试用叠加定理求解题图2.20所示的电路中各电阻支路的电流I1 I2 I3和I4 求大神啊

2024-11-27 18:09:40
推荐回答(1个)
回答1:

使用基尔霍夫定律更简单:

I2 = I1 + 2A

I4 = I3 + 2A

I1×10Ω + I2×30Ω = I4×10Ω + I3×30Ω = 4V

可以解得:

I1 = -1.4A,I2 = 0.6A

I3 = -0.4A,I4 = 1.6A

 

如果使用叠加定理的话:

  1. 电流源相当于开路。则:

    I1' = I2' = 4V/(10+30)Ω = 0.1A,I3' = I4' = 4V/(10+30)Ω = 0.1A

  2. 电压源相当于短路,则:

    I2“ = -I3” = 0.5A,I4" = -I1" = 1.5A

  3. 所以:

    I1 = I1' + I1" = 0.1A - 1.5A = -1.4A

    I2 = I2‘ + I2" = 0.1A + 0.5A = 0.6A

    I3 = I3' + I3" = 0.1A - 0.5A = -0.4A

    I4 = I4' + I4" = 0.1A + 1.5A = 1.6A