Uniformity of the magnetic field of systems of regular polygons with current

Based on the Biot-Savard-Laplace law, an expression is obtained for magnetic induction along the axis of symmetry of two regular equivalent axisymmetric arbitrary polygons with current, as well as the conditions for zeroing the second derivative in the Taylor series expansion at the center of the system. It is shown that such systems have almost the same uniformity of the magnetic field.