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)