共轴均匀带电圆环间相互作用力的迭代计算

Iterative calculation of the interactive force between two common axis uniform charged rings

利用带电圆环电场的轴对称性,联合运用静电场的高斯定理和安培环路定理,以轴线上的场强值为初值,巧妙地导出了均匀带电圆环空间电场的无穷级数表达式,进而计算出了共轴均匀带电圆环之间的相互作用力.

Based on the Gauss theorem and Ampere loop theorem and combined with the axial symmetry axis of electric field, we derive the electric field of uniform charged ring by using the initial field intensity value on the axis. Then, the interactive force between two common axis uniform charged rings is calculated iteratively.