ElectricPotential

Type:0-Tensor, or section
Range:[v_1, …, v_1]
Default:-/-
Appearance:optional

Specifies the potential of the electric field \SField{\varphi}. The unit of the potential is the volt, \units{V}.

The electric potential is implicitly defined as a field which satisfies

\begin{eqnarray*}
\VField{E} & = & 0=-\nabla \SField{\varphi} - \frac{\partial \VField{A}}{\partial t},
\end{eqnarray*}

where \VField{E} is the electric field strength and \VField{A} is the magnetic potential.

A constant electric potential can be defined by assigning a scalar:

# define a constant electric field strength
ElectricPotential = ...

For more general cases, an electric potential may be given as a section in order to deal with space, time, and parameter dependent definitions:

# define an electric potential as a section
ElectricPotential {
  Constant {...}
  Python {...}
  ...
}

Field definitions within this section are summed up. Consult the subsequent sections to see which types of field definitions are allowed.