5.1 Beskryf die term impedansie met verwysing na 'n RLC-kring - NSC Electrical Technology Power Systems - Question 5 - 2017 - Paper 1
Question 5
5.1 Beskryf die term impedansie met verwysing na 'n RLC-kring.
5.2 F IGUUR 5.2 hieronder toon die fasordiagram van 'n serie-RLC-kring. Beantwoord die vrae wat volg... show full transcript
Worked Solution & Example Answer:5.1 Beskryf die term impedansie met verwysing na 'n RLC-kring - NSC Electrical Technology Power Systems - Question 5 - 2017 - Paper 1
Step 1
5.1 Beskryf die term impedansie met verwysing na 'n RLC-kring.
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Impedansie is die totale opposisie gebied teen die vloei van stroom in 'n RLC-kring, wat verband hou met die spanning in die stroombaan. Dit sluit die weereffekte in wat veroorsaak word deur die induktors en kapasitators in die kring.
Step 2
5.2.1 Met verwysing na stroom en spanning, verduidelik die kring induktief of kapasitief is.
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In die fasordiagram van 'n serie-RLC-kring is die spanning oor die spoel (VL) groter as die spanning oor die kapasitator (VC). As VL groter is as VC, dan is die resulterende stroombaan induktief. Die stroom I is dus in fase met die bron spanning VS.
Step 3
5.2.2 Beskryf hoe 'n verhoging in frekwensie (VL) sal beïnvloed.
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Indien die frekwensie van die toevoer verhoog, sal die induktiewe reaktansie (XL) van die spoil ook verhoog na gelang van die frekwensie. Dit kan gesien word in die formule:
XL=2imesextpiimesfimesL
Waar f die frekwensie is.
Step 4
5.2.3 Bereken die totale spanning.
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Die totale spanning kan bereken word met die formule:
V_T = ext{sqrt} igg{(} V_R^2 + (V_L - V_C)^2 igg{)}
Die substitusie is dan: V_T = ext{sqrt}igg{(} 110^2 + (80 - 50)^2 igg{)} = 114.02 V
Step 5
5.3.1 Totale stroom
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Die totale stroom kan bereken word deur die uitdrukking: IT=extsqrt(IR2+(IL−IC)2)
Substitusie gee: IT=extsqrt(52+(6−4)2)=5.39A
Step 6
5.3.2 Fasehoek
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Die fasehoek kan bereken word met die formule: heta = ext{cos}^{-1} igg{(} rac{I_R}{I_T} igg{)}
Substitusie gee: heta = ext{cos}^{-1} igg{(} rac{5}{5.39} igg{)} = 21.93^ ext{o}
Step 7
5.3.3 Induktiewe reaktansie
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Die inductieve reaktansie kan met die formule bereken word: X_L = rac{V_T}{I_L} = rac{240}{6} = 40 ext{ ohm}