用叠加原理求电流?

2025-03-17 05:33:25
推荐回答(2个)
回答1:

下面用叠加定理求解。
一、当电压源没有电压输出(用导线把它短路看待)时,右边两个6欧电阻并联,得3欧,
这个3欧与图中的5欧电阻串联,得 8欧,这个8欧与图中的4欧电阻是并联的。
得这种情况下通过图中5欧电阻的电流 I1 的方程为
I1 * 8=(Is-I1)* 4
得 I1=Is / 3=(5 / 3)安   (正值,以图中 I 的箭头方向为正方向)
二、当电流源没有电流输出(把电流源断开看待)时,图中4欧与5欧电阻串联,得 9欧 ,
这个9欧与图中偏左的6欧电阻并联,得 (18 / 5)欧,电路总电阻是(18/5)+6=9.6 欧。
电路总电流的大小(绝对值)是 24 / 9.6=2.5 安
注意到电压源提供的通过图中5欧电阻的电流方向与图示方向相反,所以这种情况下通过它的电流取负值,即 I2<0
得 (-I2)* 9=[ 2.5-(-I2)] * 6 
那么 I2=-1 安

综合上述情况,得实际通过5欧电阻的电流是
I=I1+I2=(5 / 3)+(-1)=(2 / 3)安=0.667安
电流为正值,表示实际的电流方向与图示方向相同。

回答2:

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