题目内容
如图所示,边长为
的单匝正方形线圈在磁感应强度为B的匀强磁场中,以
边为轴匀速转动,角速度为
,转轴与磁场方向垂直,线圈电阻为R。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241557473913164.jpg)
求:
(1)线圈从图示位置转过
的过程中产生的热量Q。
(2)线圈从图示位置转过
的过程中通过线圈某截面的电量
。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155746876278.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155747032364.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155747188282.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241557473913164.jpg)
求:
(1)线圈从图示位置转过
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155747485420.png)
(2)线圈从图示位置转过
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155747485420.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155747875311.png)
(1)
(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155748156543.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155748015788.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155748156543.png)
试题分析:(1)线圈转动中感应电动势的峰值
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155748374695.png)
感应电流的有效值为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241557485611147.png)
线圈转过
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155747485420.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155748920750.png)
所以在转动过程中产生的热量为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241557490451714.png)
(2)线圈转过
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155747485420.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241557492631453.png)
所以在转动过程中流过导体截面的电量为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241557494661274.png)
点评:根据法拉第电磁感应定律求出平均感应电动势,从而得出平均感应电流,根据
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824155749669447.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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