symbol:

D

Latex:

\(D\)

Dimension:

charge/area

electric_field_change

Infinitesimal change in electric_field_strength.

Symbol:

dE

Latex:

\(dE\)

Dimension:

voltage/length

law

dH = T * dS - D * dE

Latex:
\[dH = T dS - D dE\]