弧形均匀线电荷三维静电场解析计算

ANALYTICAL CALCULATIONS OF THE 3-D ELECTROSTATIC FIELDS OF ARC UNIFORM LINE CHARGES

对空间任意位置的弧形均匀分布线电荷形成的三维静电场,导出解析计算公式。计算中涉及的积分,通过坐标变换技术和数学推导,转化为第1类或第2类椭圆积分。与数值积分比较,使计算更精确、更迅速。

This paper introduces the information about the calculations of the 3-D electrostatic fields of arc uniform line charges at any position in space. The integrals of expressions are transformed into elliptic integrals of the first or second class by means of coodinate transformation and strict mathematical deduction. By using such information more accurate and faster results can be obtained than using numerical integrals.