题目内容
如图12-3-12所示,两个用相同导线制成的不闭合环A和B,半径
,两环缺口间用电阻不计的导线连接.当一均匀变化的匀强磁场只垂直穿过A环时,a、b两点间的电势差为U.若让这一均匀变化的匀强磁场只穿过B环,则a、b两点间的电势差为_____________.
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241139428354216.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113942804393.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241139428354216.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113942851247.gif)
由题意可知,A环的面积是B环面积的4倍,所以A环产生的感应电动势是B环的4倍,A环的电阻是B环的2倍.磁场只穿过A环时,A环等效为电源,B环为外电路,此时有
;磁场只穿过B环时,B环等效为电源,A环为外电路,此时有
.
由以上关系可求得![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113942991421.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113942866634.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113942882640.gif)
由以上关系可求得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824113942991421.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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