作者Cory2030 (Corry)
看板Physics
标题[题目] 电磁学Seperation of Variables的BC
时间Wed Dec 16 20:34:11 2009
[领域]电磁学 (题目相关领域)
[来源]课本习题 (课本习题、考古题、参考书...)
[题目]A infinite rectangular pipe.(长宽皆为a躺在xy平面 z由0到无限大的长方形 )
There is no charge inside the piple. The electric potential at z=0 is
Vo(x,z)and the electric field vanished at z-->无限大 y=0,and y=a. The
x component of the electric field vanished at x=0 and x=a
(a) Find V(x, y, z)
(b) Let Vo(x,y)=Acos(pi*x/a)sin(pi*y/a)+B(pi*x/a)sin(2pi*y/a) find V(x,y,z)
(c)Condider the case when A and are both zero. What is V(x,y,z)? Can you
result from general properties of harmonic funtion?
[瓶颈] (写写自己的想法，方便大家为你解答)
学校期中考题 老师改一下边界条件就不会了= =
(a)不知道V(x,0,z) 跟 V(x,a,z) 的边界条件 我都写0被打叉叉
(b) (c) 希望能提点一下
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 140.115.203.93
1F：推 asis:eletric field=0 不是 potential=0 应该是potential=常数 12/16 21:39
2F：推 asis:题目的Vo()里面的变数是不是写错了？ 12/16 21:43
3F：→ Cory2030:嗯 是我打错 12/16 21:50
4F：→ Cory2030:是Vo(x,y) 12/16 21:51
5F：推 cashkaop:Z方向可以换成Sinh cosh来TRY看看 会有意想不到的收获 12/17 00:56