[Risolto] Circuito elettrico

Icc1 = V1/R1 = 10 A

Icc3 =-40/5 = -8 A

Icc4 = 30/2 = 15A 

Icc2 = 20A 

Icc5 = -10A 

Icc = 27 A 

G = G1+G3+G4+G6 = 1/10+1/5+1/2+1/20 = 0,850

Vab = Icc/G = 27/0,85 =  31,765 V

Mi scuso per aver lasciaro il lavoro a metà :

ramo 1

U1 = 100 V > Vab

I1 = (U1-Vab)/R1 = (100-31,765)/10 = 6,824 A

Pg1 = U1*I1 = 100*6,824 = 628,4 watt

Pr1 = I1^2*R1 = 6,824^2*10 = 465,6 watt

ramo 3

U3 = -40 V 

I3 = -(U3+Vab)/R3 = (-40-31,765)/5 = -14,353 A

Pg3 = U3*I3 = -400*-14,353 = 574,12 watt

Pr3 = I3^2*R3 = 14,353^2*5 = 1030,0 watt

ramo 4

U4 = 30 V < Vab

I4 = (U1-Vab)/R1 = (30-31,765)/2 = -0,353 A

Pg4 = U4*I4 = 30*-0,353 = -10,59 watt

Pr4 = I4^2*R4 = 0,353^2*2 = 0,2491 watt

ramo 2

I2 = 20 A

Pg2 = Vab*I2 = 31,765*20 =635,30 watt

ramo 5

I5 = -10 A

Pg5 = Vab*I5 = 31,765*-10 = -317,65 watt

ramo 6

Pr6 = Vab^2/R6 = 31,765^2/20 = 50,45 watt 

Vab = (U1/R1 + I2 -U3/R3 +U4/R4-I5)/(1/R1 +1/R3 +1/R4+ 1/R6) = (100/10 +20 -40/5 +30/2-10)/(1/10 +1/5 +1/2+1/20) = 540/17 = 31.7647... V

Pg1 = U1*i1 = U1*V1/R1 = U1*(U1-Vab)/R1 = 100(100-540/17)/10 =11600/17= 682.35... W

se R1 è utilizzatore ... e non resistenza interna di U1 

Pr1 = R1*i1² = R1*(U1-Vab)²/R1² = (U1-Vab)²/R1 = (100-540/17)²/10 = 465.6055...W   ... etc idem per R3 e R4 

Pg2 = Vab*I2 = 540*20/17 = 635.29...W

Pg3 = U3*i3 = U3(Vab +U3 )/R3 = 40(540/17 + 40)/5 =574.1176...W

Pg4 = U4*i4 = U4(U4-Vab)/R4 = 30(30 - 540/17)/2 = -450/17 = -26.47... W

Pg5 = I5*(-Vab) = I5 *Vba = 10*(-540/17) =  -317.647... W

Pu = Pr6 = R6*i6² = Vab²/R6 = (540/17)²/20 = 50.4498... W