9 mau laʻana o nā nīnau no ka ikaika Coulomb
1. Ua hoʻonohonoho ʻia ʻekolu mau ukana e like me ke kiʻi ma lalo nei. ʻO ka ikaika Coulomb i ʻike ʻia e ka hoʻopiʻi B he …. (k = 9 x 109 Nm2C-2, 1 μC = 10-6 C)
A. 09 x 10 1 N e hoʻouka iā C
B. 09 x 10 1 N e hoʻouka iā A
C. 18 x 10 1 N e hoʻouka iā C
D. 18 x 10 1 N e hoʻouka iā A
E. 36 x 10 1 N e hoʻouka iā C
Pahana
Ua ʻike ʻia :
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 mika = 10 -1 mika
r BC = 0,1 mika = 10 -1 mika
k = 9 x 10 9 Nm 2 C −2
Nīnau ʻia : ʻO ka ikaika Coulomb i ʻike ʻia e ka hoʻopiʻi B
Pane :
Aia ʻelua mau mana Coulomb a i ʻole nā mana uila e hana ana ma ka hoʻopiʻi B, ʻo ia hoʻi ka mana Coulomb ma waena o nā hoʻopiʻi A a me B (F AB ) a me ka mana Coulomb ma waena o nā hoʻopiʻi B a me C (F BC ). ʻO ka mana Coulomb i ʻike ʻia e ka hoʻopiʻi B ʻo ia ka hopena o F AB a me F BC.
Ka ikaika Coulomb ma waena o nā uku A a me B:
He maikaʻi ka hoʻouku A a he maikaʻi ka hoʻouku B no laila e hele ʻo F AB i ka hoʻouku C.
Ka ikaika Coulomb ma waena o nā uku B a me C:
He maikaʻi ka hoʻouku B a he maikaʻi ka hoʻouku C no laila e hele ʻo F BC i ka hoʻouku A.
Ka ikaika Coulomb i ʻike ʻia e ka hoʻopiʻi B:
F B = F BC – F AB = 180-90 = 90 N
ʻO ka nui o ka ikaika Coulomb i ʻike ʻia e ka uku B (F B ) he 90 Newtons. ʻO ke kuhikuhi o F B ua like ia me ke kuhikuhi o F BC , ʻo ia hoʻi i ka uku A.
ʻO ka pane pololei ʻo B.
2. ʻO ka nui a me ke kuhikuhi o ka ikaika Coulomb ma ka uku B ʻo ia... ( k = 9 x 10 9 Nm 2 C −2 , 1 μC = 10 −6 C)
A. 2,5 k Q 2 r -2 ma ka hema
B. 2,5 k Q 2 r -2 ma ka ʻākau
C. 2 k Q 2 r -2 ma ka hema
D. 2 k Q 2 r -2 ma ka ʻākau
E. 1 k Q 2 r -2 ma ka hema
Pahana
Ua ʻike ʻia :
Hoʻouku A (q A ) = +Q
Hoʻopiʻi B (q B ) = -2Q
Hoʻouku C (q C ) = -Q
ʻO ka mamao ma waena o nā uku A a me B (r AB ) = r
ʻO ka mamao ma waena o nā uku B a me C (r BC ) = 2r
k = 9 x 10 9 Nm 2 C −2
Nīnau ʻia : ka nui a me ke kuhikuhi o ka ikaika Coulomb ma ka hoʻopiʻi B
Pane :
Ka ikaika Coulomb ma waena o ka uku A a me ka uku B:
He maikaʻi ke kumukūʻai A a he maikaʻi ʻole ke kumukūʻai B no laila ke kuhikuhi ʻana o F AB i ke kumukūʻai A
Ka ikaika Coulomb ma waena o ka uku B a me ka uku C:
He maikaʻi ʻole ka uku B a he maikaʻi ʻole ka uku C no laila ke kuhikuhi ʻana o F BC i ka uku A
ʻO ka hopena o ka ikaika e hana ana ma ka uku 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 = 2.5 k Q 2 r -2
ʻO ke kuhikuhi o ka ikaika Coulomb e kū ana i ka hoʻopiʻi A a i ʻole i ka hema.
ʻO A ka pane pololei.
3. Ua kau ʻia ʻelua mau uku uila ma kahi kaʻawale e like me ka mea i hōʻike ʻia ma ke kiʻi. ʻO ka uku ma A he 8 µC a ʻo ka ikaika huki e hana ana ma nā uku ʻelua he 45 N. Inā hoʻoneʻe ʻia ka uku A i ka ʻākau e 1 cm a ʻo k = 9.10 9 Nm 2 .C -2 , a laila ʻo ka ikaika huki e hana ana ma nā uku ʻelua he…
A. 45 N
B. 60 N
C. 80 N
D. 90 N
E. 120 N
Pahana
Ua ʻike ʻia :
Ka hoʻouku uila ma A (q A ) = 8 µC = 8 x 10 -6 Coulombs
ʻO ka ikaika uila ma waena o nā uku ʻelua (F) = 45 Newton
ʻO ka mamao ma waena o nā uku ʻelua (r AB ) = 4 kenimika = 0,04 mika = 4 x 10 -2 mika
Paʻa (k) = 9 x 10 9 Nm 2 .C -2
Nīnau : ʻO ka ikaika uila ma waena o nā uku ʻelua inā e hoʻoneʻe ʻia ka uku A i ka ʻākau e 1 cm a i ʻole 0,01 mika
Pane :
E helu mua i ka uku uila ma B, a laila e helu i ka ikaika uila ma waena o nā uku uila ʻelua, inā e hoʻoneʻe ʻia ka uku uila ma A i ka ʻākau e 1 kenimika.
Ka hoʻouku uila ma B :
Haʻilula Ke kānāwai o Coulomb :
F = k (q A )(q B ) / r 2
ʻO F r 2 = k (q A )(q B )
q B = F r 2 / k (q A )
Uila uila ma 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
ʻO ka ikaika uila ma waena o nā uku uila A a me B :
Inā hoʻoneʻe ʻia ka uku ma A i ka ʻākau ma 1 kenimika, lilo ka mamao ma waena o nā uku ʻelua i 3 kenimika = 0,03 mika = 3 x 10 -2 mika
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
ʻO C ka pane pololei.
4. ʻElua mau uku uila P a me Q he 10 kenimika ke kaʻawale e ʻike i kahi ikaika hoʻowalewale o 8 N. Inā hoʻoneʻe ʻia ka uku Q he 5 kenimika i ka uku P (1 µC = 10 -6 C a me k = 9 x 10 9 Nm 2 .C -2 ), a laila ʻo ka ikaika uila e kū mai ana...
A. 8 N
B. 16 N
C. 32 N
D. 40 N
E. 56 N
Pahana
Ua ʻike ʻia :
ʻO ka mamao ma waena o nā uku P a me Q (r PQ ) = 10 kenimika = 0,1 m = 1 x 10 -1 m
ʻO ka ikaika uila ma waena o nā uku P a me Q (F) = 8 N
Uila uila Q (q Q ) = 40 µC = 40 x 10 -6 C
Paʻa (k) = 9 x 10 9 Nm 2 .C -2
Nīnau : ʻO ka ikaika uila ma waena o nā uku P a me Q inā e hoʻoneʻe ʻia ka uku Q he 5 cm i ka ʻaoʻao o ka uku P
Pane :
E helu mua i ka uku uila P, a laila e helu i ka ikaika uila ma waena o nā uku uila ʻelua, inā e hoʻoneʻe ʻia ka uku uila Q he 5 cm i ka ʻaoʻao o ka uku P.
Uila uila 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
ʻO ka ikaika uila ma waena o nā uku uila P a me Q :
Inā hoʻoneʻe ʻia ka uku ma Q i ka hema ma 5 kenimika, lilo ka mamao ma waena o nā uku ʻelua i 5 kenimika = 0,05 mika = 5 x 10 -2 mika
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
ʻO C ka pane pololei.
5. E nānā i ke kiʻi ma lalo nei o nā uku uila. ʻO ka ikaika uila i ʻike ʻia e ka uku q B he 8 N (1 µC = 10 -6 C) a me (k = 9.10 9 Nm 2 .C -2 ). Inā hoʻoneʻe ʻia ka uku q B i 4 cm mai A, a laila ʻo ka ikaika uila i ʻike ʻia e q B i kēia manawa…
A. 2 N
B. 4 N
C. 6 N
D. 8 N
E. 10 N
Pahana
Ua ʻike ʻia :
ʻO ka mamao ma waena o nā uku A a me B (r AB ) = 2 kenimika = 0,02 m = 2 x 10 -2 m
ʻO ka ikaika uila ma waena o nā uku A a me B (F) = 8 N
Uku uila A (q A ) = 2 µC = 2 x 10 -6 C
Paʻa (k) = 9 x 10 9 Nm 2 .C -2
Nīnau : ʻO ka ikaika uila ma waena o nā uku A a me B inā he 4 kenimika ka mamao ma waena o nā uku ʻelua
Pane :
E helu mua i ka uku uila B, ma hope o kēlā e helu i ka ikaika uila ma waena o nā uku uila ʻelua inā ʻo ka mamao ma waena o nā uku uila ʻelua he 4 kenimika = 0,04 mika = 4 x 10 -2 mika.
Uila uila 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
ʻO ka ikaika uila ma waena o nā uku A a me 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
ʻO A ka pane pololei.
6. ʻEkolu mau uku uila i kau ʻia ma nā kihi o ka huinakolu ABC me ka lōʻihi o ka ʻaoʻao AB = BC = 20 cm a me ka nui like o ka uku (q = 2µC) e like me ke kiʻi ma ka ʻaoʻao (k = 9.10 9 Nm 2 .C -2 , 1 µ = 10 -6 ). ʻO ka nui o ka ikaika uila e hana ana ma ke kiko B ʻo….
A. 0,9√3 N
B. 0,9√2 N
C. 0,9 N
D. 0,81 N
E. 0,4 N
Pahana
Ua ʻike ʻia:
Hoʻouka ma ke kiko A (q A ) = 2 µC = 2 x 10 -6 Coulomb
Hoʻouka ma ke kiko B (q B ) = 2 µC = 2 x 10 -6 Coulomb
Hoʻouka ma ke kiko C (q C ) = 2 µC = 2 x 10 -6 Coulomb
Ka mamao o B a i C (r BC ) = 20 kenimika = 0,2 mika = 2 x 10 -1 mika
Ka mamao o B a i A (r BA ) = 20 kenimika = 0,2 mika = 2 x 10 -1 mika
k = 9.10 9 Nm 2 .C -2
Nīnau: ʻO ka nui o ka ikaika uila e hana ana ma ke kiko B
Pane:
ʻO ka ikaika uila ma waena o nā uku ma nā kiko B a me 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
He maikaʻi ka hoʻouku uila ma nā kiko B a me C, no laila ʻo ke kuhikuhi o ka ikaika uila F BC aia ma ka hema, mai ke kiko C aku.
ʻO ka ikaika uila ma waena o nā uku ma nā kiko B a me 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
He maikaʻi ka hoʻouku uila ma nā kiko B a me A, no laila ke kuhikuhi o ka ikaika uila F BA e iho ana i lalo, mai ke kiko A aku.
Hoʻokumu nā mana uila ʻelua i kahi kihi ʻākau, no laila ua helu ʻia ka hopena o ka mana uila e hana ana ma ke kiko B me ka hoʻohana ʻana i ke ʻano Pythagorean.
ʻO ka pane pololei ʻo B.
7. E nānā i ke kiʻi ma lalo nei!
ʻEkolu mau uku Q 1 , Q 2 , a me Q 3 e kau ana ma nā wēlau o kahi huinakolu ʻākau ABC. ʻO ka lōʻihi o AB = BC = 30 kenimika. Hāʻawi ʻia ʻo k = 9.10 9 Nm 2 .C -2 a me 1 µ = 10 -6 a laila ʻo ka hopena o ka ikaika Coulomb ma ka uku Q 1 ʻo….
A. 1 N
B. 5 N
C. 7 N
D. 10 N
E. 12 N
Pahana
Ua ʻike ʻia:
Hoʻouka ma ke kiko A (q A ) = 3 µC = 3 x 10 -6 Coulomb
Hoʻouka ma ke kiko B (q B ) = -10 µC = -10 x 10 -6 Coulomb
Hoʻouka ma ke kiko C (q C ) = 4 µC = 4 x 10 -6 Coulomb
Ka mamao o B a i C (r BC ) = 30 kenimika = 0,3 mika = 3 x 10 -1 mika
Ka mamao o B a i A (r BA ) = 30 kenimika = 0,3 mika = 3 x 10 -1 mika
k = 9.10 9 Nm 2 .C -2
Nīnau: Ka hopena o ka ikaika Coulomb ma ke kiko B
Pane:
ʻO ka ikaika uila ma waena o nā uku ma nā kiko B a me 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
He maikaʻi ʻole ka hoʻouku uila ma ke kiko B a he maikaʻi ka hoʻouku uila ma ke kiko C, no laila ke kuhikuhi o ka ikaika uila F BC aia ma ka ʻākau i ke kiko C.
ʻO ka ikaika uila ma waena o nā uku ma nā kiko B a me 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
He maikaʻi ʻole ka hoʻouku uila ma ke kiko B a he maikaʻi ka hoʻouku uila ma ke kiko A, no laila ke kuhikuhi o ka ikaika uila F BA e piʻi ana i luna i ke kiko A.
Hoʻokumu nā mana uila ʻelua i kahi kihi ʻākau, no laila ua helu ʻia ka hopena o ka mana uila e hana ana ma ke kiko B me ka hoʻohana ʻana i ke ʻano Pythagorean.
ʻO ka pane pololei ʻo B.
8. ʻEkolu mau uku uila i kau ʻia ma nā kihi o ka huinakolu ABC me ka lōʻihi o ka ʻaoʻao AB = BC = 20 cm a me ka nui o ka uku like (q = 2µC) e like me ke kiʻi ma ka ʻaoʻao (k = 9.109 Nm2.C-2, 1 µ = 10-6). Ka nui o ka ikaika uila 
ʻO ka hana ma ke kiko B ʻo ia….
- 0,9√3 N
- 0,9√2 N
- 0,9 N
- 0,81 N
- 0,4 N
Pahana
Ua ʻike ʻia:
ʻO ka uku ma ke kiko A (qA) = 2 µC = 2 x 10-6 ʻO Coulomb
ʻO ka uku ma ke kiko B (qB) = 2 µC = 2 x 10-6 ʻO Coulomb
ʻO ka uku ma ke kiko C (qC) = 2 µC = 2 x 10-6 ʻO Coulomb
Ka mamao mai B a i C (rBC) = 20 kenimika = 0,2 mika = 2 x 10-1 mika
Ka mamao mai B a i A (rBA) = 20 kenimika = 0,2 mika = 2 x 10-1 mika
k = 9.109 Nm2.C-2
Ua nīnau ʻia: ʻO ka nui o ka ikaika uila e hana ana ma ke kiko B
Pane:
ʻO ka ikaika uila ma waena o nā uku ma nā kiko B a me 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 = 9x10-1
FBC = 0,9 Newton
He maikaʻi ka uku uila ma nā kiko B a me C, no laila ʻo ke kuhikuhi o ka ikaika uila F ʻo iaBC i ka hema, mai ke kiko C.
ʻO ka ikaika uila ma waena o nā uku ma nā kiko B a me 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 = 9x10-1
FBA = 0,9 Newton
He maikaʻi ka uku uila ma nā kiko B a me A, no laila ʻo ke kuhikuhi o ka ikaika uila F ʻo iaBA i lalo, mai kahi A.
Hoʻokumu nā mana uila ʻelua i kahi kihi ʻākau, no laila ua helu ʻia ka hopena o ka mana uila e hana ana ma ke kiko B me ka hoʻohana ʻana i ke ʻano Pythagorean.
ʻO ka pane pololei ʻo B.
9. E nānā i ke kiʻi ma lalo nei!
ʻEkolu mau uku Q1,Q2, a me Q3 aia ma ka piko o ka huinakolu ʻākau ABC. ʻO ka lōʻihi o AB = BC = 30 kenimika. Ua ʻike ʻia kēlā 
k = 9.109 Nm2.C-2 a me 1 µ = 10-6 a laila ka hopena o ka ikaika Coulomb ma ka hoʻopiʻi Q1 ʻo ia….
- 1 N
- 5 N
- 7 N
- 10 N
- 12 N
Pahana
Ua ʻike ʻia:
ʻO ka uku ma ke kiko A (qA) = 3 µC = 3 x 10-6 ʻO Coulomb
ʻO ka uku ma ke kiko B (qB) = -10 µC = -10 x 10-6 ʻO Coulomb
ʻO ka uku ma ke kiko C (qC) = 4 µC = 4 x 10-6 ʻO Coulomb
Ka mamao mai B a i C (rBC) = 30 kenimika = 0,3 mika = 3 x 10-1 mika
Ka mamao mai B a i A (rBA) = 30 kenimika = 0,3 mika = 3 x 10-1 mika
k = 9.109 Nm2.C-2
Ua nīnau ʻia: Ka hopena o ka ikaika Coulomb ma ke kiko B
Pane:
ʻO ka ikaika uila ma waena o nā uku ma nā kiko B a me 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 = 40x10-1
FBC = 4 Newton
He maikaʻi ʻole ka uku uila ma ke kiko B a he maikaʻi ka uku uila ma ke kiko C, no laila ʻo ke kuhikuhi o ka ikaika uila FBC i ka ʻākau e kū pono ana i ka kiko C.
ʻO ka ikaika uila ma waena o nā uku ma nā kiko B a me 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 = 30x10-1
FBA = 3 Newton
He maikaʻi ʻole ka uku uila ma ke kiko B a he maikaʻi ka uku uila ma ke kiko A, no laila ʻo ke kuhikuhi o ka ikaika uila FBA a hiki i kahi A.
Hoʻokumu nā mana uila ʻelua i kahi kihi ʻākau, no laila ua helu ʻia ka hopena o ka mana uila e hana ana ma ke kiko B me ka hoʻohana ʻana i ke ʻano Pythagorean.
ʻO ka pane pololei ʻo B.
Puna nīnau:
Nā Nīnau Hoʻokolohua Lahui no ke Kino no ke Kula Kiʻekiʻe/Kula Kiʻekiʻe ʻOihana
