科技创新与应用2026,Vol.16Issue(3):9-12,4.DOI:10.19981/j.CN23-1581/G3.2026.03.003
柱坐标下毕奥-萨伐尔定律及其应用
摘要
Abstract
Beginning with the differential form of the Biot-Savart law,the expression of the Biot-Savart law in cylindrical coordinates is derived in detail,and this form is used to calculate the magnetic field distribution in space generated by axisymmetric current-carrying wires such as finite length straight wires,current-carrying circular coils,and infinitely long current-carrying cylinders.The results demonstrate that the cylindrical coordinate representation of the Biot-Savart law offers greater convenience for determining magnetic fields produced by axially symmetric current conductors.Notably,in calculating the magnetic field generated by a current-carrying circular coil at any point in space,the final result can be obtained by only calculating the integral of the radial and angular components of the magnetic field.关键词
毕奥-萨伐尔定律/柱坐标/轴对称/载流圆线圈/载流圆柱面Key words
Biot-Savart law/cylindrical coordinate/axial symmetry/current-carrying circular coil/current-carrying cylinder分类
数理科学引用本文复制引用
王伟懿,何玲逸,李瑶,夏继豪,李子良..柱坐标下毕奥-萨伐尔定律及其应用[J].科技创新与应用,2026,16(3):9-12,4.基金项目
中国矿业大学(北京)教学改革项目(J2507) (北京)
中国矿业大学(北京)大学生创新训练项目(202407008) (北京)