Hankel transform application for calculation of ring coils inductance. Part 2
DOI:
https://doi.org/10.3103/S0735272720070018Keywords:
electromagnetic acoustic transducer, inductance, ring coil, Maxwell equations, Hankel transform, ferromagneticAbstract
Changes in the geometric parameters of ring coils, which are an essential element of transducer design used for non-destructive testing of ferromagnetic metals, entail a change in the self-induction coefficient (inductance) of alternating magnetic field source. In the article, on the basis of proposed approach [1], the equations for determining the ring coils inductance are obtained, allowing to take into account real dimensions of inductors. They are equally suitable for situations where coil is located in an empty space, as well as near a conductive ferromagnetic or non-ferromagnetic metal. Calculating the inductance of ring coil located near magnetized, conductive ferromagnetic plate, we found that circuit inductance is the frequency-dependent complex-valued function vs distance between plate and ring coil. The measurements of the inductance of a coil located above a conductive ferromagnetic plate with a change in the non-contact value were carried out. The obtained results testify to physical meaningfulness and reliability of theoretical statements and calculations. These qualitative and quantitative results correspond to generally accepted energy definition of self-induction coefficient.References
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