平行板形电容器[Parallel Plate Capacitor] - 达人(其实～我是卧底，来自外星)

2005/03/20 | 平行板形电容器[Parallel Plate Capacitor]
类别(Ω〖物理〗) | 评论(0) | 阅读(70) | 发表于 13:50: Given plates of area A separated by a distance d (and ignoring edge effects), the capacitance in cgs is
(1)

In MKS, the capacitance is given by by
(2)

where is the permittivity of free space.
Kirchhoff's formula for a circular parallel plate capacitor in cgs including edge effects is
(3)

(Landau and Lifschitz 1987, p. 19).

For sinusoidally driven circular plates, the electric field E must obey the wave equation.
(4)

where c is the speed of light. In cylindrical coordinates, the solution is
(5)

where is a Bessel function of the first kind, is a Bessel function of the second kind,k is the wavenumber, is the angular frequency, and A and B are constants. Using the boundary condition
(6)

so the solution is
(7); 0