Calculation and error analysis for magnetic field parameters of a standard saddle coil

The calculation and measurement of field parameters and their derivatives play a very important role in designing and constructing saddle-shaped bipolar-magnetic coils [1]. In this article, new distribution function Fn and its derivatives along z-axis are defined, formularized and presented. Calculation and error analysis for the magnetic field parameters of a standard saddle coil are conducted and presented using the formulas. It is shown that the method and formulas can be used in calculating the field parameters, derivatives and the magnetic vector H for the bipolar-magnetic coils.