Gegee:
R = 20 Ω
X_L = 30 Ω
X_C = 40 Ω
V_s = 120 V
f = 60 Hz
2.4.1 Bereken die totale stroomvloei in die kr aangbaan - NSC Electrical Technology Power Systems - Question 2 - 2019 - Paper 1
Question 2
Gegee:
R = 20 Ω
X_L = 30 Ω
X_C = 40 Ω
V_s = 120 V
f = 60 Hz
2.4.1 Bereken die totale stroomvloei in die kr aangbaan. (3)
2.4.2 Bereken die fasehoek. (3)
2.4.3 Noe... show full transcript
Worked Solution & Example Answer:Gegee:
R = 20 Ω
X_L = 30 Ω
X_C = 40 Ω
V_s = 120 V
f = 60 Hz
2.4.1 Bereken die totale stroomvloei in die kr aangbaan - NSC Electrical Technology Power Systems - Question 2 - 2019 - Paper 1
Step 1
Bereken die totale stroomvloei in die kr aangbaan.
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Answer
Die totale stroomvloei (
I_{total}
) in die parallelle cirkels kan bereken word met die toepaslike formules: die strome in elke tak word bymekaar opgetel. Die formule is:
Itotal=IR+IL+IC
Waar:
IR = rac{V_s}{R} = 20Ω120V=6A
IL = rac{V_s}{X_L} = 30Ω120V=4A
IC = rac{V_s}{X_C} = 40Ω120V=3A
Die totale stroomvloei is dus:
Itotal=6A+4A+3A=13A
Step 2
Bereken die fasehoek.
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Answer
Die fasehoek (θ) kan bereken word met die volgende formule:
extCosθ=ItotalIR=13A6A
Hieruit kan die fasehoek bereken word:
θ=extCos−1(136)≈9,30°
Step 3
Noem die fasehoek voorlond van nalopend is. Motiveer jou antwoord.
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Answer
Die fasehoek is nalopend omdat die inductiewe stroom (IL) groter is as die kapasitiewe stroom (IC). Dit impliseer dat die stroom oor die Spannung 'n fase-verskuiwing van nalopende fases het, wat beteken dat die strome in die inductiewe tak die totale stroom oortref.