广东第二师范学院学报
廣東第二師範學院學報
엄동제이사범학원학보
Journal of Guangdong Education Institute
2013年
5期
46~50
,共null页
带电圆线圈 电场强度 勒让德级数 收敛速度 叠加原理
帶電圓線圈 電場彊度 勒讓德級數 收斂速度 疊加原理
대전원선권 전장강도 륵양덕급수 수렴속도 첩가원리
charged circular coill electric tield strength; Legenclre seres; convergence rate;superposition principle
通过绘制电势和电场强度的空间分布图,对均匀带电圆线圈的静电场勒让德级数解的收敛速度进行数值研究.结果表明：电场强度勒让德级数解的收敛十分缓慢,用此级数绘制出电场强度的空间分布图远不如直接用叠加原理快捷.
通過繪製電勢和電場彊度的空間分佈圖,對均勻帶電圓線圈的靜電場勒讓德級數解的收斂速度進行數值研究.結果錶明：電場彊度勒讓德級數解的收斂十分緩慢,用此級數繪製齣電場彊度的空間分佈圖遠不如直接用疊加原理快捷.
통과회제전세화전장강도적공간분포도,대균균대전원선권적정전장륵양덕급수해적수렴속도진행수치연구.결과표명：전장강도륵양덕급수해적수렴십분완만,용차급수회제출전장강도적공간분포도원불여직접용첩가원리쾌첩.
By plotting the spatial distribution of the electric potential and electric field strength, the convergence of Legendre series for the electrostatic field of the charged circular coil is studied. The numerical results show that the convergence of Legendre series of the electric field strength is very slow. It is much easier to draw accurately the space distribution map of the electric field strength by using the superposition principle and direct integral method than using the Legendre series.
