Component magnetic probes in a nonuniform field

Abstract

The theory of magnetic-probe operation in a nonuniform field is given assuming that a probe has an arbitrary physical nature.Magnetic probes are often used, for example, in flaw detection, to investigate static magnetic fields that are nonuniform within the probe's working zone. Below we present a theory of probe operation in such situations.A similar problem was solved in [1] for a particular case, specifically, for a ferroprobe with cores whose diameters were much smaller than their lengths. The formulas that we derive in the present article are more general than those derived in [1], since they are based on the black-box method; i.e., it is assumed that the probe is "hidden" inside some mobile small-sized box that is accessible for examination and is connected with a flexible cable to an stationary electronic unit. The interior of the box and hence the probe's operating principle (whether the Hall effect or the ferroprobe effect, etc., is used) were considered unknown.