ElectricSymmetryValue
ElectricSymmetryValue[pred,vars,pars]
represents an electric symmetry boundary condition for PDEs with predicate pred indicating where it applies, with model variables vars and global parameters pars.
ElectricSymmetryValue[pred,vars,pars,lkey]
represents an electric symmetry boundary condition with local parameters specified in pars[lkey].
Details
- ElectricSymmetryValue specifies a symmetry boundary condition for ElectrostaticPDEComponent and ElectricCurrentPDEComponent.
- ElectricSymmetryValue specifies a boundary condition for ElectrostaticPDEComponent and ElectricCurrentPDEComponent, and is used as part of the modeling equation:
- ElectricSymmetryValue is typically used to model a boundary with mirror symmetry along an axis.
- ElectricSymmetryValue models a boundary with mirror symmetry with dependent variable , independent variables and time variable .
- Stationary variables vars are vars={V[x1,…,xn],{x1,…,xn}}.
- Frequency-dependent variables vars are vars={V[x1,…,xn],ω,{x1,…,xn}}.
- The polarized form of ElectrostaticPDEComponent with vacuum permittivity in units of [], polarization vector in units of [] and volume charge density in units of [] is given by:
- ElectricSymmetryValue with boundary unit normal models:
- Model parameters pars as specified for ElectrostaticPDEComponent.
- The general stationary electric current model ElectricCurrentPDEComponent with electrical conductivity in units of [, an externally generated current density vector in units of [] and current source in units of [] is given by:
- ElectricSymmetryValue with boundary unit normal models:
- Model parameters pars are specified as for ElectrostaticPDEComponent or ElectricCurrentPDEComponent.
- ElectricSymmetryValue is effectively the same as ElectricFluxDensityValue with an electric flux of 0.
- ElectricSymmetryValue is effectively the same as ElectricCurrentDensityValue with a normal current density of 0.
- The boundary predicate pred can be specified as in NeumannValue.
- If the ElectricSymmetryValue depends on parameters that are specified in the association pars as …,keypi…,pivi,…], the parameters are replaced with .
Examples
open allclose allApplications (1)
Model the right half of a dielectric region of a capacitor. Set up the electrostatic model variables :
Set up the right half-region :
Specify electrostatic model parameter relative permittivity :
Set up an electric potential at the upper boundary:
Text
Wolfram Research (2024), ElectricSymmetryValue, Wolfram Language function, https://reference.wolfram.com/language/ref/ElectricSymmetryValue.html (updated 2024).
CMS
Wolfram Language. 2024. "ElectricSymmetryValue." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2024. https://reference.wolfram.com/language/ref/ElectricSymmetryValue.html.
APA
Wolfram Language. (2024). ElectricSymmetryValue. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ElectricSymmetryValue.html