题目内容
如图12-4-12所示,在光滑绝缘的水平面上,一个半径为10cm、电阻为
、质量为0.1kg的金属圆环以
的速度向一有界磁场滑去,磁场的磁感应强度为0.5T.经过一段时间圆环恰有一半进入磁场,共产生了3.2J的热量,则此时圆环的瞬时速度为__________
,瞬时加速度为_______
.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241139457994088.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113945752236.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113945752389.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113945768344.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113945784372.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241139457994088.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113945815365.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113945830444.gif)
圆环在进入磁场的过程中要产生感应电流,所以要受到磁场对它的作用,故圆环要克服安培力做功,克服安培力所做的功转化为圆环的热能.设此时圆环的瞬时速度为![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113945846193.gif)
根据功能的转化关系得:
代入解得:![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113945862406.gif)
此时的安培力
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241139458931287.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113945846193.gif)
根据功能的转化关系得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113945862683.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113945862406.gif)
此时的安培力
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113945877938.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241139458931287.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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