# Electromagnetics

Solve problems that model electric and magnetic fields

Solve PDEs that model static and time-harmonic electric and magnetic fields. A typical programmatic workflow for solving an electromagnetic problem includes these steps:

• Create a special electromagnetic model container for an electrostatic, magnetostatic, or harmonic analysis.

• Define a geometry and mesh it.

• Assign electromagnetic properties of the material, such as relative permittivity, relative permeability, and conductivity.

• Specify charge density, current density, and magnetization within the geometry.

• Specify voltage, magnetic potential, surface current density, and an electric or magnetic field on the boundaries.

• Specify absorbing boundary conditions.

• Solve and plot results, such as the resulting electric or magnetic potentials, fields, and flux densities.

## Functions

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 `createpde` Create model `electromagneticProperties` Assign properties of material for electromagnetic model `electromagneticSource` Specify current density, charge density, and magnetization for electromagnetic model `electromagneticBC` Apply boundary conditions to electromagnetic model `solve` Solve structural analysis, heat transfer, or electromagnetic analysis problem `assembleFEMatrices` Assemble finite element matrices
 `interpolateElectricPotential` Interpolate electric potential in electrostatic or DC conduction result at arbitrary spatial locations `interpolateElectricField` Interpolate electric field in electrostatic or DC conduction result at arbitrary spatial locations `interpolateElectricFlux` Interpolate electric flux density in electrostatic result at arbitrary spatial locations `interpolateMagneticPotential` Interpolate magnetic potential in magnetostatic result at arbitrary spatial locations `interpolateMagneticField` Interpolate magnetic field in magnetostatic result at arbitrary spatial locations `interpolateMagneticFlux` Interpolate magnetic flux density in magnetostatic result at arbitrary spatial locations `interpolateHarmonicField` Interpolate electric or magnetic field in harmonic result at arbitrary spatial locations `interpolateCurrentDensity` Interpolate current density in DC conduction result at arbitrary spatial locations
 `pdeplot` Plot solution or mesh for 2-D problem `pdeplot3D` Plot solution or surface mesh for 3-D problem `pdegplot` Plot PDE geometry `pdemesh` Plot PDE mesh `pdeviz` Create and plot PDE visualization object
 `findElectromagneticProperties` Find electromagnetic material properties assigned to geometric region `findElectromagneticSource` Find electromagnetic source assigned to geometric region `findElectromagneticBC` Find electromagnetic boundary conditions assigned to geometric region

## Live Editor Tasks

 Visualize PDE Results Create and explore visualizations of PDE results in the Live Editor

## Objects

 `ElectromagneticModel` Electromagnetic model object `ElectrostaticResults` Electrostatic solution and derived quantities `MagnetostaticResults` Magnetostatic solution and derived quantities `HarmonicResults` Harmonic electromagnetic solution `ConductionResults` DC conduction solution

## Properties

 ElectromagneticMaterialAssignment Properties Electromagnetic material properties assignments ElectromagneticSourceAssignment Properties Electromagnetic source assignments ElectromagneticBCAssignment Properties Electromagnetic boundary condition assignments PDESolverOptions Properties Algorithm options for solvers PDEVisualization Properties PDE visualization of mesh and nodal results