2005/02/08 | 有限平行平面[Finite Parallel Planes]
类别(Ω〖物理〗) | 评论(0) | 阅读(20) | 发表于 16:49
Given two finite parallel planes of length l, width w, area A = lw, and separation d, one with total surface charge and the other with , the electric field can be found in cgs (ignoring edge effects) from
(1)

so
(2)

The capacitance (ignoring edge effects) then follows from the equation for voltage
(3)

as
(4)

If a current I were allowed to flow, the magnetic field is easily found as
(5)

where c is the speed of light, so
(6)

The inductance would then follow from
(7)

as
(8)

In MKS, the corresponding quantities as
(9)

(10)

(11)

(12)

(13)

(14)

where is the permittivity of free space and is the permeability of free space.


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