推 asis:eletric field=0 不是 potential=0 應該是potential=常數 12/16 21:39
推 asis:題目的Vo()裡面的變數是不是寫錯了？ 12/16 21:43
→ Cory2030:嗯 是我打錯 12/16 21:50
→ Cory2030:是Vo(x,y) 12/16 21:51
推 cashkaop:Z方向可以換成Sinh cosh來TRY看看 會有意想不到的收穫 12/17 00:56
[領域]電磁學 (題目相關領域)
[來源]課本習題 (課本習題、考古題、參考書...)
[題目]A infinite rectangular pipe.(長寬皆為a躺在xy平面 z由0到無限大的長方形 )
There is no charge inside the piple. The electric potential at z=0 is
Vo(x,z)and the electric field vanished at z-->無限大 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?
[瓶頸] (寫寫自己的想法，方便大家為你解答)
學校期中考題 老師改一下邊界條件就不會了= =
(a)不知道V(x,0,z) 跟 V(x,a,z) 的邊界條件 我都寫0被打叉叉
(b) (c) 希望能提點一下
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