1. Barta A waxay ku taal masaafo dhan 5 cm marka loo eego dallacaadda +10 micro Coulombs. Cabbirka iyo jihada goobta korantada ee barta A waa… (k = 9 x 109 Nm2C-2, 1 micro Coulomb = 10-6 C)
Dood
Waa la garanayaa :

La weydiiyay : Cabbirka iyo jihada goobta korantada ee barta A
Jawab :
Jihada goobta korantada ee barta A :
Dareeraha korontadu waa mid togan, sidaa darteed jihada goobta korontadu waa mid ka fog dareeraha korontada oo ka fog barta A.
2. Masaafada u dhaxaysa barta P iyo dallacaadda -20 micro Coulombs waa 10 cm. Go'aami xoogga goobta korantada iyo jihada goobta korontada ee barta P.
Dood
Waa la garanayaa :

La weydiiyay : Cabbirka iyo jihada goobta korantada ee barta P
Jawab :
Jihada goobta korantada ee barta A :
Dareeraha korontadu waa taban, sidaa darteed jihada goobta korontadu waxay u jeeddaa dareeraha korontada waxayna ka fog tahay barta P.
3. Laba dallac koronto ayaa kala fogaada masaafada 40 cm. Xoogga goobta korontada iyo jihada goobta korontada ee barta ku taal bartamaha labada dallac ayaa ah…
Dood
Ka soo qaad in barta ku taal bartamaha labada dacwadood ay tahay barta P.
Waa la garanayaa :
La weydiiyay : baaxadda iyo jihada goobta korontada ee barta ku taal bartamaha labada dallacaad (dhibicda P)
Jawab :
Goobta korantada ee ay soo saarto dallacaadda A barta P :

Dalac A waa taban sidaa darteed jihada goobta korontada waxay u socotaa dalac A (bidixda).
Goobta korantada ee ay soo saarto dallacaadda B ee barta P :
Dalac B waa togan sidaa darteed jihada goobta korontada waxay ka fog tahay dalac B (bidixda).
Goobta korantada ee natiijada ka dhalatay barta A :
EA iyo EB sidaas darteed waxaa la isku daraa isla jihadaas.
E = EA +EB
E = (4,5 x 105) + (9 x 105)
E = 13,5 x 105 N / C
Jihada goobta korontada waxay u socotaa dhanka dallacaadda A iyo dhanka dallacaadda B (dhinaca bidix).
4. Xoogga goobta korontada waa eber meel fog oo ka mid ah…
Dood
Dalacaadda A waa togan, dalacaadda B-na waa togan, sidaa darteed xoogga goobta korontadu waa eber, oo ku yaal bartamaha labada dallac. Bal qiyaas meesha xoogga goobta korontadu yahay eber waa barta P.
Waa la garanayaa :
La weydiiyay : eber xoog oo goobta korontada ah ayaa ku taal meel fog oo ka mid ah…
Jawab :
Goobta korantada ee ay soo saarto dallacaadda A barta P :
Kharash A waa togan sidaa darteed jihada goobta korantada ee uu abuuray kharajka A ee barta P waa ka fog tahay kharajka A (midigta).
Goobta korantada ee ay soo saarto dallacaadda B ee barta P :
Dalac B waa togan sidaa darteed jihada goobta korantada ee uu abuuray dalac B ee barta P waa ka fog tahay dalac B (bidixda).
Goobta korantada ee natiijada ka dhalatay barta P = 0 :
EA iyo EB jihada ka soo horjeeda.
EA - EB = 0
EA =EB
Isticmaal qaacidada ABC si aad u go'aamiso qiimaha a.

Xoogga goobta korantada eber ah wuxuu ku yaal meel 8 cm u jirta dallacaadda A ama 12 cm u jirta dallacaadda B.
5. Masaafada u dhaxaysa laba dallac A iyo B waa 3 mitir. Barta O waxay u dhaxaysaa labada dallac waxayna u jirtaa 2 mitir dallac B. qA = –300 μC iyo qB = 600 μC. k = 9 × 109 N m2 C-2Xoogga goobta korantada ee barta O waxaa saameeya kharashka qA iyo qB waa…
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
Dood:
Waa la garanayaa :
qA = –300 μC, qB = 600 μC, k = k = 9 × 109 N m2 C-2
La weydiiyay :
Waa maxay xoogga goobta korantada (E) ee barta O?
Jawab :

Xoogga goobta ee ka dhashay:
E = EA +EB
E = (2700 x 103 Ma jiro) + (5400 x 103 Ma jiro)
E = 8100 x 103 N / C
E = 81 x 105 N / C
Jawaabta saxda ah waa E.
6. Laba dacwadood midkiiba q1 = -20 μC iyo q2 = -40 μC. Haddii barta P ay tahay 20 cm laga bilaabo q.2 Xoogga goobta korantada ee ka dhalatay waa eber, ka dibna qiimaha x waa…
A. 11 cm
B. 12 cm
C. 13 cm
D. 14 cm
E. 15 cm
Dood:
Waa la garanayaa :
q1 = -20 μC, q2 = -40 μC, r2 = 0,2 m, r1 =x
La weydiiyay :
Masaafada barta P laga bilaabo q1 (x)?
Jawab :

Xoogga goobta korantada ee ka dhalatay waa eber barta P:
Jawaabta saxda ah waa D.
7. TDuck A wuxuu ku yaal bartamaha laba dallacaad oo isku cabbir ah laakiin noocyo kala duwan oo kala fog. Cabbirka xoogga goobta korantada ee barta A waqtigaas waa 36 NC-1Haddii dhibicda A loo wareejiyo ¼ meel u dhow mid ka mid ah dallacyada, markaa baaxadda xoogga goobta korantada ee dhibicda A ka dib marka la wareejiyo waa ....
A. 100 NC-1
B. 96 NC-1
C. 80 NC-1
D. 60 NC-1
E. 16 NC-1
Dood
Waa la ogyahay in :
Kharash 1 (q1) = +Q
Kharash 2 (q2) = -Q
Masaafada u dhaxaysa kharashka 1 iyo dhibicda A (r)1A) = ½ a
Masaafada u dhaxaysa kharashka 2 iyo dhibicda A (r)2A) = ½ a
Xoogga goobta korantada ee barta A (E)A) = 36 NC-1
La weydiiyay : Haddii dhibicda A loo wareejiyo ¼ meel u dhow mid ka mid ah dallacyada, markaa xoogga goobta korantada ee dhibicda A waa…
Jawaab :
Tahap 1.
Si aad u xisaabiso xoogga goobta korantada ee barta A, u qaado in uu jiro dallac tijaabo oo togan meeshaas. Joogitaanka dallac tijaabo oo togan wuxuu saameeyaa jihada goobta korontada.
Goobta korantada ee ay soo saarto kharashka + Q ee barta A :

Dalacaadda tijaabada waa togan tahay, dalacaadda 1aadna waa togan tahay, sidaa darteed jihada goobta korontada waxay u jeeddaa dalacaadda 2aad.
Goobta korantada ee ay soo saarto charge-ka -Q barta A :

Dalacaadda tijaabada waa togan tahay, dalacaadda 2-na waa taban tahay, sidaa darteed jihada goobta korontada waxay u jeeddaa dalacaadda 2-aad.
Goobta korantada ee natiijada ka dhalatay barta A :

Marxaladda 2aad.
Haddii dhibicda A loo wareejiyo meel u dhow dallacaadda 1 markaas:
Masaafada u dhaxaysa kharashka 1 iyo dhibicda A (r)1A) = ¼ a
Masaafada u dhaxaysa kharashka 2 iyo dhibicda A (r)2A) = ¾ a
Goobta korantada ee ay soo saarto kharashka + Q ee barta A :

Dalacaadda tijaabada waa togan tahay, dalacaadda 1aadna waa togan tahay, sidaa darteed jihada goobta korontada waxay u jeeddaa dalacaadda 2aad.
Goobta korantada ee ay soo saarto charge-ka -Q barta A :

Dalacaadda tijaabada waa togan tahay, dalacaadda 2-na waa taban tahay, sidaa darteed jihada goobta korontada waxay u jeeddaa dalacaadda 2-aad.
Goobta korantada ee natiijada ka dhalatay barta A :

Jawaabta saxda ah waa C.
8. Laba walxood midkiiba wuxuu leeyahay kharash qA = 1 μC iyo qB = 4 μC waxaa la dhigaa meel 4 cm u jirta (k = 9 x 109 N m2 C-2) Xoogga goobta korantada ee ku taal bartamaha qA iyo qB waa…
A. 6,75 x 107 NC-1
B. 4,50 x 107 NC-1
C. 4,20 x 107 NC-1
D. 3,60 x 107 NC-1
E. 2,25 x 107 NC-1
Dood
Waa la ogyahay in :
Dalac A (q)A) = 1 μC = 1 x 10-6 C
Dalac B (q)B) = 4 μC = 4 x 10-6 C
k = 9 x 10 9 N m 2 C −2
Masaafada u dhaxaysa khidmadaha A iyo B (r)AB) = 4 cm = 0,04 mitir
Masaafada u dhaxaysa charge A iyo bartamaha barta (r)A) = 0,02 mitir
Masaafada u dhaxaysa charge B iyo barta dhexe (r)B) = 0,02 mitir
La weydiiyay : Xoogga goobta korantada ee bartamaha qA iyo qB waa…
Jawaab :
Si loo xisaabiyo xoogga goobta korantada ee bartamaha qA iyo qB , iyadoo la malaynayo in uu jiro kharash tijaabo oo togan oo ku yaal bartamaha labada kharash. Joogitaanka kharash tijaabo oo togan wuxuu saameeyaa jihada goobta korantada.
Goobta korantada ee ay soo saarto dallacaadda A ee bartamaha :
![]()
Dalacaadda tijaabada waa togan, dalacaadda A-na waa togan, sidaa darteed jihada goobta korontada waxay u jeeddaa dalacaadda B.
Goobta korantada ee ay soo saarto dallacaadda B ee bartamaha :

Dalacaadda tijaabada waa togan tahay, dalacaadda B-na waa togan tahay, sidaa darteed jihada goobta korontada waxay u jeeddaa dalacaadda A.
Goobta korantada ee ka dhalatay barta dhexe :
EA iyo EB jihada ka soo horjeeda.
E = EB - EA = 9x107 - 2,25 x 107 = 6,75x107 NC-1
Jawaabta saxda ah waa A.
9. Fiiri sawirka laba dalac oo hoose! Xaggee bay ku taal barta P si xoogga goobta korantada ee barta P uu ula mid noqdo eber? (k = 9 x 109 Nm2C-2, 1 μC = 10-6 C)

A. midig bartamaha Q1 iyo Q2
B. 6 cm dhanka midig ee Q2
C. 6 cm dhanka bidix ee Q1
D. 2 cm dhanka midig ee Q2
E. 2 cm dhanka bidix ee Q1
Dood
Si aad u xisaabiso xoogga goobta korantada ee barta P, u qaado in ay jirto dallac tijaabo oo togan oo ku yaal barta P. Q1 togan iyo Q2 taban, sidaa darteed dhibicda P waa inay ku taal dhinaca midig ee Q2 ama dhanka bidix ee Q1. Haddii dhibicda P ay bidixda ka tahay Q1; goobta korantada ee ay soo saarto dhibicda Q1 barta P jihada waxay u socotaa bidix (ka fog Q)1) iyo goobta korontada ee Q-da laga soo saaray2 barta P jihada waxay u socotaa dhanka midig (dhinaca Q)1Maadaama jihada garoonka korontadu ay ka soo horjeeddo, labadooduba way isdhaafsadaan si xoogga goobta korontadu ee barta P uu noqdo eber.
Waa la ogyahay in :
Q 1 = +9 μC = +9 x 10 −6 C
Q 2 = -4 μC = -4 x 10 −6 C
k = 9 x 10 9 Nm 2 C −2
Masaafada u dhaxaysa dallacaadda 1 iyo dallacaadda 2 = 3 cm
Masaafada u dhaxaysa Q1 iyo dhibic P (r)1P) = a
Masaafada u dhaxaysa Q2 iyo dhibic P (r)2P) = 3 cm + a
La weydiiyay : Xaggee bay ku taal barta P si xoogga goobta korantada ee barta P uu ula mid noqdo eber?
Jawaab :
Barta P waxay bidixda ka xigtaa Q1.

Goobta korantada ee natiijada ka dhalatay barta A :

Isticmaal qaacidada ABC si aad u go'aamiso qiimaha a.

10. Fiiri sawirka soo socda! Lacag q3 meel fog oo 5 cm u jirta q2, ka dibna xoogga goobta korantada ee dallacaadda q3 waa… (1 µC = 10-6 C)
A. 4,6 x 107 NC-1
B. 3,6 x 107 NC-1
C. 1,6 x 107 NC-1
D. 1,4 x 107 NC-1
E. 1,3 x 107 NC-1
Dood
Kharashka q3 meel fog oo 5 cm u jirta q2, taasoo la micno ah in aan loo jeedin dhanka bidix ee q2 laakiin dhinaca midig q2Haddii dhinaca bidix uu ku yaal q2 markaas goobta korontada ee ka dhalata waa eber. Tani waa sababta oo ah masaafada u dhaxaysa dallacaadaha q3 oo leh kharash q1 iyo q2 waa 5 cm, baaxadda kharashkana waa q1 la mid ah qiimaha q2.
![]()
Sababtoo ah kharashka q3 togan ka dibna jihada garoonka korontada kharashka ku baxaya q3 dhanka qiimaha taban q2 (E2) iyo ka fog qiimaha togan q1 (E1) Goobta korantada ee ka dhalata waa wadarta awoodaha goobta korantada E1 iyo E2.
Waa la ogyahay in :
Kharashka q1 = 5 µC = 5 x 10-6 Coulomb
Kharashka q2 = 5 µC = -5 x 10-6 Coulomb
Masaafada u dhaxaysa khidmadaha q1 iyo kharashka q3 (r1) = 15 cm = 0,15 m = 15 x 10-2 meter
Masaafada u dhaxaysa khidmadaha q2 iyo kharashka q3 (r2) = 5 cm = 0,05 m = 5 x 10-2 meter
k = 9 x 10 9 N m 2 C -2
La weydiiyay Awoodda goobta korantada ee dallacaadda q3
Jawaab :
Xoogga goobta korontada 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
Xoogga goobta korontada 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
Xoogga garoonka korantada ee ka dhashay
Xoogga goobta korantada ee ka dhalatay qiimaha q3 waa:
E = E 2 – E 1 = (1,8 x 10 7 ) – (0,2 x 10 7 ) = 1,6 x 10 7 N/C
Jihada goobta korontada waxay u socotaa dhanka bidix ama dhanka E.2.
Jawaabta saxda ah waa C.
11. Laba dallacaad koronto ayaa loo kala saaray sida ku cad sawirka. Xoogga goobta korantada ee barta P waa… (k = 9 x 109 N m2 C-2)
A. 9,0 x 109 NC-1
B. 4,5 x 109 NC-1
C. 3,6 x 109 NC-1
D. 5,4 x 109 NC-1
E. 4,5 x 109 NC-1
Dood

Waa la ogyahay in :
Kharashka qA = +2,5 C
Kharashka qB = -2 C
Masaafada u dhaxaysa khidmadaha qA iyo dhibic P (r)A) = 5 m
Masaafada u dhaxaysa khidmadaha qB iyo dhibic P (r)B) = 2 m
k = 9 x 10 9 N m 2 C -2
La weydiiyay Xoogga goobta korontada ee barta P
Jawaab :
Xoogga goobta korontada 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
Xoogga goobta korontada B
E B = kq B / r B 2
E B = (9 x 10 9 )(2) / (2) 2
E B = (18 x 10 9 ) / 4
EB = 4,5x109 N / C
Xoogga garoonka korantada ee ka dhashay
Xoogga goobta korantada ee ka dhalatay barta P waa:
E = EB - EA = (4,5 – 0,9) x 109 = 3,6x109 N / C
Jihada goobta korontada waxay u socotaa dhanka bidix ama dhanka E.B.
Jawaabta saxda ah waa C.
12. Laba dallacaad koronto midkiiba wuxuu leeyahay dallac Q1 = -40 µC iyo Q2 = +5 µC waxay ku taal booska sida ku cad sawirka (k = 9 x 109 Nm2.C-2 iyo 1 µC = 10-6 C), xoogga goobta korantada ee barta P waa…
A. 2,25 x 106 NC-1
B. 2,45 x 106 NC-1
C. 5,25 x 106 NC-1
D. 6,75 x 106 NC-1
E. 9,00 x 106 NC-1
Dood

Waa la ogyahay in :
Kharashka q1 = -40 µC = -40 x 10-6 C
Kharashka q2 = +5 µC = +5 x 10-6 C
Masaafada u dhaxaysa khidmadaha q1 iyo dhibic P (r)1) = 40 cm = 0,4 m = 4 x 10-1 m
Masaafada u dhaxaysa khidmadaha q2 iyo dhibic P (r)2) = 10 cm = 0,1 = 1 x 10-1 m
k = 9 x 10 9 N m 2 C -2
La weydiiyay Xoogga goobta korontada ee barta P
Jawaab :
Xoogga goobta korontada 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
Xoogga goobta korontada 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
Xoogga garoonka korantada ee ka dhashay
Xoogga goobta korantada ee ka dhalatay barta P waa:
E = E2 - E1 = (45 – 22,5) x 105 = 22,5x105 N / C
E = 2,25 x 10 6 N/C
Jihada goobta korontadu waxay u jirtaa dhanka midig ama dhanka E.2.
13. Sawirka dacwadda soo socda, kaas oo muujinaya khadadka xoogga ee laba dacwadood oo isku dhow ayaa...

Dood
Xariiqyada goobta korontada, ama khadadka xoogga, waxaa laga soo qaataa dallac togan ilaa dallac taban. Haddii dallac togan iyo mid taban la isku soo dhaweeyo, xarriiqyada xoogga waxay u muuqdaan sida jawaabta A.
Jawaabta saxda ah waa A.
8. Laba dallacaad koronto ayaa la isugu soo dhawaaday xariiq isku xiran, taasoo keentay khadadka goobta korontada. Sawirka saxda ah waa…


Dood
Jawaabta saxda ah waa D.
9. Khadadka saxda ah ee xoogga u dhexeeya laba dacwadood waa…

Dood
Jawaabta saxda ah waa D.
14. Bal eeg sawirka soo socda ee laba dhibcood oo la isku dayay!

Xaggee bay ku taal barta P si xoogga goobta korantada ee barta P uu ula mid noqdo eber?
(k = 9.109 Nm2.C-2, 1 µC = 10-6 C)
A. 1 cm dhanka midig ee q1
B. 1 cm dhanka midig ee q2
C. ½ cm dhanka midig ee q2
D. ½ cm dhanka bidix ee q1
E. ½ cm dhanka midig ee q1
Dood
Waa la ogyahay in:
Kharash 1 (q1) = -9 µC = -9.10-6 Coulomb
Kharash 2 (q2) = 1 µC = 1.10-6 Coulomb
Masaafada u dhaxaysa q1 iyo q2 (r12) = 1cm
k = 9.10 9 Nm 2 .C -2
La weydiiyay: Xaggee bay ku taal barta P si xoogga goobta korantada ee barta P uu ula mid noqdo eber?
Jawaab:
E1 = xoogga goobta korantada ee uu dhaliyo q1 barta P
Jihada E1 dhanka q1 sababtoo ah q1 calaamad taban
E2 = xoogga goobta korantada ee uu dhaliyo q2 barta P
Jihada E2 ka fogow q2 sababtoo ah q2 calaamad togan

r1 = masaafada u dhaxaysa P iyo q1 = x + 1
r2 = masaafada u dhaxaysa P iyo q2 =x

Xoogga goobta korantada ee barta P waxay la mid tahay eber:

Isticmaal qaacidada ABC:

Masaafada u dhaxaysa P iyo q2 = x = 0,5 cm.
Barta P waa 0,5 cm dhanka midig ee q2 ama 0,25 cm dhanka bidix ee q1.
Jawaabta saxda ah waa C.
15 PFiiro gaar ah u yeelo labada dacwadood ee ku yaal meel fog oo hoose!

Haddii xoogga goobta korantada ee barta P uu yahay k Q/x2, markaa qiimaha x waa….
A. 1/3 a
B. 2/3 a
C. a
D. 3/2 a
E. 2a
Dood
Waa la ogyahay in:
EP = k Q / x 2
La weydiiyay: qiimaha x
Jawaab:


Isticmaal qaacidada ABC:

Jawaabta saxda ah waa A.
16. Su'aalaha Imtixaanka Qaranka ee Fiisigiska SMA/MA U-ZC-2013/2014 No. 27
Bal eeg sawirka soo socda ee laba dhibcood oo la isku dayay!
Xaggee bay ku taal barta P si xoogga goobta korantada ee barta P uu ula mid noqdo eber?
(k = 9.109 Nm2.C-2, 1 µC = 10-6 C)
- 1 cm dhanka midig ee q1
- 1 cm dhanka midig ee q2
- ½ cm dhanka midig ee q2
- ½ cm dhanka bidix ee q1
- ½ cm dhanka midig ee q1
Dood
Waa la ogyahay in:
Kharash 1 (q1) = -9 µC = -9.10-6 Coulomb
Kharash 2 (q2) = 1 µC = 1.10-6 Coulomb
Masaafada u dhaxaysa q1 iyo q2 (r12) = 1cm
k = 9.109 Nm2.C-2
La weydiiyay: Xaggee bay ku taal barta P si xoogga goobta korantada ee barta P uu ula mid noqdo eber?
Jawaab:
E1 = xoogga goobta korantada ee uu dhaliyo q1 barta P
Jihada E1 dhanka q1 sababtoo ah q1 calaamad taban
E2 = xoogga goobta korantada ee uu dhaliyo q2 barta P
Jihada E2 ka fogow q2 sababtoo ah q2 calaamad togan
r1 = masaafada u dhaxaysa P iyo q1 = x + 1
r2 = masaafada u dhaxaysa P iyo q2 =x
Xoogga goobta korontada 1:
Xoogga goobta korontada 2:
![]()
Xoogga goobta korantada ee barta P waxay la mid tahay eber:
a = 8, b = -2, c = -1
Isticmaal qaacidada ABC:


Masaafada u dhaxaysa P iyo q2 = x = 0,5 cm.
Barta P waa 0,5 cm dhanka midig ee q2 ama 0,25 cm dhanka bidix ee q1.
Jawaabta saxda ah waa C.
17. Su'aalaha Imtixaanka Qaranka ee Fiisigiska SMA/MA U-ZC-2013/2014 No. 27
Ka fiirso laba kharash oo ku yaal meel fog oo hoos ku yaal!
Haddii xoogga goobta korantada ee barta P uu yahay k Q/x2, markaa qiimaha x waa….
- 1/3 y
- 2/3 y
- a
- 3/2 y
- 2a
Dood
Waa la ogyahay in:
EP = k Q / x2
La weydiiyay: qiimaha x
Jawaab:
E1 = xoogga goobta korantada ee barta P iyadoo loo eegayo dallacaadda -Q
r1 = masaafada u dhaxaysa kharashka –Q iyo barta P = x
E2 = xoogga goobta korantada ee barta P iyadoo la dallacayo +32Q
r2 = masaafada u dhaxaysa kharashka +32Q iyo dhibicda P = a + x
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Isticmaal qaacidada ABC:

Jawaabta saxda ah waa A.