R=R12+R3+R456
1/R12=1/R1+1/R2=1/3+1/2=0.8333
R12=1/0.8333=1.2(Ом)
1/R456=1/R4+1/R5+1/R6=1/2+1/5+1/10=0.8
R456=1/0.8=1.25(Ом)
R=1.2+7.55+1.25=10(Ом)
I12=I3=I456=U/R=100В/10Ом=10А
U1=U2=I12R12=10A*1.2Ом=12В
I1=U1/R1=12В/3Ом=4А
I2=U2/R2=12В/2Ом=6А
U3=I3R3=10А*7.55Ом=75.5В
U4=U5=U6=I456R456=10A*1.25Ом=12.5В
I4=U4/R4=12.5В/2Ом=6.25А
I5=U5/R5=12.5В/5Ом=2.5А
I6=U6/R6=12.5В/10Ом=1.25А
Ответ: I1=4A, i2=6A, I3=10A, I4=6.25A, I5=2.5A, I6=1.25A, U1=12B, U2=12B, U3=75.5B, U4=12.5B, U5=12.5B, U6=12.5B
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Verified answer
R=R12+R3+R456
1/R12=1/R1+1/R2=1/3+1/2=0.8333
R12=1/0.8333=1.2(Ом)
1/R456=1/R4+1/R5+1/R6=1/2+1/5+1/10=0.8
R456=1/0.8=1.25(Ом)
R=1.2+7.55+1.25=10(Ом)
I12=I3=I456=U/R=100В/10Ом=10А
U1=U2=I12R12=10A*1.2Ом=12В
I1=U1/R1=12В/3Ом=4А
I2=U2/R2=12В/2Ом=6А
U3=I3R3=10А*7.55Ом=75.5В
U4=U5=U6=I456R456=10A*1.25Ом=12.5В
I4=U4/R4=12.5В/2Ом=6.25А
I5=U5/R5=12.5В/5Ом=2.5А
I6=U6/R6=12.5В/10Ом=1.25А
Ответ: I1=4A, i2=6A, I3=10A, I4=6.25A, I5=2.5A, I6=1.25A, U1=12B, U2=12B, U3=75.5B, U4=12.5B, U5=12.5B, U6=12.5B