Mutual Inductance of Thin Coaxial Circular Coils with Constant Current Density in Air (Filament Method)

This paper deals with an efficient and fast approach for determining the mutual inductance between thin current loops (filamentary coils, thin cylindrical coils, thin disk coils and all possible combinations). This approach is based on the filament method where conductors are approximated by a set of Maxwell’s coils. The resulting equations are expressed in term of the complete elliptical integrals of the first and second kind and permit fast calculation of the mutual inductance for systems of interests. These new formulas are accurate and simple for a wide range of applications. Computational cost and accuracy of this technique will be also discussed. Key-Words: Computational electromagnetics, mutual inductance, filament circular coils, disk coils, thin wall solenoids.