题目内容
(10分)面积为0.5m2的导体环与5.0Ω的电阻连接成闭合回路。圆环处于垂直纸面向里的磁场中,该磁场的磁感强度随时间的变化规律如图,磁场方向垂直纸面向里为正方向。回路中导线和开关的电阻忽略不计。求:
①线圈中感应电动势的大小;
②电阻R消耗的电功率;
③在下方坐标纸中画出0到0.6s内感应电流随时间变化的图象(设感应电流逆时针方向为正)。![](http://thumb.1010pic.com/pic2/upload/papers/20140824/2014082413255784913595.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241325579278362.png)
①线圈中感应电动势的大小;
②电阻R消耗的电功率;
③在下方坐标纸中画出0到0.6s内感应电流随时间变化的图象(设感应电流逆时针方向为正)。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/2014082413255784913595.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241325579278362.png)
解:①根据法拉第电磁感应定律:E感 =
,有:
E感 =
=" 2" × 0.5 =" 1" V
②∵此电路是纯电阻电路,
∴P =
=
=" 0.2" W
③ I =
=
=" 0.2" A
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/2014082413255825411212.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132557958395.png)
E感 =
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132558036406.png)
②∵此电路是纯电阻电路,
∴P =
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132558083319.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132558145313.png)
③ I =
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132558176443.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132558223282.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/2014082413255825411212.png)
略
![](http://thumb2018.1010pic.com/images/loading.gif)
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