题目内容
一边长为L的正方形单匝线圈沿光滑水平面运动以速度
开始进入一有界匀强磁场区域,最终以速度
滑出磁场。设线圈在磁场中的速度方向始终与磁场边界垂直,磁场的宽度大于L。刚进入磁场的瞬时,线圈中的感应电流为
。求线圈刚刚滑出磁场时的电流
和线圈进入过程中通过线圈某一截面的电量q。![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241143282713296.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114328209200.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114328240205.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114328256205.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114328271206.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241143282713296.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114328334337.gif)
由
得:
,
在进入或穿出磁场的过程中通过线圈某一截面的电量
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114328412770.gif)
又因为
所以
。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114328365359.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114328396339.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114328396352.gif)
在进入或穿出磁场的过程中通过线圈某一截面的电量
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114328412770.gif)
又因为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114328365359.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114328334337.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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