15) Arus

  • Uploaded by: Frans
  • 0
  • 0
  • June 2020
  • PDF

This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA


Overview

Download & View 15) Arus as PDF for free.

More details

  • Words: 535
  • Pages: 13
ARUS BOLAK BALIK SINUSOIDA 1.5 1 0.5 0 0 -0.5 -1 -1.5

90

180

270

360

ARUS SINUSOIDA • i(t)=Im sin(ω t + ϕ o) i(t) arus sesaat Im arus maksimum (ω t +ϕ o) fassa ω frekuensi ω =2π f =2 π /T f frekuensi T perioda ϕ o fassaawal radian

Ampere(A) Ampere (A) radian rad/s herz=1/s s

Besaran efektif • Im arus maksimum terbaca pada Osiloskop • Irms =Ieff =

Im 2terbaca

Im

pada alat ukur

Ipp T

Arus melalui Resistor Misalkan i(t)=Im cos (ω Vab=VR=ImR cos (ω

t)

t)

= VmR cos (ω t)

R

a

b

i(t)

~

-VmR =ImR -Tegangan pada R sefassa dengan arus Diagram fasor

ImR i(t) Im

VR

Arus melalui Kapasitor • i(t) = Im cos (ω t)

C

a

• Vab=VC=Q/C

1 I m cos(ωt )dt ∫ C

= Im π cos(ωt − ) = ωC 2 =VmC cos(ω t -π /2) - VmC = Imχ − χ C=

1 ωC

b

i(t)

~

C,

ohm(Ω )

- Tegangan pada kapasitor tertinggal π /2 dari i(t)

i(t) Im χ

C

Im VC

Arus melalui Induktor L

• i(t)=Im cos(ω t) d i L • Vab =VL= d t

i(t)

~

= Imω Lcos(ω t+π /2) = VmL cos(ω t+π /2) - VmL =Imχ

Diagram fasor

L

− χ L = ω L ohm(Ω ) - Tegangan pada induktor mendahului i(t) sebesar π /2

Imχ

VL L

i(t) Im

Rangkaian RLC Seri • R,L dan C dirangkai seri di aliri arus i(t)=Im cos(ω t) • Vab=VR+VL+VC

R

L

C

i(t)

~

= ImR cos(ω t)+Imχ Lcos(ω t+π /2)+ Imχ Ccos(ω t-π /2) Dengan cara fasor diperoleh: Vab=Vmcos(ω t+ϕ )

Diagram fasor RLC seri • Vm=ImZ

VmL

Z = R + (χ − χ ) 2

2 L

2 2 C

ϕ

χ L − χC ϕ = tg R C

tegangan mendahului

C tegangan tertinggal

VmR

VmC

−1

∀ χ L> χ arus ∀ χ L< χ arus

Vm

χ

ϕ

L

χ

Z R

C

Resonansi RLC seri • Vm maksimum ∀ χ L= χ

Z minimum ω=

C

ω

res

1 LC

Daya rata-rata rangkaian RLC seri • Hk Joule P =iV=Im2Zcos(ω t)cos(ω t+ϕ ) • Daya rata-rata

P = I 2 Z 1 T cos(ωt ) cos(ωt + ϕ ) m T ∫0

P = 1 I 2 Z cos(ϕ ) m 2 faktor daya

Rangkaian R,L,C Paralel • R,L dan C dirangkai paralel, dihubungkan sumber v(t)=Vmcos(ω t)

R

~

i(t) vs(t)

iR(t) C

iC(t) iL(t)

L

Analisa Rangkaian • i(t)=iR(t) +iC(t)+iL(t) Vm • iR(t)=v(t)/R = cos(ωt ) R

• iC(t)=

dQ dv =C dt dt

1 vdt ∫ • iL(t)= L

• i(t)=

1 1 π 1 π  Vm  cos(ωt ) + cos(ωt + ) + cos(ωt − )  χC 2 χL 2  R

Diagram Phasor • Phasor Arus 2

I m = Vm

1   1   1    + −  R   χc χ L  2

1 1   1   1  =   + − Z  R   χC χ L  ω res =

1 LC

ImC 2

Im

2

ImL

ImR

Related Documents

15) Arus
June 2020 19
15. Rpp Arus Ac Edit.docx
October 2019 30
Arus Dokumen
May 2020 18
Arus Kas
June 2020 21
Arus Dc.docx
November 2019 36
Bagian Arus
May 2020 13

More Documents from ""

Gelombang Mekanik
June 2020 24
Termodinamika
June 2020 17
Fluida
June 2020 28
El Balet.docx
May 2020 24
Gaya Lorentz
June 2020 19
Potensial Listrik
June 2020 17