## Surface Currents in a Circular Wire

## Surface Currents in a Circular Wire

Skin effect is a phenomenon where an alternating current tends to flow and distribute itself along the surface layer or outside skin of a conductor. This effect can for example be taken advantage of in power transmission applications by layering inexpensive conductor materials (for example aluminium) with a thin layer …

## Microstrip Transmission Line

## Microstrip Transmission Line

A shielded electrical microstrip transmission line is fixed to a substrate and placed in a shielded container of air. The simulation applies a known voltage to the strip to calculate the resulting capacitance and compares this with the theoretical result. The problem assumes symmetry in the lengthwise direction so that …

## Stress Distribution in a Solenoid

## Stress Distribution in a Solenoid

This multiphysics model examines how magnetic forces give rise to stresses in a long thick cylindrical solenoid. A current density of 106 A/m2 is running through a wound coil with 1 cm inner to 2 cm outer radii. The material of the coil is assumed to have a modulus of elasticity of 1.075⋅1011 N/m2 and Poisson’s …

## Inductance in Parallel Wires

## Inductance in Parallel Wires

This example calculates the inductance between parallel wires. Two 1 m wires with 4 mm radius 1 A current are placed 0.5 m apart in a large domain of non-conducting air or vacuum. The inductance is computed with both using the magnetic field energy and flux linkage, and compared against the analytical solution L = …

## Conducting Sphere

## Conducting Sphere

This verification example considers a perfectly conducting sphere placed between two charged capacitor plates. An axisymmetric solution for the electrostatic potential is compared with a full 3D one, and verified against the analytical solution U(xi) = E0*(r3/xi2 - xi), where the electrical field is the potential …

## Piezo Electric Bending of a Beam

## Piezo Electric Bending of a Beam

Multiphysics simulation of piezoelectric bending of a laminated beam as for example can be found in actuators for MEMS (micro electro mechanical systems) devices. The model features coupled plane-stress and electrostatics physics modes with equations modified to account for the anisotropic piezo-electric coupling. The …

## Magnetic Field Around a Permanent Magnet

## Magnetic Field Around a Permanent Magnet

Example of simulation and visualization of the two-dimensional static magnetic potential field around a u-shaped permanent magnet. This model is available as an automated tutorial by selecting Model Examples and Tutorials… > from the File menu. Or alternatively, follow the linked step-by-step instructions. …