Photo AI

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 icon

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-NSC Electrical Technology Power Systems-Question 2-2019-Paper 1.png

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.

96%

114 rated

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+ICI_{total} = I_R + I_L + I_C

Waar:

  • IRI_R = rac{V_s}{R} = 120V20Ω=6A\frac{120 V}{20 Ω} = 6 A
  • ILI_L = rac{V_s}{X_L} = 120V30Ω=4A\frac{120 V}{30 Ω} = 4 A
  • ICI_C = rac{V_s}{X_C} = 120V40Ω=3A\frac{120 V}{40 Ω} = 3 A

Die totale stroomvloei is dus:

Itotal=6A+4A+3A=13AI_{total} = 6 A + 4 A + 3 A = 13 A

Step 2

Bereken die fasehoek.

99%

104 rated

Answer

Die fasehoek (θθ) kan bereken word met die volgende formule:

extCosθ=IRItotal=6A13A ext{Cos} θ = \frac{I_R}{I_{total}} = \frac{6 A}{13 A}

Hieruit kan die fasehoek bereken word:

θ=extCos1(613)9,30°θ = ext{Cos}^{-1}(\frac{6}{13}) ≈ 9,30°

Step 3

Noem die fasehoek voorlond van nalopend is. Motiveer jou antwoord.

96%

101 rated

Answer

Die fasehoek is nalopend omdat die inductiewe stroom (ILI_L) groter is as die kapasitiewe stroom (ICI_C). 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.

Join the NSC students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;