Myon Lebensdauer

t(μs)

Rate N(t)

N(t	)=A e^{-kt} +B

A Maximalwert

k Zerfallskonstante

B additive Konstante

A = 148 (slider from 0 to 400, step 1)
k = 0.48 (slider from 0 to 2, step 0.005)
B = 9.3 (slider from 0 to 50, step 0.1)
f(x) = If[x > 0, (A * ℯ^(((-k) * x))) + B]
A2: 1
B2: 0
A3: 2
B3: 0
A4: 3
B4: 0
A5: 4
B5: 0
A6: 5
B6: 0
A7: 6
B7: 0
A8: 7
B8: 0
A9: 8
B9: 0
A10: 9
B10: 0
A_1: (A2, B2)
B_1: (A3, B3)
C: (A4, B4)
D: (A5, B5)
E: (A6, B6)
F: (A7, B7)
G: (A8, B8)
H: (A9, B9)
I: (A10, B10)
L_1: {(A2, B2), (A3, B3), (A4, B4), (A5, B5), (A6, B6), (A7, B7), (A8, B8), (A9, B9), (A10, B10)}
trend = FitExp(L_1)
x_{Wert}: {A2, A3, A4, A5, A6, A7, A8, A9, A10}
C2: f(A2)
C3: f(A3)
C4: f(A4)
C5: f(A5)
C6: f(A6)
C7: f(A7)
C8: f(A8)
C9: f(A9)
C10: f(A10)
D2: (B2 - C2)^(2)
D3: (B3 - C3)^(2)
D4: (B4 - C4)^(2)
D5: (B5 - C5)^(2)
D6: (B6 - C6)^(2)
D7: (B7 - C7)^(2)
D8: (B8 - C8)^(2)
D9: (B9 - C9)^(2)
D10: (B10 - C10)^(2)
D11 = Sum(D2:D10)
E2: sqrt(B2)
E3: sqrt(B3)
E4: sqrt(B4)
E5: sqrt(B5)
E6: sqrt(B6)
E7: sqrt(B7)
E8: sqrt(B8)
E9: sqrt(B9)
E10: sqrt(B10)
F2: B2 + E2
F3: B3 + E3
F4: B4 + E4
F5: B5 + E5
F6: B6 + E6
F7: B7 + E7
F8: B8 + E8
F9: B9 + E9
F10: B10 + E10
G2: B2 - E2
G3: B3 - E3
G4: B4 - E4
G5: B5 - E5
G6: B6 - E6
G7: B7 - E7
G8: B8 - E8
G9: B9 - E9
G10: B10 - E10
y_{max}: {F2, F3, F4, F5, F6, F7, F8, F9, F10}
y_{min}: {G2, G3, G4, G5, G6, G7, G8, G9, G10}
Y_{min} = Sequence((Element[x_{Wert}, n], Element[y_{min}, n]), n, 1, 9)
Y_{max} = Sequence((Element[x_{Wert}, n], Element[y_{max}, n]), n, 1, 9)
Fehlerbalken = Sequence(Segment[Element[Y_{min}, n], Element[Y_{max}, n]], n, 1, 9)
Text3: "" + B1 + ""
Text4: "" + A1 + ""
A12: 1 / k
Text1: "Summe Abstandsquadrate:
            " + D11 + "	"
Tabelle = TableText({{A1, B1}, {A2, B2}, {A3, B3}, {A4, B4}, {A5, B5}, {A6, B6}, {A7, B7}, {A8, B8}, {A9, B9}, {A10, B10}}, "|_cc")
Text5: "Die mittlere Lebensdauer beträgt:
             τ = " + A12 + " μs"