arXivDaily arXiv每日学术速递 周一至周五更新
arXiv physics/0702253physics.class-phphysics.ed-ph
收藏

基于拉普拉斯方程的电容系数的几何性质和某些性质

The geometrical nature and some properties of the capacitance coefficients based on Laplace's Equation

William J. Herrera, Rodolfo A. Diaz

摘要:

在大多数的电、磁教材中,都把一组导体的电容系数作为几何因子来推导。我们提出了一个替代推导拉普拉斯方程的基础上,是访问的电磁学的中级课程。拉普拉斯方程的性质允许证明电容矩阵的许多性质。一些例子来说明这些性质的有用性。

英文摘要:

The fact that the capacitance coefficients for a set of conductors are geometrical factors is derived in most electricity and magnetism textbooks. We present an alternative derivation based on Laplace's equation that is accessible for an intermediate course on electricity and magnetism. The properties of Laplace's equation permits to prove many properties of the capacitance matrix. Some examples are given to illustrate the usefulness of such properties.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑