Search

This article will present exact analytical expressions for the components of the magnetic field from an ideal and conically shaped permanent magnet that may be employed for parametric studies, optimization studies, as well as for design purposes. These types of magnets find applications in areas where the magnetic flux needs to be concentrated in a smaller region of space. If conically shaped permanent magnets are manufactured from the Neodymium material, for example, then strong magnetic fields are possible. This becomes relevant in applications such as nuclear magnetic resonance (NMR), sensor technology, and magnetometers. [ABSTRACT FROM AUTHOR]

In this paper, an improvement for calculating the self-inductance of circular coils of rectangular cross section is presented. An integral of elementary functions is applied to replace the Bessel and Struve functions in the integrand of the inductance expression, and the term of improper integral without the exponential factor is solved to a closed form which consists of the complete elliptic integrals of the first and second kind and generalized hypergeometric functions. Due to this method, the main difficulties of the numerical evaluations of the inductance expression are overcome. Excellent agreement with published method is confirmed by the numerical comparisons and the calculations can be accelerated to several tens to hundreds of times depending on the shape factors of the coils. Similar expressions of the special cases (thin-wall solenoids and disk coils) are also given and compared with previous methods. Furthermore, the asymptotic behaviors of the special coils which tend to be a circular ring are obtained and numerically validated. [ABSTRACT FROM AUTHOR]