题目内容
如图所示,质量为m带电量为q的带电粒子,从离子源以很小的速度进入电势差为U的电场中加速后垂直进入磁场强度为B的磁场中,不计粒子从离子源射出时的速度,求:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241222540153996.jpg)
(1)带电粒子进入磁场时的速度大小?
(2)带电粒子进入磁场的偏转半径?
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241222540153996.jpg)
(1)带电粒子进入磁场时的速度大小?
(2)带电粒子进入磁场的偏转半径?
(1)![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122254031552.gif)
(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122254124610.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122254031552.gif)
(2)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122254124610.gif)
(1)根据动能定理:
解得:![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122254031552.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241222541563988.jpg)
(2)带电粒子做匀速圆周运动:![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122254171520.gif)
所以:r=![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122254187714.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122254124525.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122254031552.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241222541563988.jpg)
(2)带电粒子做匀速圆周运动:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122254171520.gif)
所以:r=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122254187714.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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