摘要
本文根据电势叠加原理和电势多级展开理论,利用数学软件Maple 13.0强大的符号处理功能,详细推导了均匀带电圆盘和非均匀带电球体的电势分布。结果表明:在计算较复杂的电势问题时,该数学软件简单方便,有助于大学师生对复杂物理问题的理解。
Maple 13.0 is a mathematical software with powerful symbolic computation.In this paper,based on the principle of superposition of electric potential and the technique of multistage expansion,analytic expressions for the electric potential distribution of a disk carrying a uniform surface charge and that of a sphere carrying a non-uniform surface charge are derived.The results show that Maple is particularly powerful for physical problems in calculus involving extensive calculation and it helps undergraduates to understand the underlying physics.
出处
《湖北第二师范学院学报》
2011年第8期115-118,共4页
Journal of Hubei University of Education
关键词
多级展开
电势
勒让德多项式
multistage expansion
electric potential
Legendre polynomial
