matematika, funkcija, formula, zadaci, zbirka, integral, limes, limit, grafik, uputstva, 2, 1, visa
Astronomija, Paralelni u niverzumi
Grupa PSE - OKSID- OSOBINE OKSIDA
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Simetricni Polinomi i Vieteove Formule
Formule pentru subiectul 1 - BAC mate
FORMULE iz matematike za treći razred tehničke škole (4 sata tjedno), može proći i u gimnaziji...
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Sistemul Conturilor naţionale 1. PNB = PIB + veniturile rezidenţilor primite de peste hotare - veniturile nerezidenţilor primite pe teritoriul ţării. Veniturile nete ale factorilor de producţie pri...
"Element"
Croatian language
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Formule Trigonometrice Clasa a IX-a
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Frekvencija f [Hz]
f =
Kružna frekvencija ω
ω =
Efektivna vrijednost U
U =
1 T
1 [ Hz ] =
s
2 ⋅ π ⋅ f =
U m
2
2 ⋅ π T
= 0,707U m
i (t ) = I max ⋅ sin(α ) Trenutna vrijednost u
i (t ) = I max ⋅ sin(ω t )
ui (t ) = U i max ⋅ sin(ω t + ϕ )
i (t ) = I max ⋅ sin(2π ft ) i (t ) = I max ⋅ sin(ω t ± ϕ ) Trenutna vrijednost i
I = I ef =
I max
2
u (t ) U m = ⋅ sin ω t = I m ⋅ sin ω t R R u U U m R = = = i I I m
i (t ) = Djelatni (aktivni) otpor u izmjeničnom strujnom krugu
i (t ) =
u (t )
U m
⋅ sin ω t = I m ⋅ sin ω t X L u U U m Induktivni otpor u izmjeničnom strujnom krugu X L = ω L = = = i I I m V X L = ω ⋅ L = 2 ⋅ π ⋅ f ⋅ L Hz ⋅ H = = Ω A
i (t ) = Kapacitivni otpor u izmjeničnom strujnom krugu
Serijski RL spoj
U R = I ⋅ R = U ⋅ cos ϕ 2
U = U R + U L I =
U
2
X C =
X L
u (t ) X C 1
=
=
U m X C
⋅ sin ω t = I m ⋅ sin ω t
V 1 = = Ω ω ⋅ C 2 ⋅ π ⋅ f ⋅ C Hz ⋅ F A
1
=
U L = I ⋅ L = I ⋅ X L = U ⋅ sin ϕ
Z = R 2 + X L
cos ϕ =
U R U
=
2
R Z
ϕ =
arctg
U L U
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U R = I ⋅ R
Serijski RC spoj
U C = I ⋅
2
2
ω C
= I ⋅ X C 2
2
U = U R + U C I =
1
Z = R + X C
U
cos ϕ =
Z
U R U
=
R
ϕ =
arctg
Z
U C U R
Serijski RLC spoj
2
2
2
U = U R + U X = U R + (U L − U C )
U R
cos ϕ =
Pojava rezonancije
X L = X C
2
2
U
2
2
Z = R + X = R + ( X L − X C ) =
R
ϕ =
Z
U L = U C
arctg
U L − U C U R
U = U R
X L = X C Z = R
cos ϕ = 1 S = P f =
Rezonantna frekvencija
1 2π LC
= f 0 = f r
R = Paralelni RL spoj
r
Ι R =
r
U R
Ι L =
U ω L
=
U
G=
X L
U
X L =
Ι R
1 R
=
I R U
B L =
U Ι L
1 X L
r
I = I R + I L 2
I 2 = I R + I L
2
Y =
2
G + B L
2
U =
I Y
= I ⋅ Z
I
G
Z
=
I L U
2
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r
r
r
I = I R + I C 2
2
G 2 + BC
Y =
2
U =
2
I = I R + I C 2
I = I R + I
r
U U = 1 X C ω C
Ι C =
R
r
r
Ι L =
I X = I C − I L
I = I R + ( I C − I L ) 2
2
B X = BC − B L
I = I R + ( I C − I L ) 2
2
2
I = I R + I X Y =
=
G
U ω L
=
=
Z R
U X L
r
I = I R + I C + I L 2
I R
I Y I C ϕ Y = arctg I R
Paralelni RLC spoj
Ι R =
Y
= I ⋅ Z
cos ϕ Y =
2 C
U
I
U =
I Y
= I ⋅ Z
cos ϕ Y =
I R
=
G
I Y I X ϕ Y = arctg I R
2
G 2 + ( BC − B L ) = 2
=
Z R
G 2 + B X 2
Posebni slučaj, događa se kada se ispuni uvjet rezonancije r
r
B L = BC I L = I C B L = BC
Y = G
IX = 0
I = IR
B X = 0 ϕ Y = ϕ = 0 cos ϕ = cos ϕ Y = 1 S = P
Quk = 0
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SNAGA U SLOŽENOM KRUGU izmjeni čne struje PUK = ∑ P Q L UK = ∑ Q L Q C UK = ∑ Q C Q UK = ∑ Q L − ∑ Q C SUK
PUK 2 + Q UK 2
=
cos ϕ UK
=
PUK SUK
Poboljšanje faktora snage dodavanjem radne snage ∆P =
1
Q
−
tan ϕ 2
1
tan ϕ 1
Kompenzacija jalove snage kondenzatorom
Q L = P ⋅ tan ϕ 1 Q = Q L − QC
∆
=
P ⋅ tan ϕ 2
QC = P ⋅ (tan ϕ 1 − tan ϕ 2 ) ∆S = S1 − S2 =
P cos ϕ 1
UC2 QC = U C ⋅ I C = XC C=
−
=
P cos ϕ 2
U C 2 ⋅ ω C
QC U C 2 ⋅ ω
C ≈ 66 ⋅ QC
Rad izmjenične struje W = P⋅ t Snaga u kompleksnom obliku r