Wand

A

z

Imaginärteil(z)

Vektor von z

Realteil(z)

Harmonische Schwingung

Bewege den Punkt A auf der x-Achse!

λ = 7.8 (slider from 5 to 10, step 0.1)
Betrag = 3.1 (slider from 0 to 5, step 0.1)
B: (-12, Betrag + 2)
A: (-16, Betrag + 2)
a_2 = Segment(A, B)
A': (x(A), y(A) + 1)
b = Ray(A, A')
B': (x(B), y(B) + 1)
c = Ray(B, B')
Vieleck1, a_1, b_1, d, e = Polygon(A, B, (x(B), y(B) + 1000), (x(A), y(A) + 1000))
O = (0, 0)
O' = (20, 0)
g = Segment(O, O')
C = Point(g)
f = Function(Betrag * sin(2 * π * x / λ), 0, 20)
P: (x(C), f(C))
M = (-5, 0)
h = Circle(M, Betrag)
P': ((x(A) + x(B)) / 2, y(P))
AB: ((x(A) + x(B)) / 2, y(A))
i = Segment(P', AB)
j = Segment(P, P')
U: (Betrag; 2 * π * x(C) / λ)
V = Translate(U, M)
D: (x(V), 0)
k = Segment(V, D)
z = Vector(M, V)
l = Segment(D, M)
φ = Angle(O, M, V)
R_{z} = Distance(D, M)
I_{z} = Distance(D, V)
Text2: "φ = " + φ + ""
Text3: "Realteil(z) = " + R_{z} + ""
Text4: "Imaginärteil(z) = " + I_{z} + ""
Vieleck2, a, m, n, p = Polygon((1000, 1000), (-1000, 1000), (-1000, -1000), (1000, -1000))
Text5: "komplexe Zahl: 
 z = $ \binom{" + (LaTeX[R_{z}]) + "}{" + (LaTeX[I_{z}]) + "} $ ↦ " + (LaTeX[R_{z}]) + " + i· " + (LaTeX[I_{z}]) + ""