A New Method of Measuring Strong Currents by Their Magnetic Field

In many situations, it is diicult to measure strong currents directly, so the currents are measured by their magnetic elds (e.g., by sensors glued onto the cable surface). If we have only one cable, then it is easy to reconstruct the current from the magnetic eld. But in many real-life situations, there is a neighboring cable whose current is also unknown. Moreover, the cables are hanging freely, so their distance is not precisely known. We show that in such situations, it is suucient to have two pairs of sensors that measure magnetic eld; the unknown current can be uniquely reconstructed from the corresponding measurement results by applying a simple computer algorithm.