Biot–Savart from scratch
Derive the magnetic field of a current element and build up to the closed-form mutual inductance of two coaxial loops.
A curated path through Biot–Savart fundamentals, the eight-topology workflow and deeper research notes. Built for engineers new to WPT and for practitioners tuning production coils.
Derive the magnetic field of a current element and build up to the closed-form mutual inductance of two coaxial loops.
Why the eight topologies look the way they do — uniformity at the centre versus high-coupling at distance.
The single number every WPT design lives or dies on. What it means, how it scales with spacing, and why ½ is hard.
Pick a topology. Set geometry. Run. Export. End-to-end on the web app, no setup.
Use the parameter-sweep API to render a k-vs-h curve and pin the operating point.
Walk through the four export targets — PDF, KiCad, DXF, SPICE — and what to drop into your toolchain first.
BLX-α crossover, tournament selection, NSGA-II Pareto. How to read the convergence curve and when to restart.
How the same H-tensor drives 2d_plane, vector_field and 3d_volume modes — and what LOD 0/1/2 actually means.
How we benchmark mutual inductance to ±1–2 % against the 2008 IEEE Trans. Magnetics dataset.
SAE J2954 alignment, gap and misalignment trade-offs. Worked example from a square-DTC ground assembly.
Sub-mm coil design for medical implants — Q targets, coupling under tissue load, regulatory hooks.
Designing the receive coil when budget is microwatts. Rectifier choice, matching network sizing.