1. Poindi A iri chinhambwe che5 cm kubva pakuchaja kwe +10 micro Coulombs. Hukuru negwara remagetsi panzvimbo A… (k = 9 x 109 Nm2C-2, 1 micro Coulomb = 10-6 C)
Kukurukurirana
Zvinozivikanwa :

Akabvunzwa : Hukuru uye kutungamira kwemunda wemagetsi panzvimbo A
Jawab :
Kutungamira kwemunda wemagetsi panzvimbo A :
Chaji yemagetsi yakanaka, saka divi remagetsi riri kure nechaji yemagetsi uye kure nepoindi A.
2. Kureba pakati penzvimbo P nekuchaja kwe -20 micro Coulombs i10 cm. Sarudza simba renzvimbo yemagetsi uye kutungamira kwenzvimbo yemagetsi panzvimbo P.
Kukurukurirana
Zvinozivikanwa :

Akabvunzwa : Hukuru uye kwakananga simba remagetsi panzvimbo P
Jawab :
Kutungamira kwemunda wemagetsi panzvimbo A :
Chaji yemagetsi haina kunaka, saka divi remagetsi riri pachaji yemagetsi uye riri kure nepfungwa P.
3. Machaji maviri emagetsi akaparadzaniswa nechinhambwe che40 cm. Simba remagetsi nenzvimbo yemagetsi panzvimbo iri pakati pemachaji maviri aya…
Kukurukurirana
Ngatitii poindi iri pakati pemachaja maviri iyi poindi P.
Zvinozivikanwa :
Akabvunzwa : hukuru uye gwara remagetsi panzvimbo iri pakati pemachaji maviri (point P)
Jawab :
Munda wemagetsi unogadzirwa nechaji A panzvimbo P :

Chaji A haina kunaka saka divi remagetsi riri kuChaji A (kuruboshwe).
Munda wemagetsi unogadzirwa nechaji B panzvimbo P :
Chaji B yakanaka saka divi remagetsi riri kure nechaji B (kuruboshwe).
Munda wemagetsi unobva panzvimbo A :
EA uye EB nenzira imwe chete saka zvinowedzerwa pamwe chete.
E = EA +EB
E = (4,5 x 10)5) + (9 x 105)
E = 13,5 x 105 N / C.
Kwakananga simba remagetsi kuri kunanga kuchaja A uye kure nechaja B (kuruboshwe).
4. Simba remagetsi harisi zero panzvimbo iri kure ne…
Kukurukurirana
Chaja A iri positive uye chaja B iri positive, saka simba remagetsi riri zero, riri pakati pechaja mbiri. Ngatitii nzvimbo ine simba remagetsi riri zero iri point P.
Zvinozivikanwa :
Akabvunzwa : hapana simba remagetsi riri panzvimbo iri kure ne…
Jawab :
Munda wemagetsi unogadzirwa nechaji A panzvimbo P :
Chaji A yakanaka saka divi remagetsi rakagadzirwa nechaji A panzvimbo P riri kure nechaji A (kurudyi).
Munda wemagetsi unogadzirwa nechaji B panzvimbo P :
Chaji B yakanaka saka divi remagetsi rakagadzirwa nechaji B panzvimbo P riri kure nechaji B (kuruboshwe).
Munda wemagetsi unobuda panzvimbo P = 0 :
EA uye EB divi rakapesana.
EA - EB = 0
EA =EB
Shandisa fomura yeABC kuti uone kukosha kwe a.

Simba remagetsi risina simba riri panzvimbo iri 8 cm kubva pachaji A kana 12 cm kubva pachaji B.
5. Nhambwe iri pakati pemachaji maviri A neB i3 metres. Poindi O iri pakati pemachaji maviri uye iri 2 metres kubva pachaji B. qA = –300 μC uye qB = 600 μC. k = 9 × 109 N m2 C-2Simba remagetsi panzvimbo yeO rinokonzerwa nekuchaja qA uye qB iri…
A. 9 × 105 N / C.
B. 18 × 105 N / C.
C. 52 × 105 N / C.
D. 60 × 105 N / C.
E. 81 × 105 N / C.
Kukurukurirana:
Zvinozivikanwa :
qA = –300 μC, qB = 600 μC, k = k = 9 × 109 N m2 C-2
Akabvunzwa :
Simba remagetsi (E) riri padanho reO chii?
Jawab :

Simba remunda rinobuda:
E = EA +EB
E = (2700 x 10)3 N/C) + (5400 x 103 Hazvina kukwana)
E = 8100 x 103 N / C.
E = 81 x 105 N / C.
Mhinduro chaiyo ndiE.
6. Mari mbiri imwe neimwe ye q1 = -20 μC uye q2 = -40 μC. Kana iri panzvimbo P iri 20 cm kubva pa q2 simba remagetsi rinobuda pairi izero, saka kukosha kwaro izero x iri…
A. 11 cm
B. 12 cm
C. 13 cm
Kureba 14 cm
E. 15 cm
Kukurukurirana:
Zvinozivikanwa :
q1 = -20 μC, q2 = -40 μC, r2 = 0,2 m, r1 = x
Akabvunzwa :
Kureba kwenzvimbo P kubva pa q1 (x) ?
Jawab :

Simba remagetsi rinobuda panhamba P rinova zero:
Mhinduro chaiyo ndiD.
7. Poindi A iri pakati pemachaji maviri ane saizi imwe chete asi marudzi akasiyana akaparadzaniswa nedaro. Hukuru hwesimba remagetsi panzvimbo A panguva iyoyo i36 NC -1 . Kana poindi A ikachinjirwa ¼ padyo neimwe yemachaji, saka hukuru hwesimba remagetsi panzvimbo A mushure mekuchinjirwa i….
A. 100 NC -1
B. 96 NC -1
C. 80 NC -1
D. 60 NC -1
Chikamu 16 NC -1
Kukurukurirana
Zvinozivikanwa kuti :
Mutengo 1 (q 1 ) = +Q
Mutengo wechipiri (q 2 ) = -Q
Daro riri pakati pekuchaja 1 nepoindi A (r 1A ) = ½ a
Daro riri pakati pekuchaja 2 nepoindi A (r 2A ) = ½ a
Simba remagetsi panzvimbo A (EA ) = 36 NC -1
Mubvunzo : Kana poindi A ikachinjwa ¼ padyo neimwe yechaji, saka simba remagetsi repoindi A...
Mhinduro :
Danho rekutanga.
Kuti uverenge simba remagetsi panzvimbo A, ngatiti pane positive test charge panzvimbo iyoyo. Kuvapo kwe positive test charge kunokanganisa divi remagetsi.
Munda wemagetsi unogadzirwa nechaji +Q panzvimbo A :

Chaji yekuyedza iri positive uye chaji 1 iri positive saka divi remagetsi riri kunanga kuchaji 2.
Munda wemagetsi unogadzirwa nechaji -Q panzvimbo A :

Chaji yekuyedza iri positive uye chaji yechipiri iri negative saka divi remagetsi riri kunanga kuchaji yechipiri.
Munda wemagetsi unobva panzvimbo A :

Danho rechipiri.
Kana poindi A ikachinjwa kusvika padyo nechaji 1 saka:
Nhambwe iri pakati pekuchaja 1 nepoindi A (r 1A ) = ¼ a
Daro riri pakati pekuchaja 2 nepoindi A (r 2A ) = ¾ a
Munda wemagetsi unogadzirwa nechaji +Q panzvimbo A :

Chaji yekuyedza iri positive uye chaji 1 iri positive saka divi remagetsi riri kunanga kuchaji 2.
Munda wemagetsi unogadzirwa nechaji -Q panzvimbo A :

Chaji yekuyedza iri positive uye chaji yechipiri iri negative saka divi remagetsi riri kunanga kuchaji yechipiri.
Munda wemagetsi unobva panzvimbo A :

Mhinduro chaiyo ndiC.
8. Zvidimbu zviviri chimwe nechimwe chine chaji q A = 1 μC uye q B = 4 μC zvinoiswa 4 cm kubva pazvakaparadzana (k = 9 x 10 9 N m 2 C −2 ). Simba remagetsi riri pakati pe q A ne q B ndiro…
A. 6,75 x 10 7 NC −1
B. 4,50 x 10 7 NC −1
C. 4,20 x 10 7 NC −1
D. 3,60 x 10 7 NC −1
E. 2,25 x 10 7 NC −1
Kukurukurirana
Zvinozivikanwa kuti :
Chaja A (q A ) = 1 μC = 1 x 10 −6 C
Chaja B (q B ) = 4 μC = 4 x 10 −6 C
k = 9 x 10 9 N m 2 C −2
Nhambwe iri pakati pechaja A neB (r AB ) = 4 cm = 0,04 metres
Nhambwe iri pakati pechaja A nenzvimbo yepakati (r A ) = 0,02 metres
Nhambwe iri pakati pechaji B nepakati (r B ) = 0,02 metres
Mubvunzo : Simba remagetsi riri pakati pe q A ne q B ndiro…
Mhinduro :
Kuti uverenge simba remagetsi pakati pa q A na q B , ngatitii muripo wekuyedza uripo pakati pemuripo miviri. Kuvapo kwemuripo wekuyedza uripo kunokanganisa divi remagetsi.
Munda wemagetsi unogadzirwa nechaji A pakati :
![]()
Chaji yekuyedza iri positive uye chaji A iri positive saka divi remagetsi riri kunanga kuchaji B.
Munda wemagetsi unogadzirwa nechaji B pakati :

Chaji yekuyedza iri positive uye chaji B iri positive saka divi remagetsi riri kunanga kuchaji A.
Munda wemagetsi unobva panzvimbo yepakati :
E A neE B zviri kumativi akasiyana.
E = E B – E A = 9 x 10 7 – 2,25 x 10 7 = 6,75 x 10 7 NC -1
Mhinduro chaiyo ndiA.
9. Tarisa mufananidzo unotevera wezvinongedzo zviviri! Poindi P iri kupi kuitira kuti simba remagetsi panzvimbo P rienzane ne zero? (k = 9 x 10 9 Nm 2 C −2 , 1 μC = 10 −6 C)

A. pakati chaipo peMubvunzo 1 neMubvunzo 2
B. 6 cm kurudyi rweQ2
C. 6 cm kuruboshwe rweQ1
D. 2 cm kurudyi rweQ2
E. 2 cm kuruboshwe rweQ1
Kukurukurirana
Kuti uverenge simba remagetsi panzvimbo P, fungidzira kuti pane positive test charge panzvimbo P. Q 1 iri positive uye Q 2 iri negative, saka poindi P inofanira kunge iri kurudyi rweQ 2 kana kuruboshwe rweQ 1. Kana poindi P iri kuruboshwe rweQ 1 ; munda wemagetsi unogadzirwa nepoindi Q 1 panzvimbo P unonangidzirwa kuruboshwe (kure neQ 1 ) uye munda wemagetsi unogadzirwa neQ 2 panzvimbo P unonangidzirwa kurudyi (kuna Q 1 ). Nekuti divi remunda wemagetsi rakapesana, maviri aya anodzimana kuitira kuti simba remagetsi panzvimbo P rive zero.
Zvinozivikanwa kuti :
Mubvunzo 1 = +9 μC = +9 x 10 −6 C
Mubvunzo 2 = -4 μC = -4 x 10 −6 C
k = 9 x 10 9 Nm 2 C −2
Daro riri pakati pekuchaja 1 nekuchaja 2 = 3 cm
Daro riri pakati peQ 1 nepoindi P (r 1P ) = a
Daro riri pakati peQ 2 nepoindi P (r 2P ) = 3 cm + a
Mubvunzo : Poindi P iri kupi zvekuti simba remagetsi panzvimbo P rakaenzana ne zero?
Mhinduro :
Poindi P iri kuruboshwe rweQ1.

Munda wemagetsi unobva panzvimbo A :

Shandisa fomura yeABC kuti uone kukosha kwe a.

10. Tarisa mufananidzo unotevera! Chaji q 3 inoiswa padaro re5 cm kubva pa q 2 , ipapo simba remagetsi pachaji q 3 riri… (1 µC = 10 -6 C)
A. 4,6 x 107 NC-1
B. 3,6 x 10 7 NC -1
C. 1,6 x 10 7 NC -1
D. 1,4 x 10 7 NC -1
E. 1,3 x 10 7 NC -1
Kukurukurirana
Chaji q 3 inoiswa padaro re5 cm kubva pa q 2 , zvichireva kuti kwete kuruboshwe rwe q 2 asi kurudyi rwe q 2. Kana iri kuruboshwe rwe q 2 saka simba remagetsi rinobuda i zero. Izvi zvinodaro nekuti daro riri pakati pechaji q 3 nechaji q 1 ne q 2 i5 cm uye hukuru hwechaji q 1 hwakafanana nechaji q 2.
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Nekuti chaji q 3 yakanaka, kutungamira kwesimba remagetsi pachaji q 3 kuri kuenda kune negative charge q 2 (E 2 ) uye kure nechaji q 1 (E 1 ). Simba remagetsi rinobuda ndiro huwandu hwesimba resimba remagetsi E 1 na E 2.
Zvinozivikanwa kuti :
Chaji q 1 = 5 µC = 5 x 10 -6 Coulomb
Chaji q 2 = 5 µC = -5 x 10 -6 Coulomb
Nhambwe iri pakati pechaji q 1 nechaji q 3 (r 1 ) = 15 cm = 0,15 m = 15 x 10 -2 mamita
Nhambwe iri pakati pechaji q 2 nechaji q 3 (r 2 ) = 5 cm = 0,05 m = 5 x 10 -2 mamita
k = 9 x 10 9 N m 2 C -2
Mubvunzo : Simba remagetsi riripo pachaji q 3
Mhinduro :
Simba remagetsi 1
E 1 = kq 1 / r 1 2
E 1 = (9 x 10 9 )(5 x 10 -6 ) / (15 x 10 -2 ) 2
E 1 = (45 x 10 3 ) / (225 x 10 -4 )
E 1 = 0,2 x 10 7 N/C
Simba remagetsi 2
E 2 = kq 2 / r 2 2
E 2 = (9 x 10 9 )(5 x 10 -6 ) / (5 x 10 -2 ) 2
E 2 = (45 x 10 3 ) / (25 x 10 -4 )
E 2 = 1,8 x 10 7 N/C
Simba remagetsi rinobuda
Simba remagetsi rinobuda pachaji q 3 nderinotevera:
E = E 2 – E 1 = (1,8 x 10 7 ) – (0,2 x 10 7 ) = 1,6 x 10 7 N/C
Kutungamira kwesimba remagetsi kuri kuruboshwe kana kuti kudivi reE2.
Mhinduro chaiyo ndiC.
11. Machaji maviri emagetsi akaparadzaniswa sezvakaratidzwa mumufananidzo. Simba remunda panzvimbo P ndiro… (k = 9 x 10 9 N m 2 C -2 )
A. 9,0 x 109 NC-1
B. 4,5 x 10 9 NC -1
C. 3,6 x 10 9 NC -1
D. 5,4 x 10 9 NC -1
E. 4,5 x 10 9 NC -1
Kukurukurirana

Zvinozivikanwa kuti :
Mari q A = +2,5 C
Mari q B = -2 C
Nhambwe iri pakati pekuchaja q A nepoindi P (r A ) = 5 m
Nhambwe iri pakati pekuchaja q B nepoindi P (r B ) = 2 m
k = 9 x 10 9 N m 2 C -2
Mubvunzo : Simba remagetsi panzvimbo P
Mhinduro :
Simba remagetsi A
E A = kq A / r A 2
E A = (9 x 10 9 )(2,5) / (5) 2
E A = (22,5 x 10 9 ) / 25
EA = 0,9 x 10 9 N / C
Simba remagetsi B
E B = kq B / r B 2
E B = (9 x 10 9 )(2) / (2) 2
E B = (18 x 10 9 ) / 4
E B = 4,5 x 10 9 N/C
Simba remagetsi rinobuda
Simba remagetsi rinobuda panhamba P nderinotevera:
E = E B – E A = (4,5 – 0,9) x 10 9 = 3,6 x 10 9 N/C
Kutungamira kwesimba remagetsi kuri kuruboshwe kana kuti kudivi reE B.
Mhinduro chaiyo ndiC.
12. Machaji maviri emagetsi, imwe neimwe ine chaji Q 1 = -40 µC uye Q 2 = +5 µC, ari panzvimbo sezvakaratidzwa mumufananidzo (k = 9 x 10 9 Nm 2 .C -2 uye 1 µC = 10 -6 C), simba remagetsi panzvimbo P riri...
A. 2,25 x 106 NC-1
B. 2,45 x 10 6 NC -1
C. 5,25 x 10 6 NC -1
D. 6,75 x 10 6 NC -1
E. 9,00 x 10 6 NC -1
Kukurukurirana

Zvinozivikanwa kuti :
Chaji q 1 = -40 µC = -40 x 10 -6 C
Chaji q 2 = +5 µC = +5 x 10 -6 C
Nhambwe iri pakati pekuchaja q 1 nepoindi P (r 1 ) = 40 cm = 0,4 m = 4 x 10 -1 m
Nhambwe iri pakati pekuchaja q 2 nepoindi P (r 2 ) = 10 cm = 0,1 = 1 x 10 -1 m
k = 9 x 10 9 N m 2 C -2
Mubvunzo : Simba remagetsi panzvimbo P
Mhinduro :
Simba remagetsi 1
E 1 = kq 1 / r 1 2
E 1 = (9 x 10 9 )(40 x 10 -6 ) / (4 x 10 -1 ) 2
E 1 = (360 x 10 3 ) / (16 x 10 -2 )
E 1 = 22,5 x 10 5 N/C
Simba remagetsi 2
E 2 = kq 2 / r 2 2
E 2 = (9 x 10 9 )(5 x 10 -6 ) / (1 x 10 -1 ) 2
E 2 = (45 x 10 3 ) / 1 x 10 -2
E 2 = 45 x 10 5 N/C
Simba remagetsi rinobuda
Simba remagetsi rinobuda panhamba P nderinotevera:
E = E 2 – E 1 = (45 – 22,5) x 10 5 = 22,5 x 10 5 N/C
E = 2,25 x 10 6 N/C
Kutungamira kwesimba remagetsi kuri kurudyi kana kuti kudivi reE2.
13. Kubva pamufananidzo unotevera wechaji, unoratidza kuti mitsetse yesimba pachaji mbiri dziri pedyo iri...

Kukurukurirana
Mitsetse yemagetsi, kana kuti mitsetse yesimba, inotorwa kubva pakuchaja kwakanaka kuenda pakuchaja kusina kunaka. Kana chaja yakanaka neyakaipa zvikabatana, mitsetse yesimba inoonekwa semhinduro A.
Mhinduro chaiyo ndiA.
8. Machaji maviri emagetsi anoswededzwa pedyo nepedyo mumutsara unobatanidza kuitira kuti agadzire tambo dzemagetsi. Mufananidzo chaiwo ndewekuti…


Kukurukurirana
Mhinduro chaiyo ndiD.
9. Mitsetse chaiyo yesimba pakati pekuchaja mbiri ndeiyi…

Kukurukurirana
Mhinduro chaiyo ndiD.
14. Tarisa mufananidzo unotevera wepoindi mbiri!

Poindi P iri kupi zvekuti simba remagetsi panzvimbo P rakaenzana ne zero?
(k = 9.10 9 Nm 2 .C -2 , 1 µC = 10 -6 C)
A. 1 cm kurudyi rweq 1
B. 1 cm kurudyi rwe q 2
C. ½ cm kurudyi rwe q 2
D. ½ cm kuruboshwe rweq 1
E. ½ cm kurudyi rweq 1
Kukurukurirana
Zvinozivikanwa kuti:
Chaja 1 (q 1 ) = -9 µC = -9.10 -6 Coulomb
Chaja 2 (q 2 ) = 1 µC = 1.10 -6 Coulomb
Nhambwe iri pakati peq 1 neq 2 (r 12 ) = 1 cm
k = 9.10 9 Nm 2 .C -2
Mubvunzo: Poindi P iri kupi zvekuti simba remagetsi panzvimbo P rakaenzana ne zero?
Mhinduro:
E 1 = simba remagetsi rinogadzirwa ne q 1 panzvimbo P
Kutungamira kwaE 1 kwakananga kuq 1 nekuti q 1 haina kunaka.
E 2 = simba remagetsi rinogadzirwa ne q 2 panzvimbo P
Kuenda kwaE2 kuri kure neq2 nekuti q2 yakanaka.

r 1 = daro riri pakati paP na q 1 = x + 1
r 2 = daro riri pakati paP na q 2 = x

Simba remagetsi panzvimbo P rakaenzana ne zero:

Shandisa fomura yeABC:

Daro riri pakati peP neq 2 = x = 0,5 cm.
Poindi P iri 0,5 cm kurudyi rwe q 2 kana 0,25 cm kuruboshwe rwe q 1.
Mhinduro chaiyo ndiC.
15. Teererai kune charges mbiri dziri kure ne pazasi!

Kana simba remagetsi panzvimbo P riri k Q/x 2 , saka kukosha kwa x kuri….
A. 1/3 a
B. 2/3 a
C. a
D. 3/2 a
Chikamu 2a
Kukurukurirana
Zvinozivikanwa kuti:
EP = k Q / x 2
Akabvunzwa: kukosha kwe x
Mhinduro:


Shandisa fomura yeABC:

Mhinduro chaiyo ndiA.
16. Mibvunzo yeBvunzo yeNyika yeSMA/MA Physics U-ZC-2013/2014 Nhamba 27
Tarisa mufananidzo unotevera wepoindi mbiri dziri kupomerwa!
Poindi P iri kupi zvekuti simba remagetsi panzvimbo P rakaenzana ne zero?
(k = 9.109 Nm2.C-2, 1 µC = 10-6 C)
- 1 cm kurudyi rwe q1
- 1 cm kurudyi rwe q2
- ½ cm kurudyi rwe q2
- ½ cm kuruboshwe rwe q1
- ½ cm kurudyi rwe q1
Kukurukurirana
Zvinozivikanwa kuti:
Chaji 1 (q)1) = -9 µC = -9.10-6 Coulomb
Chaji 2 (q)2) = 1 µC = 1.10-6 Coulomb
Daro riri pakati pe q1 uye q2 (r12) = 1 cm
k = zana9 Nm2.C-2
Akabvunzwa: Poindi P iri kupi zvekuti simba remagetsi panzvimbo P rakaenzana ne zero?
Mhinduro:
E1 = simba remagetsi rinogadzirwa ne q1 panzvimbo P
Kutungamira E1 kuna q1 nekuti q1 chiratidzo chekusaratidza
E2 = simba remagetsi rinogadzirwa ne q2 panzvimbo P
Kutungamira E2 gara kure ne q2 nekuti q2 chiratidzo chakanaka
r1 = chinhambwe chiri pakati paP naQ1 = x + 1
r2 = chinhambwe chiri pakati paP naQ2 = x
Simba remagetsi 1:
Simba remagetsi 2:
![]()
Simba remagetsi panzvimbo P rakaenzana ne zero:
a = 8, b = -2, c = -1
Shandisa fomura yeABC:


Kureba pakati peP naQ2 = x = 0,5 cm.
Poindi P iri 0,5 cm kurudyi rwe q2 kana pa 0,25 cm kuruboshwe rwe q1.
Mhinduro chaiyo ndiC.
17. Mibvunzo yeBvunzo yeNyika yeSMA/MA Physics U-ZC-2013/2014 Nhamba 27
Funga nezvemachaja maviri ari kure neanotevera!
Kana simba remagetsi panzvimbo P riri k Q/x2, saka kukosha kwe x ndiko….
- 1/3 kusvika
- 2/3 kusvika
- a
- 3/2 kusvika
- 2a
Kukurukurirana
Zvinozivikanwa kuti:
EP = k Q / x2
Akabvunzwa: kukosha kwe x
Mhinduro:
E1 = simba remagetsi panzvimbo P nekuchaja -Q
r1 = chinhambwe pakati pekuchaja –Q nepoindi P = x
E2 = simba remagetsi panzvimbo P nekuchaja +32Q
r2 = chinhambwe pakati pekuchaja +32Q uye poindi P = a + x
![]()
Shandisa fomura yeABC:

Mhinduro chaiyo ndiA.