Mohlala oa Lipotso tsa Puisano ea Capacitor
Pendahuluan
Capacitor ke karolo ea elektroniki e bolokang matla ka mokhoa oa tšimo ea motlakase. Ho utloisisa li-capacitor ho bohlokoa haholo li-elektroniki, kaha li sebelisoa lits'ebetsong tse fapaneng, ho tloha lipotolohong tsa sefe ho ea polokelong ea matla. Sehloohong sena, re tla buisana ka mehlala e 'maloa ea mathata a li-capacitor le litlhaloso tsa tsona ho u thusa ho utloisisa mohopolo hamolemo le hore na li-capacitor li sebetsa joang.
Khopolo ea Motheo ea Li-Capacitor
Pele re kena mathateng a mohlala, ha re hlahlobeng ka bokhutšoanyane mohopolo oa motheo oa li-capacitor. Capacitor e na le lipoleiti tse peli tse tsamaisang motlakase tse arotsoeng ke dielectric. Ha capacitor e hokahantsoe le mohloli oa motlakase, tjhaja ea motlakase e bolokoa lipoleiting. Bokhoni, kapa bokhoni ba capacitor ba ho boloka tjhaja, bo lekanngoa ka farads (F).
Foromo ea motheo ea capacitor ke:
\[
Q = C \ makhetlo V
\]
Di mana:
– \( Q \) ke tjhaja ya motlakase ka hara di-coulombs (C)
– \( C \) ke bokgoni ba ho lekanya matla a farads (F)
– \( V \) ke motlakase ka di-volts (V)
Mohlala oa Potso ea 1: Ho Bala Tefiso ho Capacitor
Potso:
Capacitor e nang le capacitance ea 4 µF e hokahantsoe le mohloli oa motlakase oa 12 V. Bala tjhaja ea motlakase e bolokiloeng ka har'a capacitor.
Puisano:
Ho sebelisoa foromo ea motheo ea capacitor \( Q = C \times V \):
\[
Q = 4 \makgetlo a 10^{-6} F \makgetlo a 12 V = 48 \makgetlo a 10^{-6} C = 48 µC
\]
Kahoo, tjhaja e bolokilweng ka har'a capacitor ke 48 µC.
Mohlala oa Potso ea 2: Ho Bala Matla a Bolokiloeng ka Capacitor
Potso:
Capacitor ea 10 µF e tjhajwa ho fihlela motlakase o fihla ho 5 V. Ke matla a makae a bolokiloeng ka har'a capacitor?
Puisano:
Matla a bolokiloeng ka har'a capacitor a ka baloa ho sebelisoa foromo:
\[
E = \frac{1}{2} CV^2
\]
Di mana:
– \( E \) ke matla a li-joules (J)
– \( C \) ke bokgoni ba ho lekanya matla a farads (F)
– \( V \) ke motlakase ka di-volts (V)
\[
E = \frac{1}{2} \makgetlo a 10 \makgetlo a 10^{-6} F \makgetlo (5 V)^2 = \frac{1}{2} \makgetlo a 10 \makgetlo a 10^{-6} \makgetlo a 25 = 0.000125 J = 125 µJ
\]
Kahoo, matla a bolokiloeng ka har'a capacitor ke 125 µJ.
Mohlala oa 3: Potoloho ea Capacitor ea Letoto
Potso:
Li-capacitor tse peli, e 'ngoe le e 'ngoe e nang le capacitance ea 6 µF le 8 µF, li hokahane ka tatellano. Bala capacitance eohle ea potoloho.
Puisano:
Bakeng sa di-capacitor tse hokahantsweng ka letoto, kakaretso ya capacitance \( C_{total} \) e ka balwa ho sebediswa foromo:
\[
\frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2}
\]
\[
\frac{1}{C_{total}} = \frac{1}{6 \times 10^{-6} F} + \frac{1}{8 \times 10^{-6} F} = \frac{1}{6} + \frac{1}{8} = \frac{8 + 6}{48} = \frac{14}{48} = \frac{7}{24}
\]
\[
C_{total} = \frac{24}{7} \makgetlo a 10^{-6} F = 3.43 µF
\]
Kahoo, bokgoni bohle ba di-capacitor tse pedi tse hokahantsweng ka letoto ke 3.43 µF.
Mohlala oa 4: Potoloho ea Capacitor e Tšoanang
Potso:
Li-capacitor tse tharo tse nang le capacitance ea 2 µF, 4 µF, le 6 µF li hokahane ka ho lekana. Bala kakaretso ea capacitance ea potoloho.
Puisano:
Bakeng sa di-capacitor tse hlophisitsweng ka ho lekana, kakaretso ya capacitance \( C_{total} \) e ka balwa ka ho eketsa capacitance ya capacitor ka nngwe:
\[
C_{kakaretso} = C_1 + C_2 + C_3
\]
\[
C_{kakaretso} = 2 \ka makhetlo a 10^{-6} F + 4 \ka makhetlo a 10^{-6} F + 6 \ka makhetlo a 10^{-6} F = 12 \ka makhetlo a 10^{-6} F = 12 µF
\]
Kahoo, bokgoni bohle ba di-capacitor tse tharo tse hokahantsweng ka ho lekana ke 12 µF.
Mohlala Potso ea 5: Bokhoni ba ho sebelisa thepa ea Dielectric
Potso:
Capacitor e na le capacitance ea pele ea 5 µF. Haeba thepa ea dielectric e nang le constant ea dielectric (\(k \)) ea 3 e kenngoa lipakeng tsa lipoleiti tsa capacitor, capacitance e ncha e tla ba efe?
Puisano:
Bokgoni ba capacitor e nang le thepa ea dielectric bo ka baloa ho sebelisoa foromo:
\[
C' = k \makgetlo C
\]
Di mana:
– \( C' \) ke bokgoni bo bocha
– \( k \) ke phetoho ya dielectric
– \( C \) ke bokgoni ba pele
\[
C' = 3 \makgetlo a 5 \makgetlo a 10^{-6} F = 15 \makgetlo a 10^{-6} F = 15 µF
\]
Kahoo, ha thepa ea dielectric e nang le constant ea dielectric ea 3 e kenngoa, capacitance e ncha ke 15 µF.
Mohlala oa Potso ea 6: Li-capacitor ho Li-RC Circuits
Potso:
Potoloho ea RC e na le resistor ea 10 kΩ le capacitor ea 20 µF. Haeba motlakase o sebelisoa potolohong ena, ho tla nka nako e kae hore capacitor e tjhaje ho fihlela ho 63% ea motlakase oa eona o phahameng ka ho fetisisa?
Puisano:
Nako e hlokahalang hore capacitor e tjhaje ho fihlela ho 63% ya motlakase wa yona o moholo e lekana le nako e le nngwe e sa fetoheng \( \tau \) (tau), e balwang ka foromo:
\[
\tau = R \makhetlo C
\]
Di mana:
– \( \tau \) ke nako e sa fetoheng
– \( R \) ke khanyetso ho ohms (Ω)
– \( C \) ke bokgoni ba ho lekanya matla a farads (F)
\[
\tau = 10 \makgetlo a 10^3 \makgetlo a 20 \makgetlo a 10^{-6} = 0.2 s
\]
Kahoo, nako e hlokahalang hore capacitor e tjhaje ho fihlela ho 63% ya motlakase o moholo ke metsotsoana e 0.2.
Qetello
Ho buisana ka mathata a capacitor ke mohato oa bohlokoa oa ho utloisisa likhopolo tsa motheo le ts'ebeliso ea li-capacitor lipotolohong tse fapaneng tsa elektroniki. Ho tloha ho baleng tjhaja, matla, bokhoni bohle lipotolohong tse latellanang le tse bapileng, ho isa katlehong ea dielectric ho li-capacitor, bothata bo bong le bo bong ba mohlala bo fana ka temohisiso e tebileng ea hore na li-capacitor li sebetsa joang. Re tšepa hore mathata ana a mehlala a tla u thusa ho ithuta le ho utloisisa haholoanyane ka li-capacitor.
