如图所示,竖直放置的、两平行板间存在着水平向右的匀强电场,、
间的距离为,板上有一水平小孔正对右侧竖直屏上的点,以为坐标原点建立
坐标系轴水平、轴竖直)。板与屏之间距离为,板与屏之间存在竖直向上的匀
强电场和匀强磁场。一个带正电的可视为质点的微粒从紧贴板右侧的点以某一
初速度竖直向上射出,恰好从小孔水平进入
右侧区域,并作匀速圆周运动,最终打在屏上的
处。已知微粒电量和质量的比值,初
速度,磁感应强度,板与屏之
间距离,屏上点的坐标为()。
不考虑微粒对电场和磁场的影响,取。求:
(1)匀强电场的大小;
(2)、间的距离的大小;
(3)微粒运动的总时问。
(1)
(2)
(3)
(1)微粒进入板右侧区域,作匀速圆周运动得;
······················································································· 2分
································································· 2分
(2)微粒作匀速圆周运动的半径为
··········································································· 2分
由几何关系得:································································· 2分
圆心角·················································································· 2分
···················································································· 2分
····························································· 2分
微粒从A到,竖直方向匀减速,水平方向匀加速
竖直方向: ············································ 2分
水平方向:························································· 2分
(3)匀速圆周运动的周期
·············································································· 2分
·········································································· 2分
(其他正确解法同样得分)