ElectricPotentialCondition

ElectricPotentialCondition[pred,vars,pars]

represents an electric potential surface boundary condition for PDEs with predicate pred indicating where it applies, with model variables vars and global parameters pars.

ElectricPotentialCondition[pred,vars,pars,lkey]

represents an electric potential surface boundary condition with local parameters specified in pars[lkey].

Details

ElectricPotentialCondition specifies a Dirichlet boundary condition for ElectrostaticPDEComponent.
ElectricPotentialCondition specifies a boundary condition for ElectrostaticPDEComponent.
ElectricPotentialCondition is typically used to set a specific electric potential on the boundary. Common examples include capacitive devices charged by applying a voltage difference.
ElectricPotentialCondition sets a specific electric potential on the boundary with dependent variable and independent variables .
Stationary variables vars are vars={V[x₁,…,x_n],{x₁,…,x_n}}.
The electric potential condition ElectricPotentialCondition models .
The following additional model parameters pars can be given:
parameter default symbol

"ElectricPotential"
0
, surface electric potential in []
Model parameters pars are specified as for ElectrostaticPDEComponent.
ElectricPotentialCondition evaluates to a DirichletCondition.
The boundary predicate pred can be specified as in DirichletCondition.
If the ElectricPotentialCondition depends on parameters that are specified in the association pars as …,keyp_i…,p_iv_i,…], the parameters are replaced with .

Examples

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Basic Examples (3)

Set up an electric potential surface boundary condition:

Set up a default electric potential surface boundary condition:

Compute the electric potential distribution with model variables and parameters with an electric potential of [] at the left boundary and a ground potential at the right boundary.

Specify model variables and electrostatic parameters:

Set up and solve an electrostatic PDE:

Visualize the solution:

Scope (3)

Define model variables vars for an electrostatic analysis with model parameters pars and multiple specific parameter boundary conditions:

1D (1)

Compute the electric potential distribution between two parallel plates separated by a distance [] and positioned normal to the axis. The left plate is maintained at a constant potential [], whereas the right plate is grounded, . The region between the plates is characterized by a relative permittivity and a uniform electron charge density [ $TemplateBox[{InterpretationBox[, 1], {"C", , "/", , {"m", ^, 3}}, coulombs per meter cubed, {{(, "Coulombs", )}, /, {(, {"Meters", ^, 3}, )}}}, QuantityTF]$ ]. The equation to use in the model is given by:

Set up the electrostatic model variables :

Set up a region :

Specify electrostatic model parameters:

Specify the electric potential conditions:

Set up the equation:

Solve the PDE:

Visualize the solution:

3D (1)

Model a dielectric material of a cylindrical capacitor with two electric potential conditions at the upper and lower boundaries, which represent the capacitor electrodes. The equation to use in the model is given by: