用書:Physics for scientists and engineers(with modern physics)(ninth edition)
作者:Raymond A. Serway/ John W. Jewett
參考書籍/作者:大學物理/Zill Y. Chen
筆記作者:曾理碩/啾咪喵
分享模式:創用 cc 姓名標示-相同方式分享
(cc 分享限筆記、作業解答,不包括連外文件、作業)
部格相關連結:
[總單]課程總單
[物理]總單
[總單]課程總單
[物理]總單
前言:
因為是筆記,通常以自己不會的地方做加強
主要寫概念
而較多複雜邏輯推理的地方會略過
因此使用時請作為導引手冊
請務必搭配課本使用(上方有連結)
==========(以下為筆記內容,因為格式關係,完整資料請下載PDF)==========
= EAcos
(因為面積方向(垂直面)必須與電場平行)
=
(
是每一塊微小的面積的向量)
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24.1 electric flux 電通量:電場與其通過封閉曲面截面積的乘積
取一小段面積:
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加總全部:
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24.2 高斯定律
可由證明證得外部電荷造成電通量會被抵銷 (因為封閉曲面)
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單位:電場*面積 (N*m2/C)
使用原因: 電場不易測量,但面積、代電粒子相對容易
利用高斯在”對稱”情況下,我們能將公式左側拆開,求得電場
使用條件: 各點電場單位面積通過電場相等
24.3 應用
點電荷:(高斯面為球體)
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E·4
= 
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E
=
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線電荷:(高斯面為柱體)
柱高:h
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E·2
= 
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E
=
·
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面電荷:(高斯面為平行電荷任意形狀平面)
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E·2A =
兩個方向的面積,所以*2
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E
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體電荷:(高斯面為球體,分成在電荷內、外)
電荷球半徑 = a
r < a:
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E·4
=
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E
=
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(E
)
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r > a:
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E·4
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E =
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(E
)
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備註:
金屬可以自由移動,所以金屬內沒有電場
線密度:λ ; 體密度:
; 高斯面半徑:r
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球表面積公式:4
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球體積公式:
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變化: 雙殼層:照寫,注意金屬物質內部無電場
多面無線電荷面:不管距離只管電場方向,可直接抵銷
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