【摘要】 匀强磁场广泛应用于科学研究和工程技术.以毕奥-萨伐尔定律和磁场叠加原理为基础,建立了4个平行共轴等大载流方线圈磁场磁感应强度的表达式;用泰勒级数展开方法,发现了线圈系统磁场均匀性最好的条件;借助于数值计算,讨论了3种具体情况下线圈系统磁场的均匀性.结果表明:在最佳状态下,线圈系统能够在较大空间区域产生相对偏差小于0.01%、方向偏差小于0.01度的均匀性极高的磁场,并且磁场的均匀性和空间范围都明显优于方形亥姆霍兹线圈的磁场.更多还原

【Abstract】 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 magnetic 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 magnetic 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 homogenous 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.更多还原