Resistències en sèrie
Author: Carles Ferrando Garcia

R_{equivalent} = R_{1} + R_{2} + R_{3} 

V_{1}

V_{2}

V_{3}

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

V= V_{1} + V_{2} + V_{3} = I * R_{1} + I * R_{2} + I *  R_{3}

V = I * ( R_{1} + R_{2} + R_{3} )

Si apliquem la llei d'Ohm a cada resistència

Si traiem factor comú

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)
V = 5 (slider from 5 to 50, step 0.1)
A = (2, 5)
B = (4, 5)
a = Segment(A, B)
C = (4, 4)
D = (2, 4)
b = Segment(C, D)
c = Segment(D, A)
d = Segment(B, C)
E = (5, 5)
F = (5, 4)
e = Segment(E, F)
G = (7, 4)
H = (7, 5)
f = Segment(G, H)
g = Segment(E, H)
h = Segment(F, G)
Z = (8, 5)
J = (8, 4)
i = Segment(Z, J)
K = (10, 4)
L = (10, 5)
j = Segment(K, L)
k = Segment(Z, L)
l = Segment(J, K)
M = (6, 2)
N = Point(xAxis)
m = Segment(M, N)
O = (7.04, 1.46)
P = (7.04, 0.42)
n = Segment(O, P)
Q = Point(m)
R = (1, 1)
p = Segment(Q, R)
S = (1.04, 4.5)
q = Segment(R, S)
T = Point(c)
r = Segment(S, T)
U = Point(d)
W = Point(e)
s = Segment(U, W)
Z_1 = Point(f)
A_1 = Point(i)
t = Segment(Z_1, A_1)
B_1 = Point(j)
C_1 = (11, 4.44)
a_1 = Segment(B_1, C_1)
D_1 = (11, 1)
b_1 = Segment(C_1, D_1)
E_1 = Point(n)
c_1 = Segment(D_1, E_1)
F_1 = (11.602896629881883, 3.4838215343074577)
G_1 = (11.643685477517518, 1.8726620526998576)
u = Vector(F_1, G_1)
I = (1.711601078240287, 2.7904111245016554)
H_1 = Point(r)
d_1 = Segment(I, H_1)
I_1 = (4.505637141281316, 2.8311999721372905)
e_1 = Segment(I, I_1)
J_1 = Point(s)
f_1 = Segment(I_1, J_1)
K_1 = (7.42203974722925, 2.8311999721372905)
g_1 = Segment(I_1, K_1)
L_1 = Point(t)
h_1 = Segment(K_1, L_1)
M_1 = (10.358836776995002, 2.851594395955108)
i_1 = Segment(K_1, M_1)
N_1 = Point(a_1)
j_1 = Segment(M_1, N_1)
O_1 = (4.362876174556591, 3.708160196303453)
P_1 = Intersect(s, f_1)
Q_1 = Intersect(r, d_1)
R_1 = Intersect(t, h_1)
S_1 = Intersect(a_1, j_1)
T_1 = Point(e_1)
U_1 = Point(e_1)
V_1 = Intersect(d_1, e_1)
v = Vector(T_1, V_1)
w = Vector(T_1, U_1)
W_1 = Point(g_1)
z = Vector(W_1, U_1)
A_2 = Point(h_1)
u_1 = Vector(W_1, A_2)
B_2 = Point(i_1)
v_1 = Vector(B_2, A_2)
C_2 = Intersect(i_1, j_1)
w_1 = Vector(B_2, C_2)
D_2 = (1.711601078240287, 5.992335663899038)
k_1 = Segment(Q_1, D_2)
E_2 = (10.358836776995002, 6.0127300877168555)
l_1 = Segment(S_1, E_2)
F_2 = (6, 6)
z_1 = Vector(F_2, E_2)
m_1 = Vector(F_2, D_2)
text10: "V = " + V
Req: R1 + R2 + R3
text6: "R_{equivalent}=" + Req + "\quad Ω"
text16: "I = \frac{V}{R_{equivalent}}=" + (V / Req) + "\quad A"
text4: "I =" + (V / Req) + "\quad A"
text17: "\epsilon=" + V + " \quad V"
text1: "R_{1}=" + R1 + "\quad Ω"
text2: "R_{2}=" + R2 + "\quad Ω"
text3: "R_{3}=" + R3 + "\quad Ω"
V1 = 0
text18: "V_{1}=I*R_{1}=" + (V / Req * R1) + "\quad V"
text19: "V_{2}=I*R_{2}=" + (V / Req * R2) + "\quad V"
text20: "V_{3}=I*R_{3}=" + (V / Req * R3) + "\quad V"