题目内容
如图所示的电路中,电源电动势E=6V,内阻r=1Ω,电阻R1=3Ω,R2=6Ω,电容器的电容C=3.6μF,二极管D具有单向导电性,开始时,开关S1闭合,S2断开。
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001717945580.png)
(1)合上S2,待电路稳定以后,求电容器C上电量变化了多少?
(2)合上S2,待电路稳定以后再断开S1,求断开S1后流过R1的电量是多少?
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001717945580.png)
(1)合上S2,待电路稳定以后,求电容器C上电量变化了多少?
(2)合上S2,待电路稳定以后再断开S1,求断开S1后流过R1的电量是多少?
(1)—1.8×10-6C (2)9.6×10-6C
试题分析:(1)设开关S1闭合,S2断开时,电容两端的电压为U1,干路电流为I1, 根据闭合电路欧姆定律有
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001717961835.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001717977349.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001717992624.png)
合上开关S2后,电容电压为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001718008377.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001718023324.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/201408250017180551092.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001718008377.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001718086867.png)
所以电容器上电量变化了
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/201408250017181011141.png)
(2)合上S2后,电容上电量为Q,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001718117921.png)
断开S1后,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001718148327.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001718148361.png)
故流过
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/20140825001718148327.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140825/201408250017181951169.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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