利用毕奥-萨伐尔定律计算出载流圆线圈平面内和轴线上磁场分布的数学表达式,并结合实验数据分析研究载流圆线圈平面内部分场点的磁场分布情况以及轴线上磁感应强度的大小.结果表明,载流圆线圈平面内任意点的磁感应强度的大小与线圈半径...利用毕奥-萨伐尔定律计算出载流圆线圈平面内和轴线上磁场分布的数学表达式,并结合实验数据分析研究载流圆线圈平面内部分场点的磁场分布情况以及轴线上磁感应强度的大小.结果表明,载流圆线圈平面内任意点的磁感应强度的大小与线圈半径和该点到圆心的距离有关,而载流圆线圈轴线上的磁场随场点到圆心距离的增大而逐渐减弱,且与轴线两端成对称分布.从而进一步加深了对毕奥-萨伐尔定律的认识.此外,采用软件Mac Os Grapher辅助处理实验数据,使结论更具直观性.展开更多
Current-carrying coils are basic elements in electromagnetic equipments, for example, in high field magnets from high temperature superconducting wires or tapes. In the assembly of these systems and their current-carr...Current-carrying coils are basic elements in electromagnetic equipments, for example, in high field magnets from high temperature superconducting wires or tapes. In the assembly of these systems and their current-carrying operation, unavoidable mis- alignment and shift from the original position can be induced by disturbances such as the imbalance of magnetic force due to safety problems. For two current-carrying coils with non-coplanar axes, the analytic expression of the magnetic force between the two coils is presented according to the rule of Ampere circulation and the Biot-Savart law. Based on the expression, the dependence of the magnetic force on the size and the relative position of each other is further investigated, and the variation of the magnetic force is obtained with the above parameters.展开更多
文摘利用毕奥-萨伐尔定律计算出载流圆线圈平面内和轴线上磁场分布的数学表达式,并结合实验数据分析研究载流圆线圈平面内部分场点的磁场分布情况以及轴线上磁感应强度的大小.结果表明,载流圆线圈平面内任意点的磁感应强度的大小与线圈半径和该点到圆心的距离有关,而载流圆线圈轴线上的磁场随场点到圆心距离的增大而逐渐减弱,且与轴线两端成对称分布.从而进一步加深了对毕奥-萨伐尔定律的认识.此外,采用软件Mac Os Grapher辅助处理实验数据,使结论更具直观性.
基金Project supported by the National Natural Science Foundation of China(No.11372096)the Program for Research Fund for the Doctoral Program of Higher Education of China
文摘Current-carrying coils are basic elements in electromagnetic equipments, for example, in high field magnets from high temperature superconducting wires or tapes. In the assembly of these systems and their current-carrying operation, unavoidable mis- alignment and shift from the original position can be induced by disturbances such as the imbalance of magnetic force due to safety problems. For two current-carrying coils with non-coplanar axes, the analytic expression of the magnetic force between the two coils is presented according to the rule of Ampere circulation and the Biot-Savart law. Based on the expression, the dependence of the magnetic force on the size and the relative position of each other is further investigated, and the variation of the magnetic force is obtained with the above parameters.
