题目内容
如图所示,A、B为两竖直的金属板,C、D为两水平放置的平行金属板,B板的开口恰好沿CD的中分线
,A、B板间的加速电压
V,C、D板间所加电压为
V,一静止的碳离子(
kg,
C),自A板经加速电场加速后,由B板右端口进入CD板间,其中C、D板的长度L="2.4" m,碳离子恰好沿D板右边缘飞出,进入E右侧匀强磁场区域,最后在P点沿水平方向飞出磁场区。已知磁场的磁感应强度B="1" T,方向垂直纸面向里。求:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241140006972427.jpg)
(1)在偏转电场中的运动时间;
(2)碳离子在D板右边缘飞出偏转电场时速度的大小及方向。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000619254.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000635459.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000650481.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000666453.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000682511.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241140006972427.jpg)
(1)在偏转电场中的运动时间;
(2)碳离子在D板右边缘飞出偏转电场时速度的大小及方向。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000713798.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000728728.gif)
(1)设碳离子进入偏转电场时的速度为场,则![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000744557.gif)
解得
m/s
在偏转电场中的运动时间
。
(2)设出偏转电场时破离子速度大小为v,由动能定理得![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000791710.gif)
解得
m/s
设v与水平方向夹角为
,则
。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000744557.gif)
解得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000760358.gif)
在偏转电场中的运动时间
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000713798.gif)
(2)设出偏转电场时破离子速度大小为v,由动能定理得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000791710.gif)
解得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000806512.gif)
设v与水平方向夹角为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000822200.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114000728728.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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