sinu.py

Created on November 21, 2021
963 Bytes
u=u(t)=Umax*sin(wt+Su)
      =U*sqrt(2)*sin(wt(rad.s)+Su(en rad))

w(rad.s)=2*pi*f(Hz)
La valeur moyenne de la tension sinusoidale est nulle: <u>=0 

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Z= R;1/Cw;Lw

Z= rac(R**2 +Lw**2)

Zeq/

Su-Si

u(t)=Urac2 * sin(wt+Su)

Z/= U/ / I/ 


resistance : constant 
Z/=R   [R;0]
bobine pure: augmente avec frequence
Z/= jLw = [Lw ; 90 ou pi/2]
S>1= u avancee i
condensateur: diminue avec frequenc
Z/= 1/jCw = -j/Cw = [1/Cw ; -90 ou -pi/2]
S<1= u retard i 
w(rad.s)=2 pi f

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[I1,Si1]=[7A,0°] = 7cos0°+j7sin0°
                 = 7A

[I2,Si2]=[3A,-pi/2]=[3A,-90°]
= 3cos-90° + j3sin-90°
= j(-3) = -j3A

I=I1+I2
I=I1+I2 -> 7A-j3A -> I=[I;Si]
                      =[7,62;-23,2]
                      
p=sqrta**2+b**2 
O=arctan(b/a)= arctan(-3/7)=-23,2°=-0,405 rad 

Valeur eff I=7,62A   phase origine Si= -23,2° = -0,405 rad

i=i(t)=7,62* sqrt2 * sin(wt-0,405)
I1+I2= 7+3 = 10 

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SU/I = ArgZ/ = arctan(Lw/R)