Resistències en paral·lel
Author: Carles Ferrando Garcia

I

I_{1}

I_{2}

I_{3}

V

I= I_{1}+I_{2}+ I_{3}

V= V_{1}=V_{2}= V_{3}

Si apliquem la llei d'Ohm 
a cada resistència tenim que

I= I_{1}+I_{2}+ I_{3}= \frac{V}{R_{1}}+\frac{V}{R_{2}}+\frac{V}{R_{3}}

si traiem factor comú

\textohm

R1 = 1 (slider from 1 to 500, step 0.1)
R2 = 5 (slider from 1 to 500, step 0.1)
R3 = 10 (slider from 1 to 500, step 0.1)
Reqinv: 1 / R1 + 1 / R2 + 1 / R3
Req: 1 / Reqinv
V = 5 (slider from 1 to 500, step 0.1)
I: V / Req
A = (4, 5)
B = (6, 5)
a = Segment(A, B)
C = (4, 4)
D = (6, 4)
b = Segment(C, D)
c = Segment(B, D)
d = Segment(A, C)
E = (4, 3)
F = (6, 3)
e = Segment(E, F)
G = (4, 2)
H = (6, 2)
f = Segment(G, H)
g = Segment(F, H)
h = Segment(E, G)
J = (4, 1)
K = (6, 1)
i = Segment(J, K)
L = (4, 0)
M = (6, 0)
j = Segment(L, M)
k = Segment(K, M)
l = Segment(J, L)
N = (8, 3.5)
O = (8.02, 1.36)
m = Segment(N, O)
P = (9, 3)
Q = (9, 2)
n = Segment(P, Q)
R = Point(n)
S = (9.98, 2.54)
p = Segment(R, S)
T = (10, -2)
q = Segment(S, T)
U = (2, -2)
r = Segment(T, U)
W = (2, 2.46)
s = Segment(U, W)
Z = Point(h)
t = Segment(W, Z)
A_1 = Point(g)
B_1 = Point(m)
a_1 = Segment(A_1, B_1)
C_1 = Point(d)
D_1 = (3, 4.5200000000000005)
b_1 = Segment(C_1, D_1)
E_1 = Point(t)
c_1 = Segment(D_1, E_1)
F_1 = (3, 0.4)
d_1 = Segment(E_1, F_1)
G_1 = Point(l)
e_1 = Segment(F_1, G_1)
H_1 = Point(k)
I_1 = (6.98, 0.38)
f_1 = Segment(H_1, I_1)
J_1 = Point(a_1)
g_1 = Segment(I_1, J_1)
K_1 = (7.0200000000000005, 4.54)
h_1 = Segment(J_1, K_1)
L_1 = Point(c)
i_1 = Segment(K_1, L_1)
text1: "R_{1}=" + R1
text2: "R_{2}= " + R2
text3: "R_{3}= " + R3
M_1 = (7.86, 2.74)
N_1 = (7.140000000000001, 2.72)
u = Vector(M_1, N_1)
O_1 = (7.077588261498833, 2.72397065374708)
P_1 = (7.088794130749417, 3.810939971053766)
v = Vector(O_1, P_1)
I1: V / R1
I2: V / R2
I3: V / R3
Q_1 = (6.902887215321737, 2.595286795757714)
R_1 = (6.033773277757296, 2.595286795757714)
w = Vector(Q_1, R_1)
S_1 = (7.079809168813536, 2.3687493123861274)
T_1 = (7.067577334259543, 1.0161835373265784)
z = Vector(S_1, T_1)
U_1 = Point(t)
V_1 = (2.385369221120586, -1.0050588787714936)
j_1 = Segment(U_1, V_1)
Z_1 = Point(a_1)
A_2 = (7.515900223371746, -1.0050588787714936)
k_1 = Segment(Z_1, A_2)
B_2 = (5, -1)
u_1 = Vector(B_2, A_2)
v_1 = Vector(B_2, V_1)
W_1 = Intersect(a_1, k_1)
text15: "\frac{1}{R_{equivalent}}=\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}=" + Reqinv
text14: "I= I_{1}+I_{2}+ I_{3}= \frac{V}{R_{1}}+\frac{V}{R_{2}}+\frac{V}{R_{3}}= V*(\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}})=" + (V * Reqinv) + "\quad A"
text16: "I_{1} =" + I1 + "\quad A"
text17: "I_{2} = " + I2 + "\quad A"
text18: "I_{3} =" + I3 + "\quad  A"
text19: "I = " + I + "\quad A"
text20: "V = " + V + "\quad V"
text21: "R_{equivalent} =" + Req + "\quad Ω"
text23: "\epsilon=" + V + "\quad V"