К вопросу о коэффициенте взаимной индукции соленоида и кругового контура с параллельными осями

Abstract

Object and purpose of research. Current recommendations on calculation of mutual inductance between solenoids and coiled circuits with parallel axes are shown and compared. Advisability of such verification for a limiting case when the axes are aligned is revealed. Materials and methods. Verification of these recommendations for cases of zero axial displacement is performed on the basis of well-tested expressions. For this purpose alternative expressions for the mutual inductance of the coaxial circuit and solenoid and two circuits. Main results. A number of significant discrepancies are identified between numerical values including difference in signs for the case of a solenoid and a circuit with parallel axes. For circuits with parallel axes, attention is focused on the necessity to use auxiliary tables, which confirms the complexity of numerical estimation in this case either. Conclusion. In terms of the identified flaws, the conclusion was drawn about the advisability of using computational methods for configurations with parallel axes. For circuits with parallel axes, as follows from the written expression, it is sufficient to apply a single numerical integration.