载流圆线圈的磁场分布研究

Study on Magnetic Field Distribution of Current-carrying Coil

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.

The mathematical expressions of the magnetic field distribution in the plane and the axis of the toroidal circle are calculated by using the Biot-Savarts law, and the magnetic field distribution at the internal point of the plane of the current-carrying coil and the magnetic induction intensity is analyzed. The experimental results show that the size of the magnetic induction intensity at any point in the plane of the carrying coil is related to the radius of the coil and the distance from the point to the center. And the magnetic field on the axis of the current-carrying coil is weakened with the increase of the distance from the point to the center of the circle, and is sym-metrical with the two ends of the axis, which deepens the understanding of Biot-Savart s law. In addition, the use of software Mac Os Grapher auxi liary processing experimental data makes the conclusion more intuitive.