Isibonelo sezinkinga zikagesi ongashintshi

Izibonelo ezingu-20 zemibuzo kagesi ongaguquki

Amandla kagesi

1. Iphuzu A litholakala e- insimu kagesiAmandla ensimu kagesi endaweni A = 0,5 NC^-1Uma into enokushaja kagesi okungu-0,25 C ibekwa endaweni A, khona-ke umsebenzi uzokwenziwa entweni. gaya I-Coulomb likhulu njenge…

A. 0,125 N

B. 0,25 N

C. 0,35 N

D. 0,40 N

E. 0,70 N

Ingxoxo

Kuyaziwa ukuthi:

Amandla kagesi endaweni A = 0,5 NC^-1

Ukushaja kukagesi endaweni A = 0,25 C

Kubuziwe: Amandla e-Coulomb asebenza ezintweni ezishajwe ngogesi

Impendulo:

Ifomula echaza ubudlelwano phakathi kwamandla kagesi (F), insimu kagesi (E) kanye nokushaja kagesi (q) ithi:

F = q E

F = (0,25 C)(0,5 NC^-1)

F = 0,125N

Impendulo efanele ngu-A.

2. Amashaja amabili ka-5 C no-4 C aqhelelene ngamamitha ama-3. Uma u-k = 9 × 10⁹ Nm² C^-2 , khona-ke ubukhulu bamandla e-Coulomb abhekene nala macala amabili...

A. 2 × 10⁹ N

B. 60 × 10⁹ N

C. 2 × 10¹⁰ N

D. 6 × 10¹⁰ N

E. 20 × 10¹⁰ N

Ingxoxo

Kuyaziwa ukuthi:

Ishaja 1 (q)₁) = 5 C

Ishaja 2 (q)₂) = 4 C

Ibanga phakathi kwemithwalo 1 no-2 (r) = amamitha amathathu.

I-coulomb's constant (k) = 9 × 10⁹ Nm² C^-2

Kubuziwe: Ubukhulu bamandla e-Coulomb (F)

Impendulo:

Impendulo efanele ngu-C.

3. Ishaja kagesi +q₁ = 10 μC ; +q₂ = 20 μC; kanye no-q₃ kuhlukaniswe njengoba kusesithombeni esingezansi. Ukuze amandla e-Coulomb asebenze ekushayweni q₂ = zero; bese kuba ishaja u-q₃ kuyinto…

A. +2,5 μC

B. –2,5 μC

C. +25 μC

D. –25 μC

E. +4 μC

Ingxoxo

Kuyaziwa ukuthi:

Ishaja 1 (q)₁) = 10 μC = 10 x 10^-6 C

Ishaja 2 (q)₂) = 20 μC = 20 x 10^-6 C

Kubuziwe: Iyini inkokhelo q?₃ ukuze ibutho le-Coulomb lisebenzele icala q₂ ilingana no-zero (F₂ = 0).

Impendulo:

Kunamandla amabili asebenza ku-+q₂.

Amandla okuqala amandla axoshayo phakathi kwamacala +q₁ futhi ukhokhise +q₂ okungukuthi u-F₁₂ okungakwesokudla.

Ukuze amandla kagesi aphumelayo asebenze ku-q₂ kulingana no-zero bese kuba q₃ kumele ikhokhiswe kabiNgakho-ke amandla esibili ukukhangana phakathi kwamacala e-+q₂ kanye no-q₃ okungukuthi u-F₂₃ okungakwesokunxele. Lawa mandla amabili asebenza ku-q₂, zinobukhulu obufanayo kodwa zinohlangothi oluphambene.

Amandla aphumela ku-+q₂ ilingana no-zero.

Impendulo efanele ingu-B.

4. Amaphuzu A no-B aneshaja kagesi engu-−10 μC kanye no-+40 μC, ngokulandelana. Ekuqaleni la mashaja amabili abekwa eceleni kwamamitha angu-0,5 ukuze kuvele amandla e-Coulomb F Newton. Uma ibanga eliphakathi kuka-A no-B lishintshwa libe amamitha angu-1,5, khona-ke amandla e-Coulomb avelayo...

A. ¹/₉ F

B. ¹/₃ F

C. ³/₂ F

D. 3 F

E. 9 F

Ingxoxo

Qhathanisa ingxoxo yombuzo nombolo 9.

Ibanga eliphakathi kuka-A no-B lishintshwa libe amamitha angu-1,5 noma izikhathi ezintathu zebanga lokuqala.

Amandla alingana ngokuphambene nesikwele sebanga:

Amandla e-Coulomb avelayo yi-1/9 F.

Impendulo efanele ngu-A.

5. Kubekwa uhlelo olunezishaja zamahhala ezintathu ezilinganayo ukuze lulingane njengoba kuboniswe esithombeni. Uma u-Q₃ kushintshwe ngo-1/3 x eduze no-Q₂, bese kuba yisilinganiso sobukhulu bamandla e-Coulomb F₂ : F₁ iba….

A. 1: 3

B. 2: 3

C. 3: 4

D. 9: 1

Isahluko 9: 4

Ingxoxo

I-Diketahui :

Ibanga eliphakathi kuka-q₁ kanye no-q₂ =x

Ibanga eliphakathi kuka-q₂ kanye no-q₃ = 2/3 x

Kubuziwe : F₂ : F₁ = …. ?

Jawab :

Ifomula yomthetho kaCoulomb:

Incazelo: k = okungaguquki, q₁ = ishaja 1, q₂ = ukushaja 2, r = ibanga phakathi kokushaja 1 nokushaja 2

Ukuqhathaniswa kobukhulu bamandla e-Coulomb

q₁, q₂ kanye no-q₃ zilingana ngobukhulu ngakho zisuswa kulesi sibalo. k kanye no-x² nazo zilingana ngobukhulu futhi zingakwesobunxele nangakwesokudla ngakho zisusiwe kulesi sibalo.

Impendulo efanele ngu-E.

6. Bheka isithombe esingezansi. Amashaja kagesi amathathu q₁, q, kanye no-q₂ isemgqeni oqondile. Uma u-q = 5,0 μC kanye no-d = 30 cm, khona-ke ubukhulu kanye nesiqondiso samandla kagesi asebenza ekushajeni u-q… (k = 9 x 10⁹ N m² C^-2)

A. 7,5 N kuya ku-q₁

B. 7,5 N kuya ku-q₂

C. 15 N ubheke ku-q₁

D. 22,5 N kuya ku-q₁

E. 22,5 N kuya ku-q₂

Ingxoxo

Kuyaziwa ukuthi:

Ishaja 1 (q)₁) = 30 μC = 30 x 10^-6 C

Ishaja 2 (q)₂) = 60 μC = 60 x 10^-6 C

Ishaja 3 (q) = 5 μC = 5 x 10^-6 C

Ibanga eliphakathi kuka-q₁ kanye no-q = d

Ibanga eliphakathi kuka-q₂ futhi u-q = 2d

d = 30 cm = 0,3 amamitha

d² = (0,3)² = 0,09

I-coulomb's constant (k) = 9 x 10⁹ N m² C^-2

Kubuziwe: Ubukhulu kanye nesiqondiso samandla kagesi asebenza ngokushaja kagesi

Impendulo:

Kunamandla amabili asebenza ku-q, okungukuthi u-F₁ indlela ingakwesokudla (u-q no-q₁ ishajeke kahle ukuze u-F₁ hlala kude no-q no-q₁) kanye no-F₂ isiqondiso singakwesobunxele (q kanye no-q₂ ishajeke kahle ukuze u-F₂ hlala kude no-q no-q₂). Qala ngokubala u-F₁ kanye no-F₂.

Amandla aphumela:

ΣF = 15 – 7,5 = 7,5

Amandla aphumayo angama-Newton angu-7,5. Isiqondiso sawo sifana nesika-F₁ okungukuthi ngakwesokudla ubheke ku-q₂.

Impendulo efanele ingu-B.

Insimu Kagesi

7. Iphuzu elineshaja u-q lisephuzwini u-P ensimini kagesi ekhiqizwa yishaja (+) ukuze libhekane namandla angu-0,05 N endleleni eya ekushajeni. Uma amandla ensimu ephuzwini u-P engu-2 x 10 ^-2 NC ^-1, khona-ke usayizi kanye nohlobo lwenkokhelo ebangela insimu...

A. 5,0 C, okuhle

B. 5,0 C, okungekuhle

C. 3,0 C, okuhle

D. 2,5 C, okungekuhle

E. 2,5 C, okuhle

Ingxoxo

Kuyaziwa ukuthi:

Amandla kagesi (F) = 0,05 N

Amandla kagesi (E) = 2 x 10 ^-2 NC ^-1 = 0,02 NC ^-1

Kubuziwe: Usayizi kanye nohlobo lwenkokhelo edala insimu

Impendulo:

Ishaja kagesi ibalwa kusetshenziswa ifomula echaza ubudlelwano phakathi kwamandla kagesi (F), insimu kagesi (E) kanye neshaja kagesi (q):

F = q E

q = F / E = 0,05 N / 0,02 NC ^-1 = 2,5 Ama-Coulomb

I-Charge q ibhekana namandla kagesi aqonde ngqo ku-(+) charge edala insimu kagesi, ngakho-ke i-charge q inophawu olubi.

Impendulo efanele ngu-D.

8. Ibanga eliphakathi kwamacala amabili u-A no-B lingama-4 m. Iphuzu C liphakathi kwamacala amabili futhi liyi-1 m ukusuka ku-A. Uma u-Q_A = –300 μC, Q_B = 600 μC. 1/4 π ε₀ = 9 × 10⁹ N m² C^-2 , khona-ke amandla ensimu kagesi endaweni C ngenxa yethonya lamashaja amabili...

A. 9 × 10⁵ I-NC ^-1

B. 18 × 10⁵ I-NC ^-1

C. 33 × 10⁵ I-NC ^-1

D. 45 × 10⁵ I-NC ^-1

E. 54 × 10⁵ I-NC ^-1

Ingxoxo

Kuyaziwa ukuthi:

Ibanga phakathi kwezindleko A kanye no-B (r)_AB) = 4 amamitha

Ibanga eliphakathi kwephuzu C kanye neshaja u-A (r)_AC) = 1 amamitha

Ibanga eliphakathi kwephuzu C kanye neshaja B (r)_BC) = 3 amamitha

Inkokhelo A (q)_A) = –300 μC = -300 x 10^-6 C = -3 x 10^-4 I-Coulomb

Ishaja B (q)_B) = 600 μC = 600 x 10^-6 C = 6 x 10^-4 I-Coulomb

Okungaguquki (k) = 9 × 10⁹ N m² C^-2

Kubuziwe: amandla ensimu kagesi endaweni C

Impendulo:

Insimu kagesi ekhiqizwa yishaja A endaweni C:

Ishaja A ayilungile ngakho-ke isiqondiso sensimu kagesi sibheke ekushajeni A futhi siqhelelene neshaja B (ngakwesobunxele).

Insimu kagesi ekhiqizwa yishaja B endaweni C:

Ishaja B ilungile ngakho-ke indlela insimu kagesi ikude neshaja B futhi ibheke kushaja A (ngakwesobunxele).

Insimu kagesi ephumela endaweni A:

E_A kanye no-E_B ngendlela efanayo ukuze zenezelwe ndawonye.

E = E_A +E_B

E = (27 x 10⁵) + (6 x 10⁵)

E = 33 x 10⁵ Akunjalo

Indlela eya ensimini kagesi ibheke ekushajeni u-A futhi ikude ne-charge u-B (ngakwesobunxele).

Impendulo efanele ngu-C.

9. Inhlayiya yothuli engu-1 milligram ingantanta emoyeni ngenxa yokuba khona kwensimu kagesi eyibambayo. Uma ukushaja kwenhlayiya kungu-0,5 μC futhi ukusheshisa kwamandla adonsela phansi koMhlaba kungu-10 m/s² , thola ubukhulu bamandla kagesi angabamba uthuli.

A. 5 N/C

B. 10 N/C

C. 20 N/C

D. 25 N/C

E. 40 N/C

Ingxoxo

Kuyaziwa ukuthi:

Isisindo sothuli (m) = 1 milligram = 1 x 10^-6 kg

Ishaja yothuli (q) = 0,5 μC = 0,5 x 10^-6 C

Ukusheshisa ngenxa yamandla adonsela phansi (g) = 10 m/s²

Kubuziwe: Insimu kagesi enamandla ebamba uthuli

Impendulo:

Ifomula yesisindo:

w = mg

Incazelo: w = isisindo sothuli, m = isisindo sothuli, g = ukusheshisa ngenxa yamandla adonsela phansi

Amandla adonsela phansi asebenza othulini noma esisindweni sothuli abalwa kusetshenziswa ifomula yesisindo:

w = mg = (1 x 10^-6 kg)(10 m/s²) = 10 x 10^-6 kg m/s² = 10 x10^-6 Newton

Ifomula yamandla kagesi:

E = F/q

Incazelo: E = amandla kagesi, F = amandla kagesi, q = ishaja kagesi

Uthuli luyantanta emoyeni, ngakho amandla avelayo asebenza othulini kumele abe ngu-zero. Amandla adonsela phansi othulini aqondiswa phansi, ngakho amandla kagesi kumele aqondiswe phezulu, futhi ubukhulu bamandla adonsela phansi othulini kumele bulingane nobukhulu bamandla kagesi, ukuze amandla avelayo othulini abe ngu-zero. Ngakho-ke, u-F kufomula yamandla ensimu kagesi angathathelwa indawo ngu-w kufomula yesisindo.

E = F/q = w/q

E = (10 x 10^-6 N) / (0,5 x 10^-6 C)

E = 10 N / 0,5 C

E = 20 N/C

Impendulo efanele ngu-C.

10. Izindleko ezimbili ze-q ngayinye₁ = 32 μC kanye no-q₂ = -214 μC zihlukaniswe yibanga elingu-x komunye nomunye njengoba kuboniswe esithombeni esingenhla. Uma kuphuzu elingu-p elingu-10 cm ukusuka ku-q₂ Amandla kagesi aphumayo ayi-zero. Ngakho ubukhulu buka-x buyi….

A. 20 cm

B. 30 cm

C. 40 cm

D. 50 cm

E. 60 cm

Ingxoxo

Kuyaziwa ukuthi:

Ishaja 1 (Q)₁) = 32 μC

Ishaja 2 (Q)₂) = -214 μC

Ibanga lephuzu u-p kusuka ku-q₁ = x + 10 cm

Ibanga lephuzu u-p kusuka ku-q₂ = 10cm

Kubuziwe: x

Impendulo:

E₁ iyinkambu kagesi ekhiqizwa yi-charge Q₁. Isiqondiso sensimu kagesi sikude ne-Q₁ ngoba u-Q₁ ishajeke kahle. E₂ iyinkambu kagesi ekhiqizwa yi-charge Q₂. Isiqondiso sensimu kagesi sibheke ku-Q₂ ngoba u-Q₂ ikhokhiswe kabi.

Ephuzwini p eliyi-10 cm ukusuka ku-Q₂, amandla ensimu kagesi aphumelayo ayi-zero.

Sebenzisa ifomula ye-ABC:

11. Iphuzu elineshaja u-q lisephuzwini u-P ensimini kagesi edalwe yishaja (+), ngakho-ke lizwa amandla angu-0,05 N. Uma ubukhulu beshaja bungu-+5 × l0^-6 Coulomb, khona-ke ubukhulu bensimu kagesi endaweni P…

A. 2,5 × 10³ NC^-1

B. 3.0 × 10³ NC^-1

C. 4,5 × l0³ NC^-1

D. 8,0 × 10³ NC^-1

E. 10⁴ NC^-1

Ingxoxo

Kuyaziwa ukuthi:

Amandla kagesi (F) = 0,05 Newton

Ishaja kagesi (Q) = +5 × l0^-6 I-Coulomb = 0,000005

Kubuziwe: ubukhulu bensimu kagesi endaweni P

Impendulo:

Ifomula echaza ubudlelwano phakathi kwensimu kagesi, amandla kagesi kanye nokushaja kagesi:

E = F / Q

E = 0,05 Newton / 0,000005 Coulomb

E = 5 Newton / 0,0005 Coulomb

E = 10.000 Newton/Coulomb

E = 10⁴ Akunjalo

E = 10⁴ NC^-1

Impendulo efanele ngu-E.

Umthetho kaCoulomb

12. Kuhlelwe amacala amathathu njengoba kuboniswe esithombeni esingezansi. Amandla e-Coulomb atholakala ngecala B yi …. (k = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C)

A. 09 x 10¹ Ishaja kusuka ku-N kuya ku-C
B. 09 x 10¹ N ukushaja u-A
C. 18 x 10¹ Ishaja kusuka ku-N kuya ku-C
D. 18 x 10¹ N ukushaja u-A
E. 36 x 10¹ Ishaja kusuka ku-N kuya ku-C

Ingxoxo
I-Diketahui :
q_A = 10 µC = 10 x 10^-6 C=10^-5 I-Coulomb
q_B = 10 µC = 10 x 10^-6 = 10^-5 I-Coulomb
q_C = 20 µC = 20 x 10^-6 = 2 x10^-5 I-Coulomb
r_AB = amamitha angu-0,1 = 10^-1 imitha
r_BC = amamitha angu-0,1 = 10^-1 imitha
k = 9x10⁹ Nm²C^-2
Kubuziwe : Amandla e-Coulomb abhekene necala B
Jawab :

Kunezinhlobo ezimbili zamandla kagesi noma amandla kagesi asebenza kushaja B, okungukuthi amandla e-Coulomb aphakathi kwamacala A no-B (F)._AB) kanye namandla e-Coulomb phakathi kwamacala B kanye no-C (F_BC). Amandla e-Coulomb abhekene ne-charge B abangelwa yi-F_AB kanye no-F_BC.

Amandla e-Coulomb phakathi kwezindleko A no-B:
Ishaja A inophawu oluhle kanti ishaja B inophawu oluhle ngakho-ke u-F_AB maqondana necala C.

Amandla e-Coulomb phakathi kwamacala B no-C:
Ishaja B ilungile kanti ishaja C ilungile ukuze u-F_BC maqondana necala u-A.

Amandla e-Coulomb atholakala ngokushaja B:
F_B =F_BC - F_AB = 180 – 90 = 90 N
Ubukhulu bamandla e-Coulomb abhekene ne-charge B (F)_B) yi-90 Newtons. Isiqondiso sika-F_B kufana nesiqondiso F_BC okungukuthi ukukhokhisa u-A.
Impendulo efanele ingu-B.

13. Ubukhulu kanye nesiqondiso samandla e-Coulomb ashaja u-B... (k = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C)

A. 2,5 k Q² r^-2 Ngakwesokunxele
B. 2,5 k Q² r^-2 Ngakwesokudla
C. 2 k Q² r^-2 Ngakwesokunxele
D. 2 k Q² r^-2 Ngakwesokudla
E. 1 k Q² r^-2 Ngakwesokunxele

Ingxoxo
I-Diketahui :
Inkokhelo A (q)_A) = +Q
Ishaja B (q)_B) = -2Q
Ishaja C (q)_C) = -Q
Ibanga phakathi kwezindleko A kanye no-B (r)_AB) =r
Ibanga phakathi kwezindleko B kanye no-C (r)_BC) = 2r
k = 9x10⁹ Nm²C^-2
Kubuziwe : ubukhulu kanye nesiqondiso sebutho laseCoulomb eliseshadini B
Jawab :
Amandla e-Coulomb phakathi kweshaja A kanye neshaja B:
Ishaja A ilungile kanti ishaja B ilungile ngakho isiqondiso singu-F_AB ukukhokhisa u-A
  
Amandla e-Coulomb phakathi kweshaja B kanye neshaja C:
Ishaja B i-negative kanti ishaja C i-negative ngakho-ke isiqondiso sika-F si-_BC ukukhokhisa u-A

Amandla aphumelayo asebenza enkantolo B:
F = F_AB +F_BC  = 2 k Q²/r² + 0,5 k Q²/r² = 2,5 k Q²/r² = 2,5 k Q² r^-2
Isiqondiso samandla e-Coulomb sibheke eshajeni A noma ngakwesobunxele.
Impendulo efanele ngu-A.

Insimu Kagesi
14. Bheka isithombe samaphuzu amabili ashaja ngezansi! Iphi iphuzu P ukuze amandla ensimu kagesi endaweni P alingane no-zero? (k = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C)
A. phakathi no-Q₁ kanye no-Q₂
B. 6 cm ngakwesokudla kwe-Q₂
C. 6 cm ngakwesobunxele se-Q₁
D. 2 cm ngakwesokudla kwe-Q₂
E. 2 cm ngakwesobunxele se-Q₁
Ingxoxo
Ukuze ubale amandla ensimu kagesi endaweni P, cabanga ukuthi kukhona ishaja yokuhlola enhle endaweni P. Q₁ okuhle kanye no-Q₂ okungekuhle, ngakho-ke iphuzu u-P kumele libe ngakwesokudla kuka-Q₂ noma ngakwesobunxele se-Q₁. Uma iphuzu P lingakwesobunxele se-Q₁insimu kagesi ekhiqizwe endaweni ethi Q₁ endaweni ethi P indlela ibheke kwesobunxele (kude no-Q₁) kanye nensimu kagesi ekhiqizwe u-Q₂ ephuzwini P isiqondiso singakwesokudla (sibheke ku-Q)₁). Ngenxa yokuthi isiqondiso sensimu kagesi siphambene, lezi ezimbili ziyakhiphana ukuze amandla ensimu kagesi endaweni P abe yi-zero.
I-Diketahui :
Q₁ = +9 μC = +9 x 10^-6 C
Q₂ = -4 μC = -4 x 10^-6 C
k = 9x10⁹ Nm²C^-2
Ibanga eliphakathi kweshaja 1 neshaja 2 = 3 cm
Ibanga eliphakathi kuka-Q₁ kanye nephuzu P (r_1P) = a
Ibanga eliphakathi kuka-Q₂ kanye nephuzu P (r_2P) = 3 + a
Kubuziwe : Iphi indawo P ukuze amandla ensimu kagesi endaweni P alingane no-zero?
Jawab :
Iphuzu P lingakwesobunxele se-Q₁.
Insimu kagesi ekhiqizwe yi-Q₁ endaweni P :
Inkokhelo yokuhlolwa elungile kanye no-Q₁ okuhle kangangokuthi isiqondiso sensimu kagesi singakwesobunxele.
Insimu kagesi ekhiqizwe yi-Q₂ endaweni P :
Inkokhelo yokuhlolwa elungile kanye no-Q₂ okungekuhle ukuze isiqondiso sensimu kagesi sibe ngakwesokudla.
Insimu kagesi ephumela endaweni A :
E₁ kanye no-E₂ uhlangothi oluphambene.
E₁ - E₂ = 0
E₁ =E₂
Sebenzisa ifomula ye-ABC ukuthola inani lika-a.
a = -1,25, b = -13,5, c = -20,25
Akunakuba yinto engemihle.
Ibanga eliphakathi kuka-Q₂ kanye nephuzu P (r_2P) = 3 + a = 3 – 1,8 = 1,2 cm.
Iphuzu P lisebangeni elingu-1,2 cm ngakwesokudla kwe-Q.₂.

15. Bheka isithombe esilandelayo! Shaja q₃ ibekwe ebangeni elingama-5 cm ukusuka ku-q₂, bese kuthi amandla ensimu kagesi ashajwayo q₃ kuyinto… (1 µC = 10^-6 C)

A. 4,6 x 10⁷ I-NC^-1
B. 3,6 x 10⁷ I-NC^-1
C. 1,6 x 10⁷ I-NC^-1
D. 1,4 x 10⁷ I-NC^-1
E. 1,3 x 10⁷ I-NC^-1

Ingxoxo

Inkokhelo q₃ ibekwe ebangeni elingama-5 cm ukusuka ku-q₂, okusho ukuthi akusikho ngakwesobunxele sika-q₂ kodwa ohlangothini lwesokudla u-q₂Uma ohlangothini lwesobunxele u-q₂ khona-ke insimu kagesi ephumelayo ingu-zero. Lokhu kungenxa yokuthi ibanga eliphakathi kwamanani q₃ ngenkokhelo q₁ kanye no-q₂ ingu-5 cm kanti ubukhulu beshaja ngu-q₁ ilingana nenkokhelo q₂.

Ngoba inkokhelo q₃ isiqondiso esihle bese kuba insimu kagesi kushajwa u-q₃ maqondana nenkokhelo engemihle q₂ (E₂) futhi kude ne-positive charge q₁ (E₁). Insimu kagesi ephumelayo iyisamba samandla ensimu kagesi u-E₁ kanye no-E₂.

I-Diketahui :
Inkokhelo q₁ = 5 µC = 5 x 10^-6 I-Coulomb
Inkokhelo q₂ = 5 µC = -5 x 10^-6 I-Coulomb
Ibanga phakathi kwamacala q₁ futhi ukhokhise u-q₃ (r₁) = 15 cm = 0,15 m = 15 x 10^-2 imitha
Ibanga phakathi kwamacala q₂ futhi ukhokhise u-q₃ (r₂) = 5 cm = 0,05 m = 5 x 10^-2 imitha
k = 9x10⁹ N m² C^-2
Kubuziwe : Amandla kagesi kushajwa u-q₃
Jawab :

Amandla kagesi 1
E₁ = kq₁ /r₁²
E₁ = (9 x 10⁹)(5 x 10^-6) / (15 x 10^-2)²
E₁ = (45 x 10³) / (225 x 10^-4)
E₁ = 0,2 x10⁷ Akunjalo
Amandla kagesi 2
E₂ = kq₂ /r₂²
E₂ = (9 x 10⁹)(5 x 10^-6) / (5 x 10^-2)²
E₂ = (45 x 10³) / (25 x 10^-4)
E₂ = 1,8 x10⁷ Akunjalo
Amandla kagesi aphumelayo
Amandla kagesi aphumayo uma eshaja q₃ ngu:
E = E₂ - E₁ = (1,8 x 10⁷)– (0,2 x 10⁷) = 1,6 x 10⁷ Akunjalo
Isiqondiso sensimu kagesi singakwesobunxele noma sibheke ku-E₂.
Impendulo efanele ngu-C.

16. Kuhlukaniswe amashaja amabili kagesi njengoba kuboniswe esithombeni. Amandla ensimu endaweni P angu… (k = 9 x 10⁹ N m² C^-2)

A. 9,0 x 10⁹ I-NC^-1
B. 4,5 x 10⁹ I-NC^-1
C. 3,6 x 10⁹ I-NC^-1
D. 5,4 x 10⁹ I-NC^-1
E. 4,5 x 10⁹ I-NC^-1

Ingxoxo

I-Diketahui :
Inkokhelo q_A = +2,5 C
Inkokhelo q_B = -2 C
Ibanga phakathi kwamacala q_A kanye nephuzu P (r_A= 5m
Ibanga phakathi kwamacala q_B kanye nephuzu P (r_B= 2m
k = 9x10⁹ N m² C^-2
Kubuziwe : Amandla kagesi endaweni P
Jawab :
Amandla kagesi ensimu A
E_A = kq_A /r_A²
E_A = (9 x 10⁹)(2,5) / (5)²
E_A = (22,5 x 10⁹) / 25
E_A = 0,9 x10⁹ Akunjalo
Amandla kagesi ensimu B
E_B = kq_B /r_B²
E_B = (9 x 10⁹)(2) / (2)²
E_B = (18 x 10⁹) / 4
E_B = 4,5 x10⁹ Akunjalo
Amandla kagesi aphumelayo
Amandla kagesi aphumela endaweni ethi P yilawa:
E = E_B - E_A = (4,5 – 0,9) x 10⁹ = 3,6 x10⁹ Akunjalo
Isiqondiso sensimu kagesi singakwesobunxele noma sibheke ku-E_B.
Impendulo efanele ngu-C.

17. Ishaja ezimbili zikagesi ngayinye ineshaja Q.₁ = -40 µC kanye no-Q₂ = +5 µC itholakala endaweni njengoba kuboniswe esithombeni (k = 9 x 10⁹ I-Nm².C^-2 kanye no-1 µC = 10^-6 C), amandla ensimu kagesi endaweni P…
A. 2,25 x 10⁶ I-NC^-1
B. 2,45 x 10⁶ I-NC^-1
C. 5,25 x 10⁶ I-NC^-1
D. 6,75 x 10⁶ I-NC^-1
E. 9,00 x 10⁶ I-NC^-1
Ingxoxo

I-Diketahui :
Inkokhelo q₁ = -40 µC = -40 x 10^-6 C
Inkokhelo q₂ = +5 µC = +5 x 10^-6 C
Ibanga phakathi kwamacala q₁ kanye nephuzu P (r₁) = 40 cm = 0,4 m = 4 x 10^-1 m
Ibanga phakathi kwamacala q₂ kanye nephuzu P (r₂) = 10 cm = 0,1 = 1 x 10^-1 m
k = 9x10⁹ N m² C^-2
Kubuziwe : Amandla kagesi endaweni P
Jawab :
Amandla kagesi 1
E₁ = kq₁ /r₁²
E₁ = (9 x 10⁹)(40 x 10^-6) / (4 x 10^-1)²
E₁ = (360 x 10³) / (16 x 10^-2)
E₁ = 22,5 x10⁵ Akunjalo
Amandla kagesi 2
E₂ = kq₂ /r₂²
E₂ = (9 x 10⁹)(5 x 10^-6) / (1 x 10^-1)²
E₂ = (45 x 10³) / 1 x 10^-2
E₂ = 45 x10⁵ Akunjalo
Amandla kagesi aphumelayo
Amandla kagesi aphumela endaweni ethi P yilawa:
E = E₂ - E₁ = (45 – 22,5) x 10⁵ = 22,5 x10⁵ Akunjalo
E = 2,25 x 10⁶ Akunjalo
Isiqondiso sensimu kagesi singakwesokudla noma sibheke ku-E₂.
Impendulo efanele ngu-A.

18. Amashaja kagesi amabili abekwe ngokwehlukana njengoba kuboniswe esithombeni. Ishaja ku-A ingu-8 µC kanti amandla akhangayo asebenza kuzo zombili lezi shaja angu-45 N. Uma ishaja u-A ishintshwa iye kwesokudla ngo-1 cm kanye no-k = 9.10⁹ Nm².C^-2, khona-ke amandla akhangayo asebenza kula macala amabili...

A. 45 N
B. 60 N
C. 80 N
D. 90 N
E. 120 N

Ingxoxo
I-Diketahui :
Ishaja kagesi ku-A (q)_A) = 8 µC = 8 x 10^-6 I-Coulomb
Amandla kagesi phakathi kwamacala amabili (F) = 45 Newton
Ibanga phakathi kwamacala amabili (r)_AB) = 4 cm = 0,04 amamitha = 4 x 10^-2 imitha
Okungaguquki (k) = 9 x 10⁹ Nm².C^-2
Kubuziwe : Amandla kagesi phakathi kwamacala amabili uma ishaja u-A ishintshelwa kwesokudla ngo-1 cm noma amamitha angu-0,01
Jawab :

Okokuqala bala ishaja kagesi ku-B, bese ubala amandla kagesi phakathi kwamacala amabili kagesi, uma ishaja kagesi ku-A ishintshelwa kwesokudla ngo-1 cm.
Ukushaja kukagesi ku-B :
Ifomula yomthetho kaCoulomb :
F = k (q)_A)(q_B) /r²
Fr² = k (q_A)(q_B)
q_B = Fr² / k (q_A)
Ukushaja kukagesi ku-B :
q_B = (45)(4 x 10^-2)² / (9x10⁹)(8 x 10^-6)
q_B = (45)(16 x 10^-4) / 72 x 10³
q_B = (720 x 10^-4) / (72 x 10³)
q_B = 10 x10^-7 I-Coulomb
Amandla kagesi phakathi kwamacala kagesi u-A no-B :
Uma ukushaja ku-A kushintshwa ngakwesokudla ngo-1 cm, ibanga eliphakathi kwala mashaja amabili liba ngu-3 cm = 0,03 amamitha = 3 x 10^-2 imitha
F = k (q)_A)(q_B) /r²
F = (9 x 10⁹)(8 x 10^-6)(10 x 10^-7) / (3 x 10^-2)²
F = (9 x 10⁹)(80 x 10^-13) / (9 x 10^-4)
F = (1 x 10⁹)(80 x 10^-13) / (1 x 10^-4)
F = (80 x 10^-4) / (1 x 10^-4)
F = 80 Newton
Impendulo efanele ngu-C.

19. Amashaja kagesi amabili u-P no-Q aqhelelene ngamasentimitha ayi-10 athola amandla akhangayo angu-8 N. Uma ishaja u-Q ishintshwa ngamasentimitha ayi-5 iye kushaja u-P (1 µC = 10^-6 C kanye no-k = 9 x 10⁹ Nm².C^-2), khona-ke amandla kagesi akhona...

A. 8 N
B. 16 N
C. 32 N
D. 40 N
E. 56 N

Ingxoxo
I-Diketahui :
Ibanga phakathi kwezindleko P kanye no-Q (r)_PQ) = 10 cm = 0,1 m = 1 x 10^-1 m
Amandla kagesi phakathi kwamacala P kanye no-Q (F) = 8 N
Ishaja kagesi Q (q)_Q) = 40 µC = 40 x 10^-6 C
Okungaguquki (k) = 9 x 10⁹ Nm².C^-2
Kubuziwe : Amandla kagesi phakathi kwamashaja u-P no-Q uma ishaja u-Q ishintshelwa ku-5 cm iye kushaja u-P
Jawab :
Okokuqala bala ishaja kagesi P, bese ubala amandla kagesi phakathi kwamacala amabili kagesi, uma ishaja kagesi Q ishintshelwe ku-5 cm iye kushaja P.
Ishaja kagesi P :
q_P = Fr² / k (q_Q)
q_P = (8)(1 x 10^-1)² / (9x10⁹)(40 x 10^-6)
q_P = (8)(1 x 10^-2) / 360 x 10³
q_P = (8 x 10^-2) / (36 x 10⁴)
q_P = (1 x 10^-2) / (4,5 x 10⁴)
q_P = (1/4,5) x 10^-6 I-Coulomb
Amandla kagesi phakathi kwamacala kagesi u-P no-Q :
Uma ukushaja ku-Q kushintshelwa kwesobunxele ngo-5 cm, ibanga eliphakathi kwala mashaja amabili liba ngu-5 cm = 0,05 amamitha = 5 x 10^-2 imitha
F = k (q)_P)(q_Q) /r²
F = (9 x 10⁹)((1/4,5) x 10^-6)(40 x 10^-6) / (5 x 10^-2)²
F = (2 x 10³)(40 x 10^-6) / (25 x 10^-4)
F = (80 x 10^-3) / (25 x 10^-4)
F = 3,2 x 10¹
F = 32 Newton
Impendulo efanele ngu-C.

20. Bheka isithombe esilandelayo sokushaja kagesi. Amandla kagesi atholakala ngokushaja u-q_B ingu-8 N (1 µC = 10^-6 C) kanye (k = 9.10⁹ I-Nm².C^-2Uma inkokhelo q_B ishintshelwe ku-4 cm ukusuka ku-A, khona-ke amandla kagesi abhekene nawo angu-q_B manje...
A. 2 N
B. 4 N
C. 6 N
D. 8 N
E. 10 N
Ingxoxo
I-Diketahui :
Ibanga phakathi kwezindleko A kanye no-B (r)_AB) = 2 cm = 0,02 m = 2 x 10^-2 m
Amandla kagesi phakathi kwamacala u-A no-B (F) = 8 N
Ishaja kagesi A (q)_A) = 2 µC = 2 x 10^-6 C
Okungaguquki (k) = 9 x 10⁹ Nm².C^-2
Kubuziwe : Amandla kagesi phakathi kwamashaji A no-B uma ibanga phakathi kwamashaji amabili lingu-4 cm
Jawab :
Okokuqala bala ishaja kagesi B, bese ubala amandla kagesi phakathi kwamacala amabili kagesi uma ibanga phakathi kwamacala amabili kagesi lingu-4 cm = 0,04 amamitha = 4 x 10^-2 imitha.
Ishaja kagesi B :
q_B = Fr² / k (q_A)
q_B = (8)(2 x 10^-2)² / (9x10⁹)(2 x 10^-6)
q_B = (8)(4 x 10^-4)/ (18 x 10³)
q_B = (32 x 10^-4) / (18 x 10³)
q_B = (32/18) x 10^-7
q_B = (16/9) x 10^-7 I-Coulomb
Amandla kagesi phakathi kwezindleko A no-B :
F = k (q)_A)(q_B) /r²
F = (9 x 10⁹)(2 x 10^-6)((16/9) x 10^-7) / (4 x 10^-2)²
F = (18 x 10³)((16/9) x 10^-7) / (16 x 10^-4)
F = (2 x 10³)(16 x 10^-7) / (16 x 10^-4)
F = (2 x 10³)(1 x 10^-7) / (1 x 10^-4)
F = (2 x 10^-4) / (1 x 10^-4)
F = 2 Newton
Impendulo efanele ngu-A.

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