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The results were compared with those obtained by numerical calculation, finding a good agreement. An experimental setup of the proposed circuit was constructed and its magnetic field was measured. From the results obtained, we propose an electric circuit formed by pairs of isolated conducting loops tightly wound around a pair of conical surfaces, calculating numerically the magnetic field produced by this system and its heterogeneity. It is demonstrated analytically that the angle of the conical surface that produces a nearly homogeneous magnetic field coincides with that of a pair of loops that fulfills the Helmholtz condition. The analysis is based on the expansion of the magnetic field in terms of Legendre polynomials. Salazar, F J Nieves, F J Bayón, A Gascón, FĪn analytical study of the magnetic field created by a double-conical conducting sheet is presented. Magnetic field homogeneity of a conical coaxial coil pair.
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