from sympy import *
x, y, z = symbols("x y z")
Trobar $I_{1}$, $I_{2}$ i $I_{3}$
Dades: $R_{1} = 2 \ \Omega$, $R_{2} = 6 \ \Omega$, $R_{3} = 4 \ \Omega$. $\mathcal{E}_{1} = 5 \ V$, $\mathcal{E}_{2} = 12 \ V$
solve([Eq(x+z-y, 0), Eq(6*y+2*x,-7 ), Eq(-4*z-6*y,12 )],[x,y,z])
{x: 1/22, y: -13/11, z: -27/22}
1/22, -13/11, -27/22
(0.045454545454545456, -1.1818181818181819, -1.2272727272727273)
Trobar $I_{1}$, $I_{2}$ i $I_{3}$
Dades: $R_{1} = 1 \ \Omega$, $R_{2} = 4 \ \Omega$, $R_{3} = 2 \ \Omega$. $\mathcal{E}_{1} = 12 \ V$, $\mathcal{E}_{2} = 5 \ V$, $\mathcal{E}_{3} = 7 \ V$, $r = 1 \ \Omega$
solve([Eq(x+z-y, 0), Eq(5*y+2*x,17 ), Eq(-3*z-5*y,2 )],[x,y,z])
{x: 146/31, y: 47/31, z: -99/31}
146/31 , 47/31 , -99/31
(4.709677419354839, 1.5161290322580645, -3.193548387096774)
Trobar $I_{1}$, $I_{2}$ i $I_{3}$
Dades: $R_{1} = 10 \ \Omega$, $R_{2} = 3 \ \Omega$, $R_{3} = 6 \ \Omega$. $\mathcal{E}_{1} = 5 \ V$, $\mathcal{E}_{2} = 6 \ V$, $\mathcal{E}_{3} = 12 \ V$, $r_{1} = 1 \ \Omega$, $r_{2} = 3 \ \Omega$, $r_{3} = 2 \ \Omega$
solve([Eq(x+y+z, 0), Eq(-6*y+11*x,11 ), Eq(-8*z+6*y,6 )],[x,y,z])
{x: 95/101, y: -11/101, z: -84/101}
95/101,-11/101,-84/101
(0.9405940594059405, -0.10891089108910891, -0.8316831683168316)
Trobar $I_{1}$, $I_{2}$ i $I_{3}$
Dades: $R_{1} = 7 \ \Omega$, $R_{2} = 12 \ \Omega$, $R_{3} = 4 \ \Omega$. $\mathcal{E}_{1} = 5 \ V$, $\mathcal{E}_{2} = 3 \ V$, $\mathcal{E}_{3} = 12 \ V$, $\mathcal{E}_{4} = 12 \ V$
solve([Eq(x+y-z, 0), Eq(12*y-7*x,-10 ), Eq(-4*z-12*y,-9 )],[x,y,z])
{x: 67/40, y: 23/160, z: 291/160}
67/40,23/160,291/160
(1.675, 0.14375, 1.81875)
Trobar $I_{1}$, $I_{2}$ i $I_{3}$
Dades: $R_{1} = 8 \ \Omega$, $R_{2} = 12 \ \Omega$, $R_{3} = 5 \ \Omega$, $R_{4} = 2 \ \Omega$. $\mathcal{E}_{1} = 12 \ V$, $\mathcal{E}_{2} = 5 \ V$, $\mathcal{E}_{3} = 7 \ V$, $r = 1 \ \Omega$
solve([Eq(x+z-y, 0), Eq(13*y+8*x,0 ), Eq(-5*z-13*y,5 )],[x,y,z])
{x: 65/209, y: -40/209, z: -105/209}
65/209, -40/209,-105/209
(0.31100478468899523, -0.19138755980861244, -0.5023923444976076)