Abstract Electro-acoustic transducers of electromagnetic type are mainly use in modern non-destructive monitoring and technical diagnostics devices of metal products. The influence of a measuring device on parameters of recorded signals, i.e. on the measurement results, can be eliminated if the influence of dimensions of emitters and receivers of alternating magnetic field on the efficiency of generation and reception of elastic waves by the electromagnetic-acoustic method is known in advance. The article is devoted to the development and testing of a method for calculating the inductance of the electrical circuit of ring coils, which are used in electro-acoustic transducers of electromagnetic type. Improvement of computer technology allowed us to apply the methods of integral transformations, which are still considered unsuitable for practical calculations. The new method for calculating the inductance of an electrical circuit located near a conductive ferrimagnet is presented. The solution for the case of a ring coil in vacuum is shown. The reliability of the proposed method is confirmed by the results obtained, which fully correspond to the well-known statement of electromagnetic field in a conductive ferrimagnet.

中文翻译：

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用于计算环形线圈电感的 Hankel 变换应用。第1部分

摘要 电磁式电声换能器主要用于现代金属制品无损监测和技术诊断装置。如果交变磁场的发射器和接收器的尺寸对电磁声法产生和接收弹性波的效率的影响，则可以消除测量装置对记录信号参数，即对测量结果的影响预先知道。本文致力于开发和测试一种计算环形线圈电路电感的方法，用于电磁式电声换能器。计算机技术的进步使我们能够应用积分变换的方法，这些仍然被认为不适合实际计算。介绍了计算位于导电亚铁磁体附近的电路电感的新方法。显示了真空中环形线圈情况的解决方案。所获得的结果证实了所提出方法的可靠性，这完全符合众所周知的导电亚铁磁体中电磁场的陈述。