# Electromagnetics

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

## Live Editor Tasks

Visualize PDE Results | Create and explore visualizations of PDE results in the Live Editor (Since R2022b) |

## Objects

`ElectromagneticModel` | Electromagnetic model object (Since R2021a) |

`ElectrostaticResults` | Electrostatic solution and derived quantities (Since R2021a) |

`MagnetostaticResults` | Magnetostatic solution and derived quantities (Since R2021a) |

`HarmonicResults` | Harmonic electromagnetic solution (Since R2022a) |

`ConductionResults` | DC conduction solution (Since R2022b) |

## Properties

ElectromagneticMaterialAssignment Properties | Electromagnetic material properties assignments (Since R2021a) |

ElectromagneticSourceAssignment Properties | Electromagnetic source assignments (Since R2021a) |

ElectromagneticBCAssignment Properties | Electromagnetic boundary condition assignments (Since R2021a) |

PDESolverOptions Properties | Algorithm options for solvers |

PDEVisualization Properties | PDE visualization of mesh and nodal results (Since R2021a) |

## Topics

### Electrostatic and Magnetostatic Problems

**Electrostatic Potential in Air-Filled Frame**

Find the electric potential in an air-filled annular quadrilateral frame.**Electrostatic Analysis of Transformer Bushing Insulator**

Compute an electric field intensity in a bushing insulator.**Magnetic Field in Two-Pole Electric Motor**

Find the static magnetic field induced by the stator windings in a two-pole electric motor.**Magnetic Flux Density in Electromagnet**

Compute a magnetic flux density in a solenoid with an iron core using a 3-D model and a 2-D axisymmetric model.**Magnetic Flux Density in H-Shaped Magnet**

Compute a magnetic flux density in a ferromagnetic frame.**Current Density Between Two Metallic Conductors**

Find the electric potential and the components of the current density between two circular metallic conductors.**Scattering Problem**

Compute reflected waves from an object illuminated by incident waves.

### Electromagnetic Equations

**Electrostatics and Magnetostatics**

Partial differential equations for electrostatics and magnetostatics problems.**DC Conduction**

Partial differential equations for direct current electrical conduction problems.**Harmonic Electromagnetics**

Partial differential equations for time-harmonic electromagnetic fields.