Wie rechne ich... Fehler des Mittelwerts und Standardabweichung?
clear
all
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Z = 3.4e3
Z = 3400
dZ = 0.1e3
dZ = 100
dZrel = dZ / Z
dZrel = 0.0294
omega = 5e5
omega = 500000
dOmega = 1
dOmega = 1
dOmegaRel = dOmega / omega
dOmegaRel = 2.0000e-06
L = 10e-3
L = 0.0100
dLrel = 0.03
dLrel = 0.0300
dL = L * dLrel
dL = 3.0000e-04
C = 250e-12
C = 2.5000e-10
dCrel = 0.02
dCrel = 0.0200
dC = C*dCrel
dC = 5.0000e-12
R
R = sqrt(Z^2 - (omega*L - 1/(omega*C))^2)
R = 1600
Fehlerrechnung Schrittweise
dRSqdZ = 2*Z
dRSqdZ = 6800
dRSqdL = omega * 2*(omega*L - 1/(omega*C))
dRSqdL = -3.0000e+09
dRSqdC = 1/(omega*C^2) * 2*(omega*L - 1/(omega*C))
dRSqdC = -1.9200e+17
dRSq = sqrt((dRSqdZ * dZ)^2 + (dRSqdC*dC)^2 + (dRSqdL*dL)^2)
dRSq = 1.4812e+06
dR = dRSq / sqrt(R^2)
dR = 925.7598