Mafunso a Chitsanzo cha Coulomb Force

Zitsanzo 9 za Mafunso a Coulomb Force

1. Katundu atatu akonzedwa monga momwe zilili pachithunzi chili pansipa. Mphamvu ya Coulomb yomwe imapezeka ndi mphamvu B ndi .... (k = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C)

A. 09 x 10¹ Ndalama ya N mpaka C

B. 09 x 10¹ N mpaka katundu A

C. 18 x 10¹ Ndalama ya N mpaka C

D. 18 x 10¹ N kuti mulipire A

E. 36 x 10¹ Ndalama ya N mpaka C

Zokambirana

Ndizodziwika kuti :

q_A = 10 µC = 10 x 10^-6 C=10^-5 Coulomb

q_B = 10 µC = 10 x 10^-6 = 10^-5 Coulomb

q_C = 20 µC = 20 x 10^-6 = 2x10 pa^-5 Coulomb

r_AB = mamita 0,1 = 10^-1 mita

r_BC = mamita 0,1 = 10^-1 mita

k = 9 x 10⁹ Nm²C^-2

Anafunsa Mphamvu ya Coulomb yomwe imadziwika ndi mlandu B

Yankhani :

Pali ziwiri Mphamvu ya Coulomb kapena mphamvu yamagetsi yomwe imagwira ntchito pa chaji B, yomwe ndi mphamvu ya Coulomb pakati pa chaji A ndi B (F_AB) komanso mphamvu ya Coulomb pakati pa milandu B ndi C (F_BCMphamvu ya Coulomb yomwe imapezeka ndi gulu lankhondo B ndi zotsatira za F_AB ndi F_BC.

Mphamvu ya Coulomb pakati pa milandu A ndi B:

Chaji A ili ndi chizindikiro chabwino ndipo chaji B ili ndi chizindikiro chabwino kotero F_AB ku mlandu C.

Mphamvu ya Coulomb pakati pa milandu B ndi C:

Chaji B ndi chabwino ndipo chaji C ndi chabwino kotero kuti F_BC kwa mlandu A.

Mphamvu ya Coulomb yomwe imapezeka ndi mlandu B:

F_B =F_BC - F_AB = 180-90 = 90 N

Kukula kwa mphamvu ya Coulomb yomwe idakumana ndi mlandu B (F)_B) ndi 90 Newtons. Kuwongolera kwa F_B chimodzimodzi ndi malangizo F_BC makamaka kwa mlandu A.

Yankho lolondola ndi B.

2.BKukula ndi komwe gulu lankhondo la Coulomb likuyang'anira B ndi... (k = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C)

A. 2,5 k Q² r^-2 Kumanzere

B. 2,5 k Q² r^-2 Kumanja

C. 2 k Q² r^-2 Kumanzere

D. 2 k Q² r^-2 Kumanja

E. 1 k Q² r^-2 Kumanzere

Zokambirana

Ndizodziwika kuti :

Ndalama A (q)_A) = +Q

Cholipiritsa B (q)_B) = -2Q

Cholipiritsa C (q)_C) = -Q

Mtunda pakati pa zolipiritsa A ndi B (r)_AB) =r

Mtunda pakati pa zolipiritsa B ndi C (r)_BC) = 2r

k = 9 x 10⁹ Nm²C^-2

Anafunsa : kukula ndi malangizo a gulu lankhondo la Coulomb lomwe lili pa udindo B

Yankhani :

Mphamvu ya Coulomb pakati pa cholipiritsa A ndi cholipiritsa B:

Chaji A ndi yabwino ndipo chaji B ndi yoipa kotero njira yake ndi F_AB ku mlandu A

Mphamvu ya Coulomb pakati pa cholipiritsa B ndi cholipiritsa C:

Chaji B ndi yoipa ndipo chaji C ndi yoipa kotero njira ya F ndi_BC ku mlandu A

Gulu lotsatira lomwe likugwira ntchito pa udindo 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

Kulunjika kwa gulu lankhondo la Coulomb kuli kumanja kapena kumanzere.

Yankho lolondola ndi A.

3. Ma charge awiri amagetsi ayikidwa padera monga momwe chithunzichi chikusonyezera. Ma charge pa A ndi 8 µC ndipo mphamvu yokoka yomwe imagwira ntchito pa ma charge onsewa ndi 45 N. Ngati charge A yasunthidwa kumanja ndi 1 cm ndipo k = 9.10⁹ Nm².C^-2, ndiye mphamvu yokoka yomwe ikugwira ntchito pa milandu iwiriyi ndi...

A. 45 N

B. 60 N

C. 80 N

D. 90 N

E. 120 N

Zokambirana

Ndizodziwika kuti :

Mphamvu yamagetsi pa A (q)_A) = 8 µC = 8 x 10^-6 Coulomb

Mphamvu yamagetsi pakati pa ma charge awiri (F) = 45 Newton

Mtunda pakati pa ma chaji awiri (r_AB) = 4 cm = 0,04 mamita = 4 x 10^-2 mita

Chokhazikika (k) = 9 x 10⁹ Nm².C^-2

Anafunsa Mphamvu yamagetsi pakati pa ma chaji awiriwa ngati chaji A yasunthidwa kumanja ndi 1 cm kapena 0,01 metres

Yankhani :

Choyamba werengerani mphamvu yamagetsi pa B, kenako werengerani mphamvu yamagetsi pakati pa mphamvu ziwiri zamagetsi, ngati mphamvu yamagetsi pa A yasunthidwa kumanja ndi 1 cm.

Chaji yamagetsi pa B :

Fomula Lamulo la Coulomb :

F = k (q_A)(q_B) /r²

Fr² = k (q_A)(q_B)

q_B = Fr² / k (q_A)

Chaji yamagetsi pa B :

q_B = (45)(4 x 10^-2)² / (9 x 10⁹)(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 = 10x10 pa^-7 Coulomb

Mphamvu yamagetsi pakati pa ma chaji amagetsi A ndi B :

Ngati mphamvu pa A yasunthidwa kumanja ndi 1 cm, mtunda pakati pa mphamvu ziwiri umakhala 3 cm = 0,03 mita = 3 x 10^-2 mita

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

Yankho lolondola ndi C.

4. Ma chaji awiri amagetsi P ndi Q omwe ali pamtunda wa 10 cm amakumana ndi mphamvu yokoka ya 8 N. Ngati chaji Q yasunthidwa 5 cm kupita ku chaji P (1 µC = 10^-6 C ndi k = 9 x 10⁹ Nm².C^-2), ndiye mphamvu yamagetsi yomwe imachitika ndi...

A. 8 N

B. 16 N

C. 32 N

D. 40 N

E. 56 N

Zokambirana

Ndizodziwika kuti :

Mtunda pakati pa zolipiritsa P ndi Q (r)_PQ) = 10 cm = 0,1 m = 1 x 10^-1 m

Mphamvu yamagetsi pakati pa ma chaji P ndi Q (F) = 8 N

Chaji yamagetsi Q (q)_Q) = 40 µC = 40 x 10^-6 C

Chokhazikika (k) = 9 x 10⁹ Nm².C^-2

Anafunsa Mphamvu yamagetsi pakati pa ma chaji P ndi Q ngati chaji Q yasunthidwa 5 cm kupita ku chaji P

Yankhani :

Choyamba werengani mphamvu yamagetsi P, kenako werengani mphamvu yamagetsi pakati pa mphamvu ziwiri zamagetsi, ngati mphamvu yamagetsi Q yasunthidwa 5 cm kupita ku mphamvu yamagetsi P.

Chaja yamagetsi P :

q_P = Fr² / k (q_Q)

q_P = (8)(1 x 10^-1)² / (9 x 10⁹)(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 Coulomb

Mphamvu yamagetsi pakati pa ma chaji amagetsi P ndi Q :

Ngati mphamvu pa Q yasunthidwa kumanzere ndi 5 cm, mtunda pakati pa mphamvu ziwiri umakhala 5 cm = 0,05 metres = 5 x 10^-2 mita

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

Yankho lolondola ndi C.

5. Yang'anani chithunzi chotsatira cha mphamvu yamagetsi. Mphamvu yamagetsi yomwe imapezeka ndi mphamvu yamagetsi q_B ndi 8 N (1 µC = 10^-6 C) ndi (k = 9.10⁹ Nm².C^-2Ngati mtengo q_B ikasunthidwa kufika pa 4 cm kuchokera ku A, ndiye kuti mphamvu yamagetsi yomwe imapezeka ndi q_B tsopano ndi…

A. 2 N

B. 4 N

C. 6 N

D. 8 N

E. 10 N

Zokambirana

Ndizodziwika kuti :

Mtunda pakati pa zolipiritsa A ndi B (r)_AB) = 2 cm = 0,02 m = 2 x 10^-2 m

Mphamvu yamagetsi pakati pa ma chaji A ndi B (F) = 8 N

Chaji yamagetsi A (q)_A) = 2 µC = 2 x 10^-6 C

Chokhazikika (k) = 9 x 10⁹ Nm².C^-2

Anafunsa Mphamvu yamagetsi pakati pa machaji A ndi B ngati mtunda pakati pa machaji awiriwa ndi 4 cm

Yankhani :

Choyamba werengani mphamvu yamagetsi B, kenako werengani mphamvu yamagetsi pakati pa mphamvu ziwiri zamagetsi ngati mtunda pakati pa mphamvu ziwiri zamagetsi ndi 4 cm = 0,04 mita = 4 x 10^-2 mita.

Chaja yamagetsi B :

q_B = Fr² / k (q_A)

q_B = (8)(2 x 10^-2)² / (9 x 10⁹)(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 Coulomb

Mphamvu yamagetsi pakati pa ma chaji A ndi 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

Yankho lolondola ndi A.

6. Ma charge atatu amagetsi ali pakona pa ABC, kutalika kwa mbali AB = BC = 20 cm ndipo kukula kwa charge ndi kofanana (q = 2µC) monga momwe zilili pachithunzi cha mbali (k = 9.10).⁹ Nm².C^-2, 1 µ = 10^-6). Mphamvu yamagetsi yomwe ikugwira ntchito pa mfundo B ndi….

A. 0,9√3 N

B. 0,9√2 N

C. 0,9 N

D. 0,81 N

E. 0,4 N

Zokambirana

Amadziwika kuti:

Ndalama pa mfundo A (q)_A) = 2 µC = 2 x 10^-6 Coulomb

Kulipira pa mfundo B (q)_B) = 2 µC = 2 x 10^-6 Coulomb

Mtengo pa mfundo C (q)_C) = 2 µC = 2 x 10^-6 Coulomb

Mtunda kuchokera ku B kupita ku C (r)_BC) = 20 cm = 0,2 mamita = 2 x 10^-1 mita

Mtunda kuchokera ku B kupita ku A (r)_BA) = 20 cm = 0,2 mamita = 2 x 10^-1 mita

k = 9.10 ndi⁹ Nm².C^-2

Anafunsa kuti: Kukula kwa mphamvu yamagetsi yomwe ikugwira ntchito pa mfundo B

Yankho:

Mphamvu yamagetsi pakati pa ma charges pa mfundo B ndi C:

F_BC = k (q_B)(q_C) /r_BC²

F_BC = (9 x 10⁹)(2 x 10^-6)(2 x 10^-6) / (2 x 10^-1)²

F_BC = (9 x 10⁹)(4 x 10^-12) / (4 x 10^-2)

F_BC = (36 x 10^-3) / (4 x 10^-2)

F_BC = 9x10 pa^-1

F_BC = 0,9 Newton

Mphamvu yamagetsi pa mfundo B ndi C ndi yabwino, motero mphamvu yamagetsi F imayang'ana mbali yake_BC kumanzere, kutali ndi malo C.

Mphamvu yamagetsi pakati pa ma charges pa mfundo B ndi A:

F_BA = k (q_B)(q_A) /r_BA²

F_BA = (9 x 10⁹)(2 x 10^-6)(2 x 10^-6) / (2 x 10^-1)²

F_BA = (9 x 10⁹)(4 x 10^-12) / (4 x 10^-2)

F_BA = (36 x 10^-3) / (4 x 10^-2)

F_BA = 9x10 pa^-1

F_BA = 0,9 Newton

Mphamvu yamagetsi pa mfundo B ndi A ndi yabwino, motero mphamvu yamagetsi F imayang'ana mbali yake_BA pansi, kutali ndi malo A.

Mphamvu ziwiri zamagetsi zimapanga ngodya yakumanja, motero mphamvu zamagetsi zomwe zimagwira ntchito pa mfundo B zimawerengedwa pogwiritsa ntchito njira ya Pythagorean.

Yankho lolondola ndi B.

7. Yang'anani chithunzi chotsatirachi!

Madandaulo atatu Q₁,Q₂, ndi Q₃ Ili kumapeto kwa kansalu kakumanja ABC. Kutalika kwa AB = BC = 30 cm. Amadziwika kuti k = 9.10⁹ Nm².C^-2 ndipo 1 µ = 10^-6 kenako gulu la Coulomb lomwe linatsatira Q linabwera₁ ndi….

A. 1 N

B. 5 N

C. 7 N

D. 10 N

E. 12 N

Zokambirana

Amadziwika kuti:

Ndalama pa mfundo A (q)_A) = 3 µC = 3 x 10^-6 Coulomb

Kulipira pa mfundo B (q)_B) = -10 µC = -10 x 10^-6 Coulomb

Mtengo pa mfundo C (q)_C) = 4 µC = 4 x 10^-6 Coulomb

Mtunda kuchokera ku B kupita ku C (r)_BC) = 30 cm = 0,3 mamita = 3 x 10^-1 mita

Mtunda kuchokera ku B kupita ku A (r)_BA) = 30 cm = 0,3 mamita = 3 x 10^-1 mita

k = 9.10 ndi⁹ Nm².C^-2

Anafunsa kuti: Mphamvu ya Coulomb yotsatira pa mfundo B

Yankho:

Mphamvu yamagetsi pakati pa ma charges pa mfundo B ndi C:

F_BC = k (q_B)(q_C) /r_BC²

F_BC = (9 x 10⁹)(10 x 10^-6)(4 x 10^-6) / (3 x 10^-1)²

F_BC = (9 x 10⁹)(40 x 10^-12) / (9 x 10^-2)

F_BC = (360 x 10^-3) / (9 x 10^-2)

F_BC = 40x10 pa^-1

F_BC = 4 Newton

Mphamvu yamagetsi pa mfundo B ndi yoipa ndipo mphamvu yamagetsi pa mfundo C ndi yabwino, motero mphamvu yamagetsi F ndi yolunjika._BC kumanja kupita ku mfundo C.

Mphamvu yamagetsi pakati pa ma charges pa mfundo B ndi A:

F_BA = k (q_B)(q_A) /r_BA²

F_BA = (9 x 10⁹)(10 x 10^-6)(3 x 10^-6) / (3 x 10^-1)²

F_BA = (9 x 10⁹)(30 x 10^-12) / (9 x 10^-2)

F_BA = (270 x 10^-3) / (9 x 10^-2)

F_BA = 30x10 pa^-1

F_BA = 3 Newton

Mphamvu yamagetsi pa mfundo B ndi yoipa ndipo mphamvu yamagetsi pa mfundo A ndi yabwino, motero mphamvu yamagetsi F imayang'ana mbali yake._BA mpaka kufika pa mfundo A.

Mphamvu ziwiri zamagetsi zimapanga ngodya yakumanja, motero mphamvu zamagetsi zomwe zimagwira ntchito pa mfundo B zimawerengedwa pogwiritsa ntchito njira ya Pythagorean.

Yankho lolondola ndi B.

8. Ma charge atatu amagetsi ali pamakona a ABC, kutalika kwa mbali AB = BC = 20 cm ndi kukula komweko kwa charge (q = 2µC) monga momwe zilili pachithunzi cha mbali (k = 9.10).⁹ Nm².C^-2, 1 µ = 10^-6). Kukula kwa mphamvu yamagetsi kugwira ntchito pa mfundo B ndi….

1. 0,9√3 N
2. 0,9√2 N
3. 0,9 N
4. 0,81 N
5. 0,4 N

Zokambirana

Amadziwika kuti:
Ndalama pa mfundo A (q)_A) = 2 µC = 2 x 10^-6 Coulomb
Kulipira pa mfundo B (q)_B) = 2 µC = 2 x 10^-6 Coulomb
Mtengo pa mfundo C (q)_C) = 2 µC = 2 x 10^-6 Coulomb
Mtunda kuchokera ku B kupita ku C (r)_BC) = 20 cm = 0,2 mamita = 2 x 10^-1 mita
Mtunda kuchokera ku B kupita ku A (r)_BA) = 20 cm = 0,2 mamita = 2 x 10^-1 mita
k = 9.10 ndi⁹ Nm².C^-2
Anafunsa kuti: Kukula kwa mphamvu yamagetsi yomwe ikugwira ntchito pa mfundo B
Yankho:

Mphamvu yamagetsi pakati pa ma charges pa mfundo B ndi C:
F_BC = k (q_B)(q_C) /r_BC²
F_BC = (9 x 10⁹)(2 x 10^-6)(2 x 10^-6) / (2 x 10^-1)²
F_BC = (9 x 10⁹)(4 x 10^-12) / (4 x 10^-2)
F_BC = (36 x 10^-3) / (4 x 10^-2)
F_BC = 9x10 pa^-1
F_BC = 0,9 Newton
Mphamvu yamagetsi pa mfundo B ndi C ndi yabwino, motero mphamvu yamagetsi F imayang'ana mbali yake_BC kumanzere, kutali ndi malo C.

Mphamvu yamagetsi pakati pa ma charges pa mfundo B ndi A:
F_BA = k (q_B)(q_A) /r_BA²
F_BA = (9 x 10⁹)(2 x 10^-6)(2 x 10^-6) / (2 x 10^-1)²
F_BA = (9 x 10⁹)(4 x 10^-12) / (4 x 10^-2)
F_BA = (36 x 10^-3) / (4 x 10^-2)
F_BA = 9x10 pa^-1
F_BA = 0,9 Newton
Mphamvu yamagetsi pa mfundo B ndi A ndi yabwino, motero mphamvu yamagetsi F imayang'ana mbali yake_BA pansi, kutali ndi malo A.

Mphamvu ziwiri zamagetsi zimapanga ngodya yakumanja, motero mphamvu zamagetsi zomwe zimagwira ntchito pa mfundo B zimawerengedwa pogwiritsa ntchito njira ya Pythagorean.
Yankho lolondola ndi B.

9. Yang'anani chithunzi chotsatirachi!
Madandaulo atatu Q₁,Q₂, ndi Q₃ ili kumapeto kwa kansalu ka kumanja ABC. Kutalika kwa AB = BC = 30 cm. Zimadziwika kuti k = 9.10 ndi⁹ Nm².C^-2 ndipo 1 µ = 10^-6 kenako gulu la Coulomb lomwe linatsatira Q linabwera₁ ndi….

1. 1 N
2. 5 N
3. 7 N
4. 10 N
5. 12 N

Zokambirana
Amadziwika kuti:
Ndalama pa mfundo A (q)_A) = 3 µC = 3 x 10^-6 Coulomb
Kulipira pa mfundo B (q)_B) = -10 µC = -10 x 10^-6 Coulomb
Mtengo pa mfundo C (q)_C) = 4 µC = 4 x 10^-6 Coulomb
Mtunda kuchokera ku B kupita ku C (r)_BC) = 30 cm = 0,3 mamita = 3 x 10^-1 mita
Mtunda kuchokera ku B kupita ku A (r)_BA) = 30 cm = 0,3 mamita = 3 x 10^-1 mita
k = 9.10 ndi⁹ Nm².C^-2
Anafunsa kuti: Mphamvu ya Coulomb yotsatira pa mfundo B
Yankho:
Mphamvu yamagetsi pakati pa ma charges pa mfundo B ndi C:
F_BC = k (q_B)(q_C) /r_BC²
F_BC = (9 x 10⁹)(10 x 10^-6)(4 x 10^-6) / (3 x 10^-1)²
F_BC = (9 x 10⁹)(40 x 10^-12) / (9 x 10^-2)
F_BC = (360 x 10^-3) / (9 x 10^-2)
F_BC = 40x10 pa^-1
F_BC = 4 Newton
Mphamvu yamagetsi pa mfundo B ndi yoipa ndipo mphamvu yamagetsi pa mfundo C ndi yabwino, motero mphamvu yamagetsi F ndi yolunjika._BC kumanja kupita ku mfundo C.

Mphamvu yamagetsi pakati pa ma charges pa mfundo B ndi A:
F_BA = k (q_B)(q_A) /r_BA²
F_BA = (9 x 10⁹)(10 x 10^-6)(3 x 10^-6) / (3 x 10^-1)²
F_BA = (9 x 10⁹)(30 x 10^-12) / (9 x 10^-2)
F_BA = (270 x 10^-3) / (9 x 10^-2)
F_BA = 30x10 pa^-1
F_BA = 3 Newton
Mphamvu yamagetsi pa mfundo B ndi yoipa ndipo mphamvu yamagetsi pa mfundo A ndi yabwino, motero mphamvu yamagetsi F imayang'ana mbali yake._BA mpaka kufika pa mfundo A.
 
Mphamvu ziwiri zamagetsi zimapanga ngodya yakumanja, motero mphamvu zamagetsi zomwe zimagwira ntchito pa mfundo B zimawerengedwa pogwiritsa ntchito njira ya Pythagorean.
Yankho lolondola ndi B.

Gwero la funso:

Mafunso a National Examination Physics a Senior High School/Vocational High School