问题 问答题

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。

答案

(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)

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