Integral quantities in DC conduction
Generally the integral quantities of interest in DC conduction analysis are: electric current, Joule heat.
The following notations are used in formulas:
- U – scalar electric potential;
- E – electric field strength;
- J – vector of current density.
| Name, ActiveField constant | Formula and Description |
|---|---|
| Current through a surface
qfInt_KGrad_n_ds |
\[ I = \int(\mathbf J ·\mathbf n)ds \]
Electric current through a particular surface. |
| Joule heat in a volume
qfInt_GradKGrad_dv |
\[ W = \int(\mathbf E ·\mathbf J)dv \]
Power losses in a particular volume. |
| Name, ActiveField constant | Formula and Description |
|---|---|
| Average surface potential
qfInt_Potential_ds | \[ U = \frac{1}{S}\int U ds \] |
| Average volume potential
qfInt_Potential_dv | \[ U = \frac{1}{V}\int U dv \] |
| Root mean square value of the surface strength | \[ E = \sqrt {\frac{1}{S}\int |\mathbf E|^2 ds } \] |
| Root mean square value of the volume strength | \[ E = \sqrt {\frac{1}{V}\int |\mathbf E|^2 dv } \] |
| Root mean square value of the surface current density | \[ J = \sqrt {\frac{1}{S}\int |\mathbf J|^2 ds } \] |
| Root mean square value of the volume current density | \[ J = \sqrt {\frac{1}{V}\int |\mathbf J|^2 dv } \] |