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)
Chitsanzo cha Coulomb Force Funso 1

A. 09 x 10 1 N kuti mulipire C

B. 09 x 10 1 N kuti mulipire A

C. 18 x 10 1 N kuti mulipire C

D. 18 x 10 1 N kuti mulipire A

E. 36 x 10 1 N kuti mulipire C

Zokambirana

Amadziwika kuti :

q A = 10 µC = 10 x 10 -6 C = 10 -5 Coulombs

q B = 10 µC = 10 x 10 -6 = 10 -5 Ma Coulomb

q C = 20 µC = 20 x 10 -6 = 2 x 10 -5 Coulombs

r AB = mamita 0,1 = mamita 10 -1

r BC = mamita 0,1 = mamita 10 -1

k = 9 x 10 9 Nm 2 C −2

Anafunsa : Gulu la Coulomb lomwe linakumana ndi mkulu B

Yankho :

Pali mphamvu ziwiri za Coulomb kapena mphamvu zamagetsi zomwe zimagwira ntchito pa mphamvu B, zomwe ndi mphamvu ya Coulomb pakati pa mphamvu A ndi B (F AB ) ndi mphamvu ya Coulomb pakati pa mphamvu B ndi C (F BC ). Mphamvu ya Coulomb yomwe imapezeka pa mphamvu B imachokera ku mphamvu ya F AB ndi F BC.

Mphamvu ya Coulomb pakati pa milandu A ndi B:

Chitsanzo cha Coulomb Force Funso 2

Ndalama A ndi yabwino ndipo ndalama B ndi yabwino kotero kuti F AB ipite ku ndalama C.

Mphamvu ya Coulomb pakati pa milandu B ndi C:

Chitsanzo cha Coulomb Force Funso 3

Chaji B ndi chabwino ndipo chaji C ndi chabwino kotero kuti F BC ikupita ku chaji A.

Mphamvu ya Coulomb yomwe imapezeka ndi mlandu B:

F B = F BC – F AB = 180-90 = 90 N

Kukula kwa mphamvu ya Coulomb komwe kumawonedwa ndi mphamvu ya B (F B ) ndi ma Newton 90. Kulunjika kwa F B kuli kofanana ndi kulunjika kwa F BC , komwe kumapita ku mphamvu ya A.

Yankho lolondola ndi B.

2. Kukula ndi malangizo a mphamvu ya Coulomb pa mphamvu B ndi... ( k = 9 x 10 9 Nm 2 C −2 , 1 μC = 10 −6 C)

Chitsanzo cha Coulomb Force Funso 4

A. 2,5 k Q 2 r -2 kumanzere

B. 2,5 k Q 2 r -2 kumanja

C. 2 k Q 2 r -2 kumanzere

D. 2 k Q 2 r -2 kumanja

E. 1 k Q 2 r -2 kumanzere

Zokambirana

Amadziwika kuti :

Ndalama A (q A ) = +Q

Ndalama B (q B ) = -2Q

Ndalama 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 10 9 Nm 2 C −2

Anafunsa : kukula ndi komwe gulu lankhondo la Coulomb linkatsogolera B

Yankho :

Mphamvu ya Coulomb pakati pa cholipiritsa A ndi cholipiritsa B:

Chitsanzo cha Coulomb Force Funso 5

Chaji A ndi yabwino ndipo chaji B ndi yoipa kotero kuti njira ya F AB ikupita ku chaji A

Mphamvu ya Coulomb pakati pa cholipiritsa B ndi cholipiritsa C:

Chitsanzo cha Coulomb Force Funso 6

Chaji B ndi yoipa ndipo chaji C ndi yoipa kotero njira ya F BC ikupita ku chaji A

Gulu lotsatira lomwe likugwira ntchito pa udindo B:

F = F AB + F BC = 2 k Q 2 /r 2 + 0,5 k Q 2 /r 2 = 2,5 k Q 2 /r 2 = 2,5 k Q 2 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 zasonyezedwera pachithunzichi. Ma charge pa A ndi 8 µC ndipo mphamvu yokoka yomwe imagwira ntchito pa ma charge onse awiri ndi 45 N. Ngati charge A yasunthidwa kumanja ndi 1 cm ndipo k = 9.10 9 Nm 2 .C -2 , ndiye kuti mphamvu yokoka yomwe imagwira ntchito pa ma charge onse awiri ndi…

A. 45 NChitsanzo cha Coulomb Force Funso 7

B. 60 N

C. 80 N

D. 90 N

E. 120 N

Zokambirana

Amadziwika kuti :

Chaji yamagetsi pa A (q A ) = 8 µC = 8 x 10 -6 Coulombs

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

Mtunda pakati pa ma charge awiri (r AB ) = 4 cm = 0,04 metres = 4 x 10 -2 metres

Chokhazikika (k) = 9 x 10 9 Nm 2 .C -2

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

Yankho :

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 ) / r 2

Fr r 2 = k (q A )(q B )

q B = F r 2 / k (q A )

Chaji yamagetsi pa B :

q B = (45)(4 x 10 -2 ) 2 / (9 x 10 9 )(8 x 10 -6 )

q B = (45)(16 x 10 -4 ) / 72 x 10 3

q B = (720 x 10 -4 ) / (72 x 10 3 )

q B = 10 x 10 -7 Coulombs

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 mamita

F = k (q A )(q B ) / r 2

F = (9 x 10 9 )(8 x 10 -6 )(10 x 10 -7 ) / (3 x 10 -2 ) 2

F = (9 x 10 9 )(80 x 10 -13 ) / (9 x 10 -4 )

F = (1 x 10 9 )(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 charge awiri amagetsi P ndi Q omwe ali pamtunda wa 10 cm amakhala ndi mphamvu yokoka ya 8 N. Ngati charge Q yasunthidwa 5 cm kupita ku charge P (1 µC = 10 -6 C ndi k = 9 x 10 9 Nm 2 .C -2 ), ndiye kuti mphamvu yamagetsi yomwe imachitika ndi...

A. 8 NChitsanzo cha Coulomb Force Funso 8

B. 16 N

C. 32 N

D. 40 N

E. 56 N

Zokambirana

Amadziwika kuti :

Mtunda pakati pa ma chaji 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 10 9 Nm 2 .C -2

Funso : Mphamvu yamagetsi pakati pa ma charges P ndi Q ngati charge Q yasunthidwa 5 cm kupita ku charge P

Yankho :

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 = F r 2 / k (q Q )

q P = (8)(1 x 10 -1 ) 2 / (9 x 10 9 )(40 x 10 -6 )

q P = (8)(1 x 10 -2 ) / 360 x 10 3

q P = (8 x 10 -2 ) / (36 x 10 4 )

q P = (1 x 10 -2 ) / (4,5 x 10 4 )

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 metres

F = k (q P )(q Q ) / r 2

F = (9 x 10 9 )((1/4,5) x 10 -6 )(40 x 10 -6 ) / (5 x 10 -2 ) 2

F = (2 x 10 3 )(40 x 10 -6 ) / (25 x 10 -4 )

F = (80 x 10 -3 ) / (25 x 10 -4 )

F = 3,2 x 10 1

F = 32 Newton

Yankho lolondola ndi C.

5. Yang'anani chithunzi chotsatira cha ma chaji amagetsi. Mphamvu yamagetsi yomwe imapezeka ndi chaji q B ndi 8 N (1 µC = 10 -6 C) ndi (k = 9.10 9 Nm 2 .C -2 ). Ngati chaji q B yasamutsidwira ku 4 cm kuchokera ku A, ndiye kuti mphamvu yamagetsi yomwe imapezeka ndi q B tsopano ndi…

A. 2 NChitsanzo cha Coulomb Force Funso 9

B. 4 N

C. 6 N

D. 8 N

E. 10 N

Zokambirana

Amadziwika 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 10 9 Nm 2 .C -2

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

Yankho :

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 mamita.

Chaja yamagetsi B :

q B = F r 2 / k (q A )

q B = (8)(2 x 10 -2 ) 2 / (9 x 10 9 )(2 x 10 -6 )

q B = (8)(4 x 10 -4 ) / (18 x 10 3 )

q B = (32 x 10 -4 ) / (18 x 10 3 )

q B = (32/18) x 10 -7

q B = (16/9) x 10 -7 Coulombs

Mphamvu yamagetsi pakati pa ma chaji A ndi B :

F = k (q A )(q B ) / r 2

F = (9 x 10 9 )(2 x 10 -6 )((16/9) x 10 -7 ) / (4 x 10 -2 ) 2

F = (18 x 10 3 )((16/9) x 10 -7 ) / (16 x 10 -4 )

F = (2 x 10 3 )(16 x 10 -7 ) / (16 x 10 -4 )

F = (2 x 10 3 )(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 pamakona a ABC okhala ndi kutalika kwa mbali AB = BC = 20 cm ndi kukula komweko kwa charge (q = 2µC) monga momwe zilili pachithunzi cha mbali (k = 9.10 9 Nm 2 .C -2 , 1 µ = 10 -6 ). Kukula kwa mphamvu yamagetsi yomwe ikugwira ntchito pa mfundo B ndi….

A. 0,9√3 NChitsanzo cha Coulomb Force Funso 10

B. 0,9√2 N

C. 0,9 N

D. 0,81 N

E. 0,4 N

Zokambirana

Amadziwika kuti:

Chaji pamalo A (q A ) = 2 µC = 2 x 10 -6 Coulomb

Chaji pamalo B (q B ) = 2 µC = 2 x 10 -6 Coulomb

Chaji pamalo C (q C ) = 2 µC = 2 x 10 -6 Coulomb

Mtunda B mpaka C (r BC ) = 20 cm = 0,2 mamita = 2 x 10 -1 mamita

Mtunda B mpaka A (r BA ) = 20 cm = 0,2 mamita = 2 x 10 -1 mamita

k = 9.10 9 Nm 2 .C -2

Funso: Kukula kwa mphamvu yamagetsi komwe kumagwira ntchito pa mfundo B

Yankho:

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

F BC = k (q B )(q C ) / r BC 2

F BC = (9 x 10 9 )(2 x 10 -6 )(2 x 10 -6 ) / (2 x 10 -1 ) 2

F BC = (9 x 10 9 )(4 x 10 -12 ) / (4 x 10 -2 )

F BC = (36 x 10 -3 ) / (4 x 10 -2 )

F BC = 9 x 10 -1

F BC = 0,9 Newton

Mphamvu yamagetsi pa mfundo B ndi C ndi yabwino, motero mphamvu yamagetsi F BC ili kumanzere, kutali ndi mfundo C.

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

F BA = k (q B )(q A ) / r BA 2

F BA = (9 x 10 9 )(2 x 10 -6 )(2 x 10 -6 ) / (2 x 10 -1 ) 2

F BA = (9 x 10 9 )(4 x 10 -12 ) / (4 x 10 -2 )

F BA = (36 x 10 -3 ) / (4 x 10 -2 )

F BA = 9 x 10 -1

F BA = 0,9 Newton

Mphamvu yamagetsi pa mfundo B ndi A ndi yabwino, motero mphamvu yamagetsi F BA imapita pansi, kutali ndi mfundo A.

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

Chitsanzo cha Coulomb Force Funso 11

Yankho lolondola ndi B.

7. Yang'anani chithunzi chotsatirachi!

Ma charge atatu Q 1 , Q 2 , ndi Q 3 ali pa nsonga za kansalu kolondola ABC. Kutalika kwa AB = BC = 30 cm. Popeza k = 9.10 9 Nm 2 .C -2 ndi 1 µ = 10 -6 ndiye mphamvu ya Coulomb yomwe imachokera pa charge Q 1 ndi….

A. 1 NChitsanzo cha Coulomb Force Funso 12

B. 5 N

C. 7 N

D. 10 N

E. 12 N

Zokambirana

Amadziwika kuti:

Chaji pamalo A (q A ) = 3 µC = 3 x 10 -6 Coulomb

Chaji pamalo B (q B ) = -10 µC = -10 x 10 -6 Coulomb

Chaji pamalo C (q C ) = 4 µC = 4 x 10 -6 Coulomb

Mtunda B mpaka C (r BC ) = 30 cm = 0,3 mamita = 3 x 10 -1 mamita

Mtunda B mpaka A (r BA ) = 30 cm = 0,3 mamita = 3 x 10 -1 mamita

k = 9.10 9 Nm 2 .C -2

Funso: Mphamvu ya Coulomb yochokera pa mfundo B

Yankho:

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

F BC = k (q B )(q C ) / r BC 2

F BC = (9 x 10 9 )(10 x 10 -6 )(4 x 10 -6 ) / (3 x 10 -1 ) 2

F BC = (9 x 10 9 )(40 x 10 -12 ) / (9 x 10 -2 )

F BC = (360 x 10 -3 ) / (9 x 10 -2 )

F BC = 40 x 10 -1

F BC = 4 Newton

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

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

F BA = k (q B )(q A ) / r BA 2

F BA = (9 x 10 9 )(10 x 10 -6 )(3 x 10 -6 ) / (3 x 10 -1 ) 2

F BA = (9 x 10 9 )(30 x 10 -12 ) / (9 x 10 -2 )

F BA = (270 x 10 -3 ) / (9 x 10 -2 )

F BA = 30 x 10 -1

F BA = 3 Newton

Mphamvu yamagetsi pa mfundo B ndi yoipa ndipo mphamvu yamagetsi pa mfundo A ndi yabwino, motero njira ya mphamvu yamagetsi F BA ili mmwamba kupita ku mfundo A.

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

Chitsanzo cha Coulomb Force Funso 13

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 Chitsanzo cha Coulomb Force Funso 14kugwira 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:
FBC = k (qB)(qC) /rBC2
FBC = (9 x 109)(2 x 10-6)(2 x 10-6) / (2 x 10-1)2
FBC = (9 x 109)(4 x 10-12) / (4 x 10-2)
FBC = (36 x 10-3) / (4 x 10-2)
FBC = 9x10 pa-1
FBC = 0,9 Newton
Mphamvu yamagetsi pa mfundo B ndi C ndi yabwino, motero mphamvu yamagetsi F imayang'ana mbali yakeBC kumanzere, kutali ndi malo C.

Mphamvu yamagetsi pakati pa ma charges pa mfundo B ndi A:
FBA = k (qB)(qA) /rBA2
FBA = (9 x 109)(2 x 10-6)(2 x 10-6) / (2 x 10-1)2
FBA = (9 x 109)(4 x 10-12) / (4 x 10-2)
FBA = (36 x 10-3) / (4 x 10-2)
FBA = 9x10 pa-1
FBA = 0,9 Newton
Mphamvu yamagetsi pa mfundo B ndi A ndi yabwino, motero mphamvu yamagetsi F imayang'ana mbali yakeBA 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.
Chitsanzo cha Coulomb Force Funso 15Yankho 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 Chitsanzo cha Coulomb Force Funso 16k = 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:
FBC = k (qB)(qC) /rBC2
FBC = (9 x 109)(10 x 10-6)(4 x 10-6) / (3 x 10-1)2
FBC = (9 x 109)(40 x 10-12) / (9 x 10-2)
FBC = (360 x 10-3) / (9 x 10-2)
FBC = 40x10 pa-1
FBC = 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:
FBA = k (qB)(qA) /rBA2
FBA = (9 x 109)(10 x 10-6)(3 x 10-6) / (3 x 10-1)2
FBA = (9 x 109)(30 x 10-12) / (9 x 10-2)
FBA = (270 x 10-3) / (9 x 10-2)
FBA = 30x10 pa-1
FBA = 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.
Chitsanzo cha Coulomb Force Funso 18Yankho lolondola ndi B.

Gwero la funso:

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

Sangalalani, PDF ndi Imelo

Siyani ndemanga