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

机译:基于拉普拉斯方程的电容系数的几何性质和某些性质

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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 to students in an intermediate course on electricity and magnetism. The properties of Laplace's equation permits us to determine many properties of the capacitance matrix. Some examples are given to illustrate the usefulness of these properties. (C) 2008 American Association of Physics Teachers.
机译:大多数导体和磁性教科书都推导了一组导体的电容系数是几何因数的事实。我们提出了一个基于拉普拉斯方程的替代推导,学生可以在电和磁的中间课程中进行学习。拉普拉斯方程的性质允许我们确定电容矩阵的许多性质。给出了一些示例以说明这些属性的有用性。 (C)2008年美国物理教师协会。

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