Application of integral transforms to the analysis of the magnetic field of a spherical coil

The paper discusses the application of the integral transforms method to the analysis of the magnetic field produced by a system of conductors with finite thickness. An example is given for the determination of the magnetic field due to a spherical coil using the Mellin tramsform of the current density distribution function. Obtained formulas for the magnetic field distribution are very useful for numerical computation. In many cases it is necessary to determine the magnetic field of the current flowing in a coil of finite dimensions. It concerns the determination of the field inside and outside the conductors.