metrologie.py

Created by famille-bvc

Created on December 22, 2023

865 Bytes


*** Calcul des resistances ***
  
(delta (D): incertitude)
R = U/I
DR/R = sqrt((DV/V)^2+(DI/I)^2)
DR = DR/R * R

*** Ecart type ***

(sigma : σ (o-))
               m      _
σ=sqrt(1/1-m * (xi - x)^2)
               i=1
               
On commence par :
_                m 
x = moy -> 1/m *  xi
                i=1

ensuite on fait :
m       _
 (xi - x)^2  
i=1

et enfin :
σ = sqrt(1/m-1 * resultat prec)

*** Incertitude type ***
  
Dxtype = σ/sqrt(m)

*** Incertitude élargie ***
  
Dxelargie = K * Dxtype

K à trouver dans le tab loi de Stud
avec 1-a donne dans l'ennoncé
et V = m-1 !!

*** Capteur de pressionn ***

k : sensibilité
P : pression

k = V/P
-> V = k * P

Vs = V * gain

*** Precision ***

(incertitude type) :
  
  q : résolution :

u = q/sqrt(12)

  t : tolérence :

    (t/100)*mesure
u = --------------
       sqrt(3)

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