作者iyenn (晓风)
看板Physics
标题Re: [题目] 电磁学
时间Mon Nov 9 23:00:11 2009
※ 引述《yuchungyi (yi)》之铭言：
: [领域] 电磁学 (题目相关领域)
: [来源] Griffiths (课本习题、考古题、参考书...)
: [题目] Two infinite parrallel plates separated by distance s are at
: potential 0 and V0.Use Poission's equation to find the potential
: V at x=5 in the region between the plates where the space charge
: density is p=p0(x/s).The distance x is measured from the plate
: at zero potential
: (Use V0=10 s=10 p0=8.841921*10^-12 4πεo=9*10^-9)
: [瓶颈] 我觉得x=5位置的V不就刚好在V=0和V=V0=10的中间 所以此位置的V就等於
: (0+10)/2=5 但感觉应该没这麽简单 请大家帮帮我谢谢
: (写写自己的想法，方便大家为你解答)
---------------x=s V=V0
ε
ρ=p0(x/s) x=5 V=?
---------------x=0 V=0
d^2
---V=-P0(x/εs)
dx^2
-p0x^3
V = -------- + c1x+c2
6εs
V(0)=0 ,C2=0
-p0s^2 p0s V0
V(s)=V0=-------- +c1s , c1=------ + ----
6ε 6ε s
-p05^3
V(5)=-------- + 5c1
6εs
这样吗,错了我自D ?
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※ 编辑: iyenn 来自: 123.193.214.165 (11/09 23:13)