11 Mienzaniso yematambudziko e capacitor - series ne parallel circuits
1. Zvitatu capacitor yakabatana muchikamu-chakafanana sezviri mumufananidzo uri pazasi. Kana C1 = 2 μF, C2 = 4 μF, C3 = 4 μF, saka kugona kwekutsiva ndiko…
Kukurukurirana
Zvinozivikanwa kuti:
Mubati C1 = 2 μF
Mubati C2 = 4 μF
Mubati C3 = 4 μF
Akabvunzwa: Kugona kutsiva (C)
Mhinduro:
Mubati C2 Zuva C3 yakabatana zvakafanana. Kugona kutsiva ndekwekuti:
CP = C2 + C3 = 4 + 4 = 8 μF
Mubati C1 Zuva CP zvakabatana zvakatevedzana. Kugona kutsiva ndekwekuti:
1/C = 1/C1 + 1/CP = 1/2 + 1/8 = 4/8 + 1/8 = 5/8
C = 8/5 μF
μF = micro Farad (chikamu chemagetsi capacitance ) . 1 μF = 10 -6 Farad
2. Ma capacitor matatu akabatana akatevedzana uye akafanana sezvakaratidzwa mumufananidzo uri pazasi. Kana C1 = 2 μF, C2 = 4 μF, C3 = 6 μF, C4 = 5 μF uye C5 = 10 μF, saka kugona kwekutsiva ndiko…
Kukurukurirana
Zvinozivikanwa kuti:
Mubati C1 = 2 μF
Mubati C2 = 4 μF
Mubati C3 = 6 μF
Mubati C4 = 5 μF
Mubati C5 = 10 μF
Akabvunzwa: Kugona kutsiva (C)
Mhinduro:
Mubati C2 Zuva C3 yakabatana zvakafanana. Kugona kutsiva ndekwekuti:
CP = C2 + C3
CP = 4 + 6
CP = 10 μF
Mubati C1, CP, C4 Zuva C5 zvakabatana zvakatevedzana. Kugona kutsiva ndekwekuti:
1/C = 1/C1 + 1/CP + 1/C4 + 1/C5
1/C = 1/2 + 1/10 + 1/5 + 1/10
1/C = 5/10 + 1/10 + 2/10 + 1/10
1/C = 9/10
C = 10/9 μF
3. C1 = 3 μF, C2 = 4 μF uye C3 = 3 μF. Ma capacitor matatu akabatana akatevedzana uye akafanana. Sarudza simba remagetsi riri mudunhu!
Kukurukurirana
Zvinozivikanwa kuti:
Mubati C1 = 3 μF
Mubati C2 = 4 μF
Mubati C3 = 3 μF
Akabvunzwa: Kugona kutsiva (C)
Mhinduro:
Mubati C2 Zuva C3 yakabatana zvakafanana. Kugona kutsiva ndekwekuti:
CP = C2 + C3
CP = 4 + 3
CP = 7 μF
Mubati C1 Zuva CP zvakabatana zvakatevedzana. Kugona kutsiva ndekwekuti:
1/C = 1/C1 + 1/CP
1/C = 1/3 + 1/7
1/C = 7/21 + 3/21
1/C = 10/21
C = 21/10
C = 2,1 μF
C = 2,1 x 10-6 F
Simba remagetsi mudunhu:
E = ½ CV2
E = ½ (2,1 x 10)-6)(122)
E = ½ (2,1 x 10)-6)(144)
E = (2,1 x 10)-6)(72)
E = 151,2 x 10-6 Joule
E = 1,5 x 10-4 Joule
4. Tarisa dhayagiramu yedunhu re capacitor padivi! Mutengo wese wedunhu re capacitor uri… (1 μF = 10 -6 F)
A. 1,50 μC
B. 2,75 μC
C. 3,50 μC
D. 4,50 μC
E. 4,75 μC
Kukurukurirana
Zvinozivikanwa kuti:
Capacitor 1 (C 1 ) = 3 μF
Capacitor 2 (C 2 ) = 3 μF
Capacitor 3 (C 3 ) = 3 μF
Capacitor 4 (C 4 ) = 2 μF
Capacitor 5 (C 5 ) = 3 μF
Voltage (V) = 3 Volts
Mubvunzo: Mari yese pa capacitor circuit (Q)
Mhinduro:
Capacitor yekutsiva
MaCapacitor C1 , C2 naC3 akabatana akatevedzana. MaCapacitor ekutsiva :
1/C 123 = 1/C 1 + 1/C 2 + 1/C 3 = 1/3 + 1/3 + 1/3 = 3/3
C 123 = 3/3 = 1 μF
MaCapacitor C123 neC4 akabatana zvakafanana. Capacitor inotsiva :
C 1234 = C 123 + C 4 = 1 + 2 = 3 μF
MaCapacitor C 1234 neC 5 akabatana muzvikamu zvakatevedzana. Capacitor inotsiva:
1/C = 1/C 1234 + 1/C 5 = 1/3 + 1/3 = 2/3
C = 3/2 μF
C = 3/2 x 10 -6 F
Mutengo wemagetsi wese
Chaja yemagetsi pa capacitor inotsiva = chaja yese pa capacitor circuit :
Q = VC = (3 Volt)(3/2 x 10 -6 Farad) = 9/2 x 10 -6 Coulomb
Q = 9/2 microCoulomb = 9/2 μC
Q = 4,5 μC
Mhinduro chaiyo ndiD.
5. Tarisa dhayagiramu yedunhu re capacitor padivi! Kana kukosha kwe capacitor yega yega C1 = C2 = 2 μF, C3 = C4 = 1 μF uye C5 = 4 μF, saka huwandu hwese hwekuchaja mudunhu iri… (1 μF = 10-6 F)
A. 1/7 μC
B. 2/7 μC
C. 4/7 μC
D. 6/7 μC
E. 1 μC
Kukurukurirana
Zvinozivikanwa kuti:
Capacitor 1 (C 1 ) = 2 μF
Capacitor 2 (C 2 ) = 2 μF
Capacitor 3 (C 3 ) = 1 μF
Capacitor 4 (C 4 ) = 1 μF
Capacitor 5 (C 5 ) = 4 μF
Voltage (V) = 1,5 Volts
Zvinodiwa: Mari yese inochajwa padunhu (Q)
Mhinduro:
Capacitor yekutsiva
MaCapacitor C3 neC4 akabatana zvakafanana. Capacitor inotsiva :
C 34 = C 3 + C 4 = 1 + 1 = 2 μF
MaCapacitor C5 , C1 , C2 naC34 akabatanidzwa muzvikamu zvakatevedzana. MaCapacitor ekutsiva :
1/C = 1/C 5 + 1/C 1 + 1/C 2 + 1/C 34
1/C = 1/4 + 1/2 + 1/2 + 1/2
1/C = 1/4 + 2/4 + 2/4 + 2/4
1/C = 7/4
C = 4/7 μF
C = 4/7 x 10 -6 F
Mutengo wemagetsi wese
Chaja yemagetsi pa capacitor inotsiva = chaja yese padunhu :
Q = VC = (1,5 Volt)(4/7 x 10 -6 Farad) = 6/7 x 10 -6 Coulomb
Q = 6/7 microCoulomb
Q = 6/7 μC
Mhinduro chaiyo ndiD.
6. Tarisa dunhu re capacitor rinotevera! Mutengo wese uri mudunhu iri…
A. 20 μC 
B. 40 μC
C. 60 μC
D. 80 μC
E. 160 μC
Kukurukurirana
Zvinozivikanwa kuti:
Capacitor 1 (C 1 ) = 3 μF
Capacitor 2 (C 2 ) = 3 μF
Capacitor 3 (C 3 ) = 4 μF
Capacitor 4 (C 4 ) = 4 μF
Capacitor 5 (C 5 ) = 8 μF
Voltage (V) = 10 Volts
Zvinodiwa: Mari yese inochajwa padunhu (Q)
Mhinduro:
Capacitor yekutsiva
MaCapacitor C 1 neC 2 akabatana zvakafanana. Capacitor inotsiva:
C 12 = C 1 + C 2 = 3 + 3 = 6 μF
MaCapacitor C3 neC4 akabatana akatevedzana. Capacitor inotsiva :
1/C 34 = 1/C 3 + 1/C 4 = 1/4 + 1/4 = 2/4
C 34 = 4/2 = 2 μF
Capacitor C 12 , capacitor C 34 uye capacitor C 5 zvakabatana zvakafanana. Capacitor inotsiva:
C = C 12 + C 34 + C 5 = 6 + 2 + 8 = 16 μF = 16 x 10 -6 Mafaradhi
Mutengo wemagetsi wese
Chaja yemagetsi pa capacitor inotsiva = chaja yese pa capacitor circuit :
Q = VC = (10 Volts)( 16 x 10 -6 Farads) = 160 x 10 -6 Coulombs
Q = 160 microCoulomb = 160 μC
Mhinduro chaiyo ndiE.
7. Tarisa dhayagiramu yedunhu re capacitor padivi! Huwandu hwesimba remagetsi mudunhu iri… (1 µF = 10-6 F)
A. 65 x 10-6 Joule
B. 52 x 10-6 Joule
C. 39 x 10-6 Joule
D. 26 x 10-6 Joule
E. 13 x 10-6 Joule
Kukurukurirana
Zvinozivikanwa :
Muchina weCapacitor 1 (C)1) = 3 µF
Muchina weCapacitor 2 (C)2) = 1 µF
Muchina weCapacitor 3 (C)3) = 2 µF
Muchina weCapacitor 4 (C)4) = 6 µF
Muchina weCapacitor 5 (C)5) = 4 µF
Mhepo yemagetsi (V) = 5 volts
Akabvunzwa : Simba remagetsi mudunhu
Jawab :
Chinotsiva capacitor yedunhu re capacitor rakatevedzana-rakafanana
MaCapacitor 2 ne3 akabatana zvakafanana. Capacitor yekutsiva:
CA = C2 + C3 = 1 + 2 = 3 µF
Capacitor 1, capacitor A uye capacitor 4 zvakabatana zvakatevedzana. Capacitor inotsiva:
1 / CB = 1/C1 + 1/CA + 1/C4 = 1/3 + 1/3 + 1/6 = 2/6 + 2/6 + 1/6 = 5/6
CB = 6/5 µF
Capacitor B ne capacitor 5 zvakabatana zvakafanana. Capacitor yekutsiva:
C = CB + C5 = 6/5 + 4 = 6/5 + 16/4 = 24/20 + 80/20 = 104/20 = 5,2 µF
C = 5,2 x 10-6 Farad
Simba remagetsi mudunhu
E = ½ CV2 = ½ (5,2 x 10)-6)(52) = (2,6 x 10-6)(25)
E = 65 x 10-6 Joule
Mhinduro chaiyo ndiA.
8. Tarisa dhayagiramu yedunhu re capacitor inotevera! Huwandu hwesimba remagetsi mudunhu iri re capacitor rakabatana i… (1 µF = 10-6 F)
A. 0,6 x 10-3 Joule
B. 1,2 x 10-3 Joule
C. 1,8 x 10-3 Joule
D. 2,4 x 10-3 Joule
E. 3,0 x 10-3 Joule
Kukurukurirana
Zvinozivikanwa :
Muchina weCapacitor 1 (C)1) = 4 µF
Muchina weCapacitor 2 (C)2) = 6 µF
Muchina weCapacitor 3 (C)3) = 12 µF
Muchina weCapacitor 4 (C)4) = 2 µF
Muchina weCapacitor 5 (C)5) = 2 µF
Mhepo yemagetsi (V) = 40 volts
Akabvunzwa : Simba remagetsi mudunhu
Jawab :
Chinotsiva capacitor yedunhu re capacitor rakatevedzana-rakafanana
Capacitor 1, capacitor 2 uye capacitor 3 zvakabatana zvakatevedzana. Capacitor inotsiva:
1 / CA = 1/C1 + 1/C2 + 1/C3 = 1/4 + 1/6 + 1/12 = 3/12 + 2/12 + 1/12 = 6/12
CA = 12/6 = 2 µF
MaCapacitor 4 ne5 akabatana akatevedzana. Capacitor yekutsiva:
1 / CB = 1/C4 + 1/C5 = 1/2 + 1/2 = 2/2
CB = 2/2 = 1 µF
Capacitor A ne capacitor B zvakabatana zvakafanana. Capacitor inotsiva:
C = CA + CB = 2 + 1 = 3 µF
C = 3 x 10-6 Farad
Simba remagetsi mudunhu
E = ½ CV2 = ½ (3 x 10)-6)(402) = (1,5 x 10-6)(1600)
E = 2400 x 10-6 = 2,4 x gumi-3 Joule
Mhinduro chaiyo ndiD.
9. Tarisa dhayagiramu yedunhu remagetsi inotevera. Simba rinochengetwa mudunhu remagetsi riri pamusoro apa…
A. 576 Joule
B. 288 Joule
C. 144 Joule
D. 72 Joule
E. 48 Joules
Kukurukurirana
Zvinozivikanwa :
Muchina weCapacitor 1 (C)1) = 4 F
Muchina weCapacitor 2 (C)2) = 4 F
Muchina weCapacitor 3 (C)3) = 4 F
Muchina weCapacitor 4 (C)4) = 4 F
Muchina weCapacitor 5 (C)5) = 2 F
Mhepo yemagetsi (V) = 12 volts
Akabvunzwa : Simba remagetsi mudunhu
Jawab :
Jawab :
Chinotsiva capacitor yedunhu re capacitor rakatevedzana-rakafanana
Capacitor 1, capacitor 2 uye capacitor 3 zvakabatana zvakafanana. Capacitor inotsiva:
CA = C1 + C2 + C3 = 4 + 4 + 4 = 12 F
MaCapacitor 4 ne5 akabatana zvakafanana. Capacitor yekutsiva:
CB = C4 + C5 = 4 + 2 = 6 F
Capacitor A ne capacitor B zvakabatana zvakatevedzana. Capacitor inotsiva:
1/C = 1/CA + 1/CB = 1/12 + 1/6 = 1/12 + 2/12 = 3/12
C = 12/3 = 4 Farad
Simba remagetsi mudunhu
E = ½ CV2 = ½ (4)(122) = (2)(144)
E = 288 Joule
Mhinduro chaiyo ndeiyi B.
10. 
Tarisa dunhu riri pazasi! Hukuru hwekuchaja pa capacitor C5 iri….
A. 36 Coulombs
B. 24 Coulombs
C. 12 Coulombs
D. 6 Coulombs
E. 4 Coulombs
Kukurukurirana
Zvinozivikanwa kuti:
Muchina weCapacitor 1 (C)1) = 6 F
Muchina weCapacitor 2 (C)2) = 6 F
Muchina weCapacitor 3 (C)3) = 3 F
Muchina weCapacitor 4 (C)4) = 12 F
Muchina weCapacitor 5 (C)5) = 6 F
Voltage (V) = 12 Volts
Mubvunzo: Chaji iri pa capacitor (C)5)
Mhinduro:
Kapastor
Mubati C2 uye capacitor C3 yakabatana muzvikamu zvakatevedzana. Capacitor yekutsiva:
1 / CA = 1/C2 + 1/C3 = 1/6 + 1/3 = 1/6 + 2/6 = 3/6
CA = 6/3 = 2 Farad
Mubati C4 uye capacitor C5 yakabatana muzvikamu zvakatevedzana. Capacitor yekutsiva:
1 / CB = 1/C4 + 1/C5 = 1/12 + 1/6 = 1/12 + 2/12 = 3/12
CB = 12/3 = 4 Farad
Mubati CA uye capacitor CB yakabatana zvakafanana. Capacitor yekutsiva:
CC = CA + CB = 2 + 4 = 6 Farad
Mubati C1 uye capacitor CC zvakabatana munhevedzano:
1/C = 1/C1 + 1/CC = 1/6 F + 1/6 F = 2/6
C = 6/2 = 3 Farad
Kuchaja Kwemagetsi
Chaja yemagetsi pane capacitor inotsiva C:
q = VC = (12 Volts)(3 Farads) = 36 Coulombs
Capacitor 1 ne capacitor CC zvakabatana zvakatevedzana kuitira kuti chaji yemagetsi pane capacitor inotsiva C = chaji yemagetsi pane capacitor C1 = kuchaja kwemagetsi pa capacitor CC = 36 Coulombs.
Mubati CC ine simba remaFarad matanhatu uye ine chaji yeCoulombs makumi matatu nematanhatu. Musiyano unogona kuvapo pakati pe capacitor CC iri: V = q/CC = 36 Coulombs / 6 Farads = 6 Volts
Mubati CC i capacitor inotsiva capacitor CA uye capacitor CB izvo zvakabatana zvakafanana. Nokudaro musiyano unogona kuitika pakati pe capacitor CC (VC) = musiyano unogona kuitika pakati pe capacitor CA (VA) = musiyano unogona kuitika pakati pe capacitor CB (VB) = 6 Volts.
Chaja yemagetsi pa capacitor CB :
qB =VB CB = (6 Volts)(4 Farads) = 24 Coulombs
CB capacitor inotsiva C capacitor4 Zuva C5 dzakabatana munhevedzano. Nekuti dzakabatana munhevedzano, chaji yemagetsi pa capacitor CB (qB) = kuchaja kwemagetsi pa capacitor C4 (q4) = kuchaja kwemagetsi pa capacitor C5 (q5) = 24 Coulombs.
Mhinduro chaiyo ndeiyi B.
11. Ma capacitor mashanu akafanana e20 µF rimwe nerimwe akarongwa sezvakaratidzwa mumufananidzo, akabatana ne 6 volt voltage source. Huwandu hwechaji hwakachengetwa pa capacitor C 5 ndehwe….
A. 12 µC
B. 24 µC
C. 60 µC
D. 120 µC
E. 600 µC
Kukurukurirana
Zvinozivikanwa kuti:
Mubati C1 = C2 = C3 = C4 = C5 = 20 µF
Musiyano ungangoitika (V) = 6 Volts
Mubvunzo: Mari yese inochengetwa pa capacitor C5
Mhinduro:
Kapastor
Mubati C1 uye capacitor C2 yakabatana muzvikamu zvakatevedzana. Capacitor yekutsiva:
1 / CA = 1/C1 + 1/C2 = 1/20 + 1/20 = 2/20
CA = 20/2 = 10 µF
Mubati C3 uye capacitor C4 yakabatana muzvikamu zvakatevedzana. Capacitor yekutsiva:
1 / CB = 1/C3 + 1/C4 = 1/20 + 1/20 = 2/20
CB = 20/2 = 10 µF
Mubati CA uye capacitor CB yakabatana zvakafanana. Capacitor yekutsiva:
CC = CA + CB = 10 + 10 = 20 µF
Mubati CC uye capacitor C5 zvakabatana munhevedzano:
1/C = 1/CC + 1/C5 = 1/20 + 1/20 = 2/20
C = 20/2 = 10 µF
Kuchaja Kwemagetsi
Chaja yemagetsi pane capacitor inotsiva C:
q = VC = (6 Volts)(10 x 10-6 Farad) = 60 x 10-6 Coulomb = 60 µC
Mubati CC uye capacitor 5 yakabatana zvakatevedzana kuitira kuti chaji yemagetsi pane capacitor inotsiva C = chaji yemagetsi pane capacitor CC = kuchaja kwemagetsi pa capacitor C5 = 60 µC.
Mhinduro chaiyo ndiC.
Kwakabva mubvunzo:
Mibvunzo yeNational Examination Physics yeChikoro Chesekondari/Chikoro Chepamusoro Chebasa
