[理工] [電磁]-三題向量分析的超難題
^
-> aR -> ->
1. V = ----- , then ▽˙V = ? , for | R |≠0
-> 2
|R |
∞ ∞ ∞ 1 ->
and ∫ ∫ ∫ ---- ▽˙V dxdydz =?
-∞ -∞ -∞ 2π
^ ->
2. Find ∫[aR 3sinΘ]˙dS , among S is origin(0,0,0) used as center,
spherical surface radius of 5 .
(please use divergence theorem to solve and prove)
3. Check the divergence theorem for the function
2 ^ 2 ^ 2 ^
v=r sinΘaR + 4r cosΘaΘ + r tanΘaφ
Using the volume of the “ice-cream cone” shown in Fig.1
(the top surface is spherical , with radius R and centered at the orgin)
Figure: http://tinyurl.com/y8sz88d
這三題是算電磁學當中的向量分析部份最難的 ...不知道如何解題 有請高手賜教
謝謝~:)
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