5.1 Beskryf die term impendansie met verwysing na 'n RLC-kring - NSC Electrical Technology Power Systems - Question 5 - 2017 - Paper 1
Question 5
5.1 Beskryf die term impendansie met verwysing na 'n RLC-kring.
5.2 FIGUUR 5.2 hieronder toon die fasordiagram van 'n serie-RLC-kring. Beantwoorde die vrae wat vol... show full transcript
Worked Solution & Example Answer:5.1 Beskryf die term impendansie met verwysing na 'n RLC-kring - NSC Electrical Technology Power Systems - Question 5 - 2017 - Paper 1
Step 1
5.1 Beskryf die term impendansie met verwysing na 'n RLC-kring.
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Impedansie is die totale oppositie gebied teen die vloei van stroom in 'n RLC-kring wat aan 'n wisselstroom (WS) toevoer aangesluit is.
Step 2
5.2.1 Met verwysing na stroom en spanning, verduidelik die kring indiktief of kapasitatief is.
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In die fasordiagram is die spanning VL groter as VC; dit dui aan dat die kring indiktief is. Die stroom IS sal dus die spanning VS volg, weens die verhouding tussen die spanning en die faseverskuiwing in inductiewe komponente.
Step 3
5.2.2 Beskryf hoe 'n verhoging in frekwensie VL sal beïnvloed.
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As die frekwensie verhoog, sal die induktiewe reaktansie XL van die spoel toeneem, wat sal lei tot 'n verhoging in die spanning VL. Aangesien die induktiewe reaktansie direk eweredig is aan die frekwensie, sal 'n hoër frekwensie die spanning VL verhoog.
Step 4
5.2.3 Bereken die totale spanning.
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Die totale spanning in die kring kan bereken word met die formule: VT=extsqrt(VR2+(VL−VC)2)
Hierdie kan ons invul: VT=extsqrt(1102+(80−50)2)=extsqrt(1102+302)=extsqrt(12100+900)=extsqrt(13000)=114.02V
Step 5
5.3.1 Totale stroom.
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Die totale stroom in die parallelkring kan bereken word as: IT=extsqrt(IR2+(IL−IC)2)
Ingevul, het ons: IT=extsqrt(52+(6−4)2)=extsqrt(52+22)=extsqrt(25+4)=extsqrt(29)=5.39A
Step 6
5.3.2 Fasehoek.
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Die fasehoek kan bereken word met die formule: heta = ext{cos}^{-1}rac{I_R}{I_T}
Daarom: heta = ext{cos}^{-1}rac{5}{5.39} = 21.93^ ext{o}
Step 7
5.3.3 Induktiewe reaktansie.
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Die induktiewe reaktansie kan bereken word met die formule: X_L = rac{V_T}{I_L}
Ingevul: X_L = rac{240}{6} = 40 \, ext{Ω}