Solenoid & electromagnet field calculator

Magnetic Field Simulation Tracker

Design custom solenoid and electromagnet coils with an exact Biot-Savart field solver - not a rough single-formula estimate. Centre field, on-axis profile and a live 2D field visualisation with quiver arrows and a colour-mapped flux density, updating as you tune turns, current, geometry and core material.

Metre2 Magnetic Field Simulation Tracker showing a relay coil (air core) configured in the rail on the left and its live 2D field visualisation with quiver arrows on the right

Exact Biot-Savart solution, not an approximation

The core solver uses the closed-form elliptic-integral solution for a circular current loop, superposed across the coil's turns - the same physics behind textbook solenoid formulas, verified against them and against an independent numerical line-integral in the app's own test suite.

Live 2D field visualisation

A colour-mapped flux-density heatmap with quiver arrows showing field direction and strength around the coil, plus a hover readout that reports the exact field at any point on the canvas.

Turns, current, geometry and core material

Set turns, current, coil radius and length, then compare air, mild steel, iron or ferrite cores (or enter a custom relative permeability) to see how much a core boosts the field - modelled as a linear, unsaturated upper bound.

Results in the units you think in

Centre field in tesla, millitesla and gauss, percentage reached versus the infinite-solenoid approximation, and a multiple of Earth's field for a quick sense of scale.

Save and compare coil designs

Save named coil configurations as you iterate, then load, duplicate or delete them to compare turns/current/geometry trade-offs side by side.

Built for a real window, light or dark

A workbench layout that spreads the config rail and the field canvas across a wide window, with a light/dark toggle that remembers your choice.

Magnetic Field Simulation Tracker, in practice

Frequently asked questions

Do I need to install anything to use Magnetic Field Simulation Tracker?

Magnetic Field Simulation Tracker is a Windows desktop app, free to try from the Microsoft Store.

Does my Magnetic Field Simulation Tracker account work with Vector and Forma?

Yes - Magnetic Field Simulation Tracker uses the same shared Metre2 account as Vector, Forma and every other Keystone app. Sign in once and it works everywhere.

How accurate is the field calculation?

The core solver is an exact closed-form solution (complete elliptic integrals) of the Biot-Savart law for circular current loops, not a rough approximation - it matches textbook closed-form solenoid formulas to within a fraction of a percent. Ferromagnetic core permeability is modelled as linear (unsaturated), which is an optimistic upper bound - real cores saturate at high field strength, so treat core-boosted results as a best case rather than a certified figure.

What magnet geometries does it support?

Solenoid and electromagnet coils - a single winding of N turns over a coil length and radius, with an optional ferromagnetic core. It doesn't model permanent magnets, Helmholtz pairs, or arbitrary multi-coil layouts.

Ready to try Magnetic Field Simulation Tracker?