Uniform magnetic field has many applications in scientific research and
engineering technology. Based on Biot-Savart law and the superposition
principle of magnetic
field,the mathematical expressions of magnet- ic induction intensity
created by four
parallel,coaxial and current-carrying square coils of equal size ( FPCSCS)
are derived. By
using Taylor series expansion method,the conditions,under which the FPCSCS
generates a mag-
netic field of the best uniformity,have been found. The uniformity of
magnetic fields
produced by the FPCSCS in three cases is discussed. The results show
that,in the optimum
situation,the FPCSCS can generate a very homoge- nous magnetic field with
magnitude relative
deviation of less than 0.01% and direction deviation of less than 0.01
degree. Compared
with the homogenous magnetic fields of square Helmholtz coil,the magnetic
field of FPCSCS has
obvious advantages,which are greater magnitude and better uniformity.