大学物理静电场知识点总结.pdf
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1、大学物理静电场知识点总结1.电荷的基本特征:(1)分类:正电荷(同质子所带电荷),负电荷(同电子所带电荷)(2)量子化特性(3)是相对论性不变量(4)微观粒子所带电荷总是存在一种对称性2 电荷守恒定律:一个与外界没有电荷交换的孤立系统,无论发生什么变化,整个系统的电荷总量必定保持不变。3点电荷:点电荷是一个宏观范围的理想模型,在可忽略带电体自身的线度时才成立。4库仑定律:表示了两个电荷之间的静电相互作用,是电磁学的基本定律之一,是表示真空中两个静止的点电荷之间相互作用的规律121212301214q qFrr5 电场强度:是描述电场状况的最基本的物理量之一,反映了电场的基0FEq6 电场强度的
2、计算:(1)单个点电荷产生的电场强度,可直接利用库仑定律和电场强度的定义来求得(2)带电体产生的电场强度,可以根据电场的叠加原理来求解nii33i100iq11dqErEr44rr(3)具有一定对称性的带电体所产生的电场强度,可以根据高斯定理来求解(4)根据电荷的分布求电势,然后通过电势与电场强度的关系求得电场强度7电场线:是一些虚构线,引入其目的是为了直观形象地表示电场强度的分布(1)电场线是这样的线:a曲线上每点的切线方向与该点的电场强度方向一致b曲线分布的疏密对应着电场强度的强弱,即越密越强,越疏越弱。(2)电场线的性质:a起于正电荷(或无穷远),止于负电荷(或无穷远)。b不闭合,也不在
3、没电荷的地方中断。c两条电场线在没有电荷的地方不会相交8电通量:esEdS(1)电通量是一个抽象的概念,如果把它与电场线联系起来,可以文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M1
4、0I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K
5、7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A
6、4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z
7、3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:
8、CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9
9、V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3把曲面 S 的电通量理解为穿过曲面
10、的电场线的条数。(2)电通量是标量,有正负之分。9 高斯定理:sS01EdSi(里)q(1)定理中的E是由空间所有的电荷(包括高斯面内和面外的电荷)共同产生。(2)任何闭合曲面S 的电通量只决定于该闭合曲面所包围的电荷,而与 S以外的电荷无关10 静电场属于保守力:静电场属于保守力的充分必要条件是,电荷在电场中移动,电场力所做的功只与该电荷的始末位置有关,而与其经历的路径无关。由此可得LEdl011 电势能、电势差和电势:(1)电势能:试探电荷0q在电场强度为E的电场中的 P和 Q两点的电势能差:QPQ0PWWq Edl(2)电势差和电势:a 上 面P点 与Q点 的 电 势 差 可 以 表 示
11、 为QPQPQP0WWVVEdlq文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7
12、ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H
13、6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文
14、档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM
15、10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6
16、A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 H
17、G1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3对应于把电荷从P点移到 Q点电势的降低,地势的降低称为电势降落,也就是经常使用的电压的概念。b电势差具有绝对意义,完全有电场自身的性质
18、所决定,而电场中一点的电势只有相对意义,即相对于电势零点而言的。理论上,若电荷分布在有限空间内,可选择无限远处为电势零点。则电场中任一点P的电势可以表示为PPPVVVEdl12 等势面:(1)电场中电势相等的点连成的曲面,就是等势面。它形象地表示了电场中电势的分布。(2)等势面的性质:a电荷沿等势面移动,电场力不作功;b等势面与电场线处处正交。13 电势与电场强度的关系:lVEl和VVVE(ijk)Vxyz上式的负号说明电场强度与电势梯度的方向相反。14金属导体的静电平衡:文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 H
19、G1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I
20、6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7
21、ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H
22、6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文
23、档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM
24、10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6
25、A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3文档编码:CM10I9V6A5S6 HG1M10I6O7K7 ZF9A4H6W8Z3导体中自由电荷没有定向运动的状态,称为静电平衡。此时导体具有下列性质:(1)整个导体是等势体,导体的表面是等势面(2)导体表面附近的电场强度处处与表面垂直(3)导体内部不存在净电荷,所有过剩电荷都分布在导体表面上15 导体表面的电荷和电场:(1)对于孤立导体,表面凸出且曲率较大处,电荷密度
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