Rangkaian arus bolak-balik

Presentasi berjudul: "Rangkaian arus bolak-balik"— Transcript presentasi:

1 Rangkaian arus bolak-balik
RANGKAIAN ELEKTRIK I Oleh : Ir. Hery Purnomo, MT Rangkaian arus bolak-balik

2 Gelombang sumber tegangan
DC Baterai AC Genset

3 Pembangkit listrik (Generator AC)

4 Penemu Peralatan arus bolak-balik (gel. sinusoida)
Nikola Tesla Thomas Edison George Westinghouse

5 Persamaan gel. sinusoida

6 v(t)  Vm sin(t  )

7 V2 mendahului (leading) terhadap V1
V1 terbelakang (laging) terhadap V2

8 Sebutkan kedudukan gelombang tegangan

9 Gelombang tegangan dan arus
Arus (i) mendahului tegangan (v) dengan beda fasa Φ

10 Tuliskan persamaan gelombangnya

11 Sinusoida: perubahan sudut
Radians Degree π = 3.142

12 Gelombang air laut SINUSOIDA ….??

13 Nilai rata-rata Gelombang sinusoida

14 Nilai efektif / rms gel. sinusoida

15 Nilai efektif gel. sinusoida
Peak = 163 V RMS = 115 V 115 = 0,707 x 163

16 Catatan : Tegangan Arus Arus sesaat : i(t) Arus maksimum/puncak : Im
Tegangan sesaat : v(t) Tegangan maksimum/puncak : Vm Tegangan efektif/rms : Vef = Vrms = V Arus Arus sesaat : i(t) Arus maksimum/puncak : Im Arus efektif/rms : Ief = Irms = I

17 Pemakaian nilai efektif
Sumber tegangan Jala-jala (PLN), selalu menggunakan tegangan efektif misal : tegangan 220 V atau 380 V, 50 Hz Peralatan listrik, tegangan yang tercantum pada papan nama adalah tegangan efektif. Peralatan ukur (voltmeter, ampermeter), menunjukkan nilai efektifnya

18 CONTOH (1) A sinusoidal current has a maximum amplitude of 20A. The current passes through one complete cycle in 1 ms. The magnitude of the current at zero time is 10A. a) What is the frequency of the current in Hz? b) What is the value of the angular frequency? c) Write the expression for i(t) in the form Im cos(ωt + ). d) What is the rms value of the current?

19 CONTOH (2) A sinusoidal voltage is given by the expression
v = 300cos(120t + 30o) a) What is the frequency in Hz? b) What is the period of the voltage in milliseconds? c) What is the magnitude of v at t = ms? d) What is the rms value of v?

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21 Teknik Analisis Rangkaian Elektrik
DC (Direct current) AC (Alternating current) Circuits Voltage Current Voltage Current Constant voltage Constant current Time Phasor Concept Frequency Rules: Ohm’s law Kirchoff’s law Techniques: Mesh Analysis Node Analysis Superposition Thevenin/ Norton Techniques: Mesh Analysis Node Analysis Superposition Thevenin/ Norton Rules: Ohm’s law Kirchoff’s law

22 Goal Kapan tercapai ??

23 TERIMA KASIH