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第一章 静电场 公式集1、最小的电荷量 叫“元电荷” e=1.6*10-19C 一个电子所带的电荷量为1e2、库仑定律 F = kQq /r2 k:静电力常量 Q:源电荷 q:试探电荷3、电场强度(矢量) E = F /q = kQ /r2 E的方向与正电荷在该点所受的静电力的方向相同4、电场线 1)、电场线上每点的切线方向 表示该点场强的方向。 2)、电场线不相交。 3)、电场线的疏密 或等势面的间距小和大 都表示场强的弱和强。 4)、匀强电场的电场线是间隔相等的平行线。 5)、电场线指向电势降低的方向,即由电势高的等势面指向电势低的等势面。5、静电力做的功 等于电势能的减少量 WAB = EPA - EPB = q E dAB = q UAB dAB:AB两点沿电场方向的距离电荷在某点的电势能,等于静电力把它从该点移动到零势能位置时所做的功。6、电势(标量) φ= EP /q 电荷在电场中某一点的电势能 与它的电荷量的比值,叫做这一点的电势。 电势的大小与场强的大小没有必然的联系。++++++++------E=0+E≠0 E=0 E=0E=07、等势面 1)、等势面一定与电场线垂直,即与场强方向垂直。 2)、同一等势面上移动电荷时,静电力不做功。 3)、等势面不相交。 4)、同一等势面,场强不一定相同。8、电压(电势差) UAB = φA - φB9、等势体 表面为同一等势面,所有内部场强处处为0,所有内部没有电荷。拓展:内外表面为两个不同的等势面,环内场强为0,而中间有场强。10、电势差与场强的关系 UAB = E d⊥ E:匀强电场 d⊥:AB两点沿场强方向的距离 即匀强电场中两点间的电势差 等于电场强度与这两点沿电场方向的距离的乘积。 E = UAB /d⊥ 即电场强度在数值上等于沿电场方向每单位距离上降低的电势。11、电容C = Q /U Q:单一极板 带电量的绝对值电容在数值上等于使两极板间的电势差为(每)1V时,电容器需要带的电荷量 C =εr S /(4πk d ) εr:电介质的相对介电常数 k:静电力常量12、U = 4πk d Q/(εr S) E = 4πk Q/(εr S) 13、带电粒子的加速 动能定理 mV2 /2 = q UAB(静电力做功)14、带电粒子的偏转 加速度 a = F /m = qE /m = qU /(md) 偏移距离 y = a t2 /2 运动时间 t = l /V0 偏转角 tanθ= V⊥ / V0 V⊥= a t
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