Lieu_complexe_small (test)
Author: PGe
Date: 9 July 2013

R

ωL

1/ωC

Z_{tot}

1/ωC

ωL

\underline{Z}_{tot} = R + j \left( \omega L -\frac{1}{\omega C}  \right) 

Z_{tot} = \sqrt{R^{2} + \left( \omega L -\frac{1}{\omega C}  \right)^{2} }

\varphi_{tot} = atan \left( 
\frac{\omega L - \frac{1}{ \omega C}} {R} \right)}

\frac{a}{b}

EPFL-LAI - P. Germano - 2013, Rév. 2019

ω = 0.44 (slider from 0.08 to 8, step 0.02)
R = 20 (slider from -5 to 20, step 1)
L: 0.75
Z_1: R + (0 * ί)
A = (0, 0)
B: (R, 0)
C = 0.25 (slider from -5 to 12, step 1.0E-6)
Z_2: 0 + ((ί * ω) * L)
Z_3: 0 - ί / ((ω * C))
b_1 = Segment(A, Z_1)
b_2 = Segment(A, Z_2)
b_3 = Segment(Z_2, Z_3)
R_v = Vector(A, Z_1)
L_v = Vector(A, Z_2)
C_v = Vector(A, Z_3)
Z_T: R + ((ί * ω) * L) - ί / ((ω * C))
T_v = Vector(A, Z_T)
Z_b: R + ((ί * ω) * L)
D: (R, (ω * L))
δ = 0.03 (slider from -5 to 5, step 0.1)
E: (R + δ, (ω * L))
RωLC = Vector(E, Z_T + δ)
RωL = Vector(B - δ, D - δ)
φ_{tot} = Angle(B, A, Z_T)