作者ROGER2004070 (~筑梦之路~)
看板TransPhys
标题[电磁]
时间Thu Jun 1 19:57:05 2006
A conducting sphere of radius R and charge Q covered by a dieletric
spherical shell of dieletric constant k with outer radius 2R
问:How much energy is needed to build up this electrical field distribution?
这题只有答案 没有算式 但我算的跟答案有些许不同
有没有空闲的大大要帮我CHECK一下哪里有问题?
我是用能量密度法来算的
1.r < R , E = 0
Q 2R
2.R < r < 2R , E = -------------- , Ue=∫ 1/2(kε)E^2 * 4πr^2 dr
4π(kε) r^2 R
Q^2
= -------------
16π(kε)R
Q ∞
3.r > 2R , E = ---------- , Ue=∫ 1/2(ε)E^2 * 4πr^2 dr
4πεr^2 2R
Q^2
= ------------
16π(ε)R
然後2个再相加.....
Q^2
不过答案是给 ----------(1/2 + 1/K)
16πεR
先谢了~
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1F:推 plasmas:积分机错了喔 06/01 20:17
2F:→ plasmas:sorry 应该是答案错了 06/01 20:20
3F:推 ROGER2004070:嗯 我这样算应该是没错吧@@ 06/02 19:48