Mibvunzo yemuenzaniso weCoulomb Force

Mienzaniso 9 yeMibvunzo yeCoulomb Force

1. Mitoro mitatu yakarongwa sezviri pamufananidzo uri pazasi. Simba reCoulomb rinowanikwa nechaji B ndiro …. (k = 9 x 109 Nm2C-2, 1 μC = 10-6 C)
Muenzaniso weCoulomb Force Mubvunzo 1

A. 09 x 10 1 N yekuchaja C

B. 09 x 10 1 N yekuchaja A

C. 18 x 10 1 N yekuchaja C

D. 18 x 10 1 N yekuchaja A

E. 36 x 10 1 N yekuchaja C

Kukurukurirana

Zvinozivikanwa kuti :

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

q B = 10 µC = 10 x 10 -6 = 10 -5 Coulombs

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

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

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

k = 9 x 10 9 Nm 2 C −2

Akabvunzwa : Coulomb force yakasangana nechaja B

Mhinduro :

Kune masimba maviri eCoulomb kana kuti masimba emagetsi anoshanda pachaji B, anoti simba reCoulomb riri pakati pechaji A neB (F AB ) uye simba reCoulomb riri pakati pechaji B neC (F BC ). Simba reCoulomb rinowanikwa pachaji B rinobva kuF AB neF BC.

Simba reCoulomb pakati pemhosva A neB:

Muenzaniso weCoulomb Force Mubvunzo 2

Chaja A iri positive uye chaja B iri positive saka F AB iri charge C.

Simba reCoulomb pakati pemhosva B naC:

Muenzaniso weCoulomb Force Mubvunzo 3

Chaja B inoonekwa seyakanaka uye chaja C inoonekwa seyakanaka saka F BC inoonekwa seyakanaka seyaA.

Simba reCoulomb rinoonekwa nechaji B:

F B = F BC – F AB = 180-90 = 90 N

Hukuru hwesimba reCoulomb rinowanikwa nechaji B (F B ) i90 Newtons. Kutungamira kweF B kwakafanana nekutungamira kweF BC , kureva kuti kuenda kune chaji A.

Mhinduro chaiyo ndeiyi B.

2. Hukuru negwara reCoulomb force iri pacharge B ndeizvi... ( k = 9 x 10 9 Nm 2 C −2 , 1 μC = 10 −6 C)

Muenzaniso weCoulomb Force Mubvunzo 4

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

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

C. 2 k Q 2 r -2 kuruboshwe

D. 2 k Q 2 r -2 kurudyi

E. 1 k Q 2 r -2 kuruboshwe

Kukurukurirana

Zvinozivikanwa kuti :

Chaja A (q A ) = +Q

Chaja B (q B ) = -2Q

Chaja C (q C ) = -Q

Nhambwe iri pakati pemari A neB (r AB ) = r

Nhambwe iri pakati pemari B neC (r BC ) = 2r

k = 9 x 10 9 Nm 2 C −2

Akabvunzwa : hukuru uye gwara remauto eCoulomb ari pachigaro B

Mhinduro :

Simba reCoulomb pakati pechaja A nechaja B:

Muenzaniso weCoulomb Force Mubvunzo 5

Chaja A iri positive uye chaja B iri negative saka nzira yeF AB iri kunanga kuchaja A

Simba reCoulomb pakati pechaji B nechaji C:

Muenzaniso weCoulomb Force Mubvunzo 6

Chaja B haina kunaka uye chaja C haina kunaka saka nzira yeF BC iri kunanga kuchaja A

Simba rinobuda richibata basa pamhosva 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

Kutungamira kweCoulomb force kuri kuenda kuA kana kuruboshwe.

Mhinduro chaiyo ndiA.

3. Machaji maviri emagetsi akaiswa zvakasiyana sezvakaratidzwa mumufananidzo. Chaji paA i8 µC uye simba rinokwezva rinoshanda pachaji dzese i45 N. Kana chaji A ikachinjirwa kurudyi ne1 cm uye k = 9.10 9 Nm 2 .C -2 , saka simba rinokwezva rinoshanda pachaji dzese i…

A. 45 NMuenzaniso weCoulomb Force Mubvunzo 7

B. 60 N

C. 80 N

D. 90 N

E. 120 N

Kukurukurirana

Zvinozivikanwa kuti :

Chaja yemagetsi paA (q A ) = 8 µC = 8 x 10 -6 Coulombs

Simba remagetsi riri pakati pemachaji maviri (F) = 45 Newton

Nhambwe iri pakati pemachaji maviri (r AB ) = 4 cm = 0,04 metres = 4 x 10 -2 metres

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

Mubvunzo : Simba remagetsi riri pakati pemachaji maviri kana chaji A ikachinjirwa kurudyi ne 1 cm kana 0,01 metres

Mhinduro :

Tanga waverenga chaji yemagetsi paB, wobva waverenga simba remagetsi pakati pechaji mbiri dzemagetsi, kana chaji yemagetsi paA ikachinjwa kuenda kurudyi ne1 cm.

Chaja yemagetsi paB :

Fomura Mutemo waCoulomb :

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

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

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

Chaja yemagetsi paB :

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

Simba remagetsi riri pakati pemari dzemagetsi A neB :

Kana chaji iri paA ikachinjwa kurudyi ne 1 cm, daro riri pakati pechaji mbiri rinova 3 cm = 0,03 metres = 3 x 10 -2 metres

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

Mhinduro chaiyo ndiC.

4. Machaji maviri emagetsi P neQ ari kure ne10 cm anowana simba rinokwezva re8 N. Kana chaji Q ikachinjirwa 5 cm kuenda kuchaji P (1 µC = 10 -6 C uye k = 9 x 10 9 Nm 2 .C -2 ), saka simba remagetsi rinoitika ndiro...

A. 8 NMuenzaniso weCoulomb Force Mubvunzo 8

B. 16 N

C. 32 N

D. 40 N

E. 56 N

Kukurukurirana

Zvinozivikanwa kuti :

Nhambwe iri pakati pechaji P na Q (r PQ ) = 10 cm = 0,1 m = 1 x 10 -1 m

Simba remagetsi riri pakati pemari P neQ (F) = 8 N

Chaja yemagetsi Q (q Q ) = 40 µC = 40 x 10 -6 C

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

Mubvunzo : Simba remagetsi riri pakati pemachaji P neQ kana chaji Q ikachinjirwa 5 cm kuenda kuchaji P

Mhinduro :

Kutanga verenga chaji yemagetsi P, wobva waverenga simba remagetsi riri pakati pechaji mbiri dzemagetsi, kana chaji yemagetsi Q yakachinjirwa 5 cm kuenda kuchaji P.

Chaja yemagetsi 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

Simba remagetsi riri pakati pechaja dzemagetsi P naQ :

Kana chaji iri paQ ikachinjwa kuruboshwe ne5 cm, daro riri pakati pechaji mbiri rinova 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

Mhinduro chaiyo ndiC.

5. Tarisa mufananidzo unotevera wemagetsi anochaja. Simba remagetsi rinoonekwa nechaja q B i8 N (1 µC = 10 -6 C) uye (k = 9.10 9 Nm 2 .C -2 ). Kana chaja q B ikachinjwa kuenda ku4 cm kubva kuA, saka simba remagetsi rinoonekwa neq B ikozvino…

A. 2 NMuenzaniso weCoulomb Force Mubvunzo 9

B. 4 N

C. 6 N

D. 8 N

E. 10 N

Kukurukurirana

Zvinozivikanwa kuti :

Nhambwe iri pakati pechaja A neB (r AB ) = 2 cm = 0,02 m = 2 x 10 -2 m

Simba remagetsi riri pakati pemari A neB (F) = 8 N

Chaja yemagetsi A (q A ) = 2 µC = 2 x 10 -6 C

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

Mubvunzo : Simba remagetsi riri pakati pechaja A neB kana daro riri pakati pechaja mbiri iri 4 cm

Mhinduro :

Tanga waverenga chaji yemagetsi B, wobva waverenga simba remagetsi riri pakati pechaji mbiri dzemagetsi kana daro riri pakati pechaji mbiri dzemagetsi riri 4 cm = 0,04 metres = 4 x 10 -2 metres.

Chaja yemagetsi 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

Simba remagetsi riri pakati pechaja A neB :

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

Mhinduro chaiyo ndiA.

6. Machaji matatu emagetsi akaiswa pamakona etriangle ABC ane urefu hwepadivi AB = BC = 20 cm uye hukuru hwechaji hwakafanana (q = 2µC) sezviri mumufananidzo uri padivi (k = 9.10 9 Nm 2 .C -2 , 1 µ = 10 -6 ). Hukuru hwesimba remagetsi rinoshanda panzvimbo B ndi….

A. 0,9√3 NMuenzaniso weCoulomb Force Mubvunzo 10

B. 0,9√2 N

C. 0,9 N

D. 0,81 N

E. 0,4 N

Kukurukurirana

Zvinozivikanwa kuti:

Chaja panzvimbo A (q A ) = 2 µC = 2 x 10 -6 Coulomb

Chaja panzvimbo B (q B ) = 2 µC = 2 x 10 -6 Coulomb

Chaja panzvimbo C (q C ) = 2 µC = 2 x 10 -6 Coulomb

Daro B kusvika C (r BC ) = 20 cm = 0,2 metres = 2 x 10 -1 metres

Daro B kusvika A (r BA ) = 20 cm = 0,2 metres = 2 x 10 -1 metres

k = 9.10 9 Nm 2 .C -2

Mubvunzo: Hukuru hwesimba remagetsi rinoshanda panzvimbo B

Mhinduro:

Simba remagetsi riri pakati pemachaji ari pamapoinzi B neC:

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

Chaji yemagetsi panzvimbo B neC yakanaka, saka divi remagetsi F BC riri kuruboshwe, kure nenzvimbo C.

Simba remagetsi riri pakati pemachaji ari pamapoinzi B neA:

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

Chaji yemagetsi panzvimbo B neA yakanaka, saka divi remagetsi F BA riri pasi, kure nepoindi A.

Masimba maviri emagetsi anoumba kona yekurudyi, saka simba remagetsi rinobuda rinoshanda panzvimbo B rinoverengwa uchishandisa fomura yePythagorean.

Muenzaniso weCoulomb Force Mubvunzo 11

Mhinduro chaiyo ndeiyi B.

7. Tarisa mufananidzo unotevera!

Machaji matatu Q 1 , Q 2 , uye Q 3 akaiswa pamucheto wetriangle yekurudyi ABC. Kureba kweAB = BC = 30 cm. Kana uchifunga kuti k = 9.10 9 Nm 2 .C -2 uye 1 µ = 10 -6 , simba reCoulomb rinobuda pachaji Q 1 ndiro….

A. 1 NMuenzaniso weCoulomb Force Mubvunzo 12

B. 5 N

C. 7 N

D. 10 N

E. 12 N

Kukurukurirana

Zvinozivikanwa kuti:

Chaja panzvimbo A (q A ) = 3 µC = 3 x 10 -6 Coulomb

Chaja panzvimbo B (q B ) = -10 µC = -10 x 10 -6 Coulomb

Chaja panzvimbo C (q C ) = 4 µC = 4 x 10 -6 Coulomb

Daro B kusvika C (r BC ) = 30 cm = 0,3 metres = 3 x 10 -1 metres

Daro B kusvika A (r BA ) = 30 cm = 0,3 metres = 3 x 10 -1 metres

k = 9.10 9 Nm 2 .C -2

Mubvunzo: Simba reCoulomb rinobuda panzvimbo B

Mhinduro:

Simba remagetsi riri pakati pemachaji ari pamapoinzi B neC:

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

Chaja yemagetsi panzvimbo B haina kunaka uye chaja yemagetsi panzvimbo C yakanaka, saka divi remagetsi F BC riri kurudyi richienda panzvimbo C.

Simba remagetsi riri pakati pemachaji ari pamapoinzi B neA:

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

Chaja yemagetsi panzvimbo B haina kunaka uye chaja yemagetsi panzvimbo A yakanaka, saka kutungamira kwesimba remagetsi F BA kuri kumusoro kuenda panzvimbo A.

Masimba maviri emagetsi anoumba kona yekurudyi, saka simba remagetsi rinobuda rinoshanda panzvimbo B rinoverengwa uchishandisa fomura yePythagorean.

Muenzaniso weCoulomb Force Mubvunzo 13

Mhinduro chaiyo ndeiyi B.

8. Machaji matatu emagetsi akaiswa pamakona etriangle ABC ane urefu hwepadivi AB = BC = 20 cm uye saizi yekuchaja yakafanana (q = 2µC) sezviri mumufananidzo uri padivi (k = 9.109 Nm2.C-2, 1 µ = 10-6). Hukuru hwesimba remagetsi Muenzaniso weCoulomb Force Mubvunzo 14kushanda padanho B ndiko….

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

Kukurukurirana

Zvinozivikanwa kuti:
Mari iri papoindi A (q)A) = 2 µC = 2 x 10-6 Coulomb
Mutengo uri panzvimbo B (q)B) = 2 µC = 2 x 10-6 Coulomb
Mutengo uri panzvimbo C (q)C) = 2 µC = 2 x 10-6 Coulomb
Kureba kubva paB kusvika paC (r)BC) = 20 cm = 0,2 mamita = 2 x 10-1 mita
Kureba kubva paB kusvika paA (r)BA) = 20 cm = 0,2 mamita = 2 x 10-1 mita
k = zana9 Nm2.C-2
Akabvunzwa: Hukuru hwesimba remagetsi rinoshanda panzvimbo B
Mhinduro:

Simba remagetsi riri pakati pemachaji ari pamapoinzi B neC:
FBC = k (q)B)(q)C) / 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 = 9 x gumi-1
FBC = 0,9 Newton
Chaji yemagetsi panzvimbo B neC yakanaka, saka divi remagetsi F ririBC kuruboshwe, kure nenzvimbo C.

Simba remagetsi riri pakati pemachaji ari pamapoinzi B neA:
FBA = k (q)B)(q)A) / 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 = 9 x gumi-1
FBA = 0,9 Newton
Chaji yemagetsi panzvimbo B neA yakanaka, saka divi remagetsi F ririBA pasi, kure nenzvimbo A.

Masimba maviri emagetsi anoumba kona yekurudyi, saka simba remagetsi rinobuda rinoshanda panzvimbo B rinoverengwa uchishandisa fomura yePythagorean.
Muenzaniso weCoulomb Force Mubvunzo 15Mhinduro chaiyo ndeiyi B.

9. Tarisa mufananidzo unotevera!
Mhosva nhatu Q1,Q2, uye Q3 iri pamucheto wekatatu yekurudyi inonzi ABC. Kureba kweAB = BC = 30 cm. Zvinozivikanwa kuti Muenzaniso weCoulomb Force Mubvunzo 16k = zana9 Nm2.C-2 uye 1 µ = 10-6 ipapo simba reCoulomb rakabuda pachigaro cheQ1 iri….

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

Kukurukurirana
Zvinozivikanwa kuti:
Mari iri papoindi A (q)A) = 3 µC = 3 x 10-6 Coulomb
Mutengo uri panzvimbo B (q)B) = -10 µC = -10 x 10-6 Coulomb
Mutengo uri panzvimbo C (q)C) = 4 µC = 4 x 10-6 Coulomb
Kureba kubva paB kusvika paC (r)BC) = 30 cm = 0,3 mamita = 3 x 10-1 mita
Kureba kubva paB kusvika paA (r)BA) = 30 cm = 0,3 mamita = 3 x 10-1 mita
k = zana9 Nm2.C-2
Akabvunzwa: Simba reCoulomb rinobuda panzvimbo B
Mhinduro:
Simba remagetsi riri pakati pemachaji ari pamapoinzi B neC:
FBC = k (q)B)(q)C) / 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 = 40 x gumi-1
FBC = 4 Newton
Chaja yemagetsi panzvimbo B haina kunaka uye chaja yemagetsi panzvimbo C yakanaka, saka divi remagetsi F ririBC kurudyi uchienda kupoinzi C.

Simba remagetsi riri pakati pemachaji ari pamapoinzi B neA:
FBA = k (q)B)(q)A) / 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 = 30 x gumi-1
FBA = 3 Newton
Chaja yemagetsi panzvimbo B haina kunaka uye chaja yemagetsi panzvimbo A yakanaka, saka divi remagetsi F ririBA kusvika padanho A.
 
Masimba maviri emagetsi anoumba kona yekurudyi, saka simba remagetsi rinobuda rinoshanda panzvimbo B rinoverengwa uchishandisa fomura yePythagorean.
Muenzaniso weCoulomb Force Mubvunzo 18Mhinduro chaiyo ndeiyi B.

Kwakabva mubvunzo:

Mibvunzo yeNational Examination Physics yeChikoro Chesekondari/Chikoro Chepamusoro Chebasa

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