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FI-1201 Fisika Dasar IIA

PHYSI S. FI-1201 Fisika Dasar IIA. Kuliah-13 Arus Bolak-Balik. ARUS BOLAK BALIK. SINUSOIDA. ARUS SINUSOIDA. i(t)=I m sin(  t +  o ) i(t) arus sesaat Ampere(A) I m arus maksimum Ampere (A) (  t +  o ) fassa radian

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FI-1201 Fisika Dasar IIA

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  1. PHYSI S FI-1201Fisika Dasar IIA Kuliah-13 Arus Bolak-Balik

  2. ARUS BOLAK BALIK SINUSOIDA

  3. ARUS SINUSOIDA • i(t)=Im sin(t + o) i(t) arus sesaat Ampere(A) Im arus maksimum Ampere (A) (t +o) fassa radian  frekuensi rad/s =2f =2 /T f frekuensi hertz = 1/s T perioda s o fassa awal radian

  4. Besaran efektif • Im arus maksimum terbaca pada Osiloskop • Irms =Ieff = terbaca pada alat ukur Im Ipp T

  5. Arus melalui Resistor • Misalkan i(t)=Im cos (t) • Vab=VR=ImR cos (t) • = VmRcos(t) • VmR=ImR • Tegangan pada R sefassa dengan arus R a b i(t) ~ ImR i(t) VR Diagram fasor Im

  6. Arus melalui Kapasitor C b • i(t) = Im cos ( t) • Vab=VC=Q/C = ~ = =VmCcos(t -/2) • VmC = ImC , • C = ohm() • Tegangan pada kapasitor tertinggal /2 dari i(t) a i(t) i(t) Im ImC VC

  7. Arus melalui Induktor L • i(t)=Im cos(t) • Vab=VL= = ImLcos(t+/2) = VmLcos(t+/2) • VmL=ImL • L =L ohm() • Tegangan pada induktor mendahului i(t) sebesar /2 i(t) ~ Diagram fasor VL ImL i(t) Im

  8. Rangkaian RLC Seri • R,L dan C dirangkai seri dialiri arus i(t)=Im cos(t) • Vab=VR+VL+VC = ImR cos(t)+ImLcos(t+/2)+ ImCcos(t-/2) Dengan cara fasor diperoleh: Vab=Vmcos(t+) C R L i(t) ~

  9. Diagram fasor RLC seri • Vm=ImZ • L> C tegangan mendahului arus • L< C tegangan tertinggal arus VmL Vm  VmR VmC L Z  R C

  10. Resonansi RLC seri • Vm maksimum Z minimum • L= C res

  11. Daya rata-rata rangkaian RLC seri • Hk Joule: P =iV=Im2Zcos(t)cos(t+) • Daya rata-rata faktor daya

  12. i(t) iR(t) iC(t) ~ C L R vs(t) iL(t) Rangkaian R,L,C Paralel • R,L dan C dirangkai paralel, dihubungkan sumber v(t)=Vmcos(t)

  13. Analisa Rangkaian • i(t)=iR(t) +iC(t)+iL(t) • iR(t)=v(t)/R = • iC(t)= • iL(t)= • i(t)=

  14. Diagram Phasor • Phasor Arus ImC Im ImR ImL

  15. Contoh soal Suatu rangkaian RLC seri seperti gambar di bawah ini, terdiri dari: R = 400 , C = 1 F dan L = 0,7 H. Jika rangkaian RLC seri tersebut dihubungkan dengan sumber tegangan bolak-balik Vs(t) = 5 cos (1000 t + (/3)) (volt). Tentukanlah: a).reaktansi kapasitif (XC), reaktansi induktif (XL) dan impedansi total rangkaian, b). arus i(t) yang mengalir pada rangkaian itu, c). tegangan V(t) pada masing-masing komponen R, L dan C (VR(t), VL(t), VC(t))

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