简答题
已知条件如题图所示,求各支路电流I1、I2、I3。
已知条件如题图所示,求各支路电流I1、I2、I3。
答案解析
正确答案:(1)利用叠加原理先将E1短接,则有
R=R1R2/(R1+R2)=4×4/(4+4)=2(Ω)
I3'=-E2/(R+R3)=-15/(4+2)=-2.5(A)
I2'=-1.25(A),I1'=-1.25(A)
(2)将E2短接,则有
R=R1R3/(R1+R3)=4×4/(4+4)=2(Ω)
I2"=-E1/(R+R2)=6/(4+2)=1(A)
I1"=-1/2(A),I3"=1/2(A)
I1=I1'+I1"=-1.75(A)
I2=I2'+I2"=-0.25(A)
I3=I3'+I3"=-2(A)
R=R1R2/(R1+R2)=4×4/(4+4)=2(Ω)
I3'=-E2/(R+R3)=-15/(4+2)=-2.5(A)
I2'=-1.25(A),I1'=-1.25(A)
(2)将E2短接,则有
R=R1R3/(R1+R3)=4×4/(4+4)=2(Ω)
I2"=-E1/(R+R2)=6/(4+2)=1(A)
I1"=-1/2(A),I3"=1/2(A)
I1=I1'+I1"=-1.75(A)
I2=I2'+I2"=-0.25(A)
I3=I3'+I3"=-2(A)
