Educational Examples

This example revisits the classic iron-core magnetic circuit with two air gaps and a wound coil, then reproduces the analytical virtual work force calculation in EMWorks. Using a Magnetostatic study with symmetry, tangential flux boundaries, and refined air-gap meshing, EMS computes flux density and force on the movable part and matches the 3.02 N analytical result.

This example uses EMWorks’ Electrostatic module to simulate a parallel plate capacitor with 100×100 mm plates separated by a 2 mm air gap at 10 V. The study computes electric field distribution and plate force, compares results to analytical formulas, and confirms the expected uniform field and micro-Newton force level.

This example derives the analytical eddy current density in a copper disc placed in a sinusoidally varying vertical magnetic field, then reproduces it in EMWorks using an AC Magnetic study. With appropriate flux boundary conditions, wound coil excitation, and refined meshing, the simulated current density matches the theoretical distribution.

This example derives the equivalent capacitance of a parallel-plate capacitor filled with three dielectric materials, then models the same geometry in EMWorks. By assigning Teflon, polyimide, and nylon to separate regions and enabling capacitance calculation.

This example applies the superposition principle to a uniformly charged sphere containing an off-centered spherical cavity. The analytical solution shows a uniform electric field inside the cavity, proportional to the offset vector. EMAG Electrostatic simulation reproduces this result by modeling volume charge density, surrounding air, and appropriate boundary conditions, confirming theory with excellent agreement.

This example derives the Biot–Savart expression for the axial magnetic flux density of a circular current loop, then validates it in EMAG using a thin toroidal solid coil. By modeling a 100 mm radius loop with 100 A, defining a solid coil, and probing B along the centerline, the simulated results closely match the analytical results.

This application note derives the magnetic field on the axis of a finite-length cylindrical coil using the Biot–Savart law, then validates the formula with an EMAG Magnetostatic study. A 200 mm, 100-turn coil carrying 10 A is modeled with a wound-coil definition and controlled mesh in a surrounding air domain. The comparison between theoretical and simulated B-field along the axis shows excellent agreement, confirming EMAG’s accuracy for solenoid and electromagnet design.

This application note shows how electromagnetic simulation supports modern engineering education and research. It highlights how EMWorks helps students and academics design and analyze motors, antennas, coils, magnetic bearings, and more using virtual prototypes instead of costly hardware. Real university case studies demonstrate faster development, deeper physical insight, and better-performing designs.