Weber per henry to Megaampere

When designing a transformer, you start with the required flux (webers) to transfer power at a given voltage and frequency. The core's inductance (henries) is set by geometry and material. Dividing flux by inductance gives the magnetising current that must flow — and if it is too high, the core saturates and the transformer overheats.

One weber is the magnetic flux that, when reduced to zero in one second, induces one volt in a single-turn coil. A small transformer core might carry 0.001 Wb (1 mWb) of peak flux. The Earth's magnetic field through a 1 m² loop is about 50 μWb. One weber is actually an enormous amount of flux in everyday terms.

If the calculated magnetising current (Wb/H) exceeds design limits, the core is approaching magnetic saturation. The inductance drops sharply, current spikes further, and the inductor or transformer overheats. Solutions include using a larger core, higher-permeability material, an air gap, or reducing the operating flux density.

Every magnetic core has a saturation flux density (e.g., 1.5 T for silicon steel, 0.3 T for ferrite). When flux approaches this limit, permeability collapses, inductance plummets, and Wb/H (current) shoots up. Power supply designers must ensure peak flux stays 20–30% below saturation under worst-case conditions.

An air gap dramatically increases the reluctance of the magnetic circuit, which lowers inductance (H) for the same core geometry. For a given flux (Wb), the magnetising current (Wb/H) increases — but the core is far harder to saturate. Power supply designers deliberately add 0.1–1 mm air gaps to ferrite cores so the inductor can handle higher peak currents without the flux density hitting saturation limits.

The Z Machine stores energy in massive capacitor banks (about 22 MJ) then discharges it through a converging array of transmission lines into a tiny central target in roughly 100 nanoseconds. The extremely short pulse duration means the instantaneous current reaches 26 MA, but only for microseconds. The peak power briefly exceeds 80 TW — more than the entire world's electrical grid.

At megaampere levels, the magnetic field generated by the current itself becomes an overwhelming force. In Z-pinch experiments, the current's own magnetic field crushes a metal cylinder inward at velocities exceeding 600 km/s, reaching pressures found inside giant planets. The material is compressed, heated to millions of degrees, and emits intense X-rays.

In a tokamak, the plasma current generates a poloidal magnetic field that, combined with external toroidal fields, creates the helical field geometry needed to confine plasma at 150 million degrees C. ITER needs 15 MA to maintain this confinement long enough for deuterium-tritium fusion to produce net energy.

The most extreme positive lightning superbolts — occurring over oceans and detected by satellite — may briefly reach 0.5–1 MA peak current. These are extraordinarily rare, representing perhaps 1 in 1,000,000 lightning strokes. A typical bolt is "only" 20–30 kA, about 50 times weaker.

Nobody puts a clamp meter around 26 MA. Instead, they use Rogowski coils (air-core toroids around the conductor) or B-dot probes that measure the rate of change of the magnetic field. The current is then calculated from Maxwell's equations. These sensors can respond in nanoseconds and survive the brutal electromagnetic environment.