Ka ikaika electrostatic - nā pilikia a me nā hoʻonā
1. Inā he 144 N ka ikaika uila paʻa , he aha ka mamao ma waena o nā uku ʻelua ... (1 μC = 10 -6 C a me k = 9.10 9 Nm 2 .C -2 )
ʻIke ʻia:
Ka ikaika uila (F 12 ) = 144 N
Hoʻouka 1 (q 1 ) = 10 μC = 10 x 10 -6 C
Hoʻouka 2 (q 2 ) = 4 μC = 4 x 10 -6 C
Paʻa (k) = 9 x 10 9 Nm 2 .C -2
C = Coulomb, N = Newton, m = mika
Makemake ʻia: Ka mamao ma waena o nā uku ʻelua (r)
Lōlā:
ʻO ke kaulike o ke kānāwai o Coulomb :
ʻO F = ka ikaika uila paʻa, k = ke kūpaʻa o Coulomb, q = ka hoʻouku uila, r = ka mamao ma waena o nā hoʻouku ʻelua
Ka mamao ma waena o nā uku ʻelua (r) = 5 x 10 -2 mika = 5 x 10 -2 x 10 2 kenimika = 5 kenimika.
2. ʻElua mau uku i hoʻokaʻawale ʻia e ka mamao o r . Inā he 3.6 N ka ikaika uila paʻa, he aha ka mamao ma waena o nā uku ʻelua (1 μC = 10 -6 C a me k = 9.10 9 Nm².C -2 )
ʻIke ʻia:
Ka ikaika uila (F 12 ) = 3.6 N
Hoʻouka 1 (q 1 ) = 9 μC = 9 x 10 -6 C
Hoʻouka 2 (q 2 ) = 4 μC = 4 x 10 -6 C
ʻO ke kūpaʻa o Coulomb (k) = 9 x 10 9 Nm 2 .C -2
C = Coulomb, N = Newton, m = mika
Makemake ʻia: Ka mamao ma waena o nā uku ʻelua (r)
Lōlā:
Ka mamao ma waena o nā uku ʻelua (r) = 0.3 m = 0.3 x 100 kenimika = 30 kenimika.
3. ʻEkolu mau kiko hoʻopiʻi e like me ka mea i hōʻike ʻia ma ke kiʻi ma lalo nei. He aha ka nui o ka ikaika uila paʻa ma ke kiko A (k = 9.10 9 Nm 2 .C -2 ; 1 μ = 10 -6 )
ʻIke ʻia:
kauoha ʻA (qA) = -2 μC = -2 x 10-6 C
Hoʻouka B (q B ) = 8 μC = 8 x 10 -6 C
Hoʻouka C (q C ) = 4,5 μC = 4,5 x 10 -6 C
ʻO ke kūpaʻa o Coulomb (k) = 9 x 10 9 Nm 2 .C -2
Ka mamao ma waena o nā uku A a me B (r AB ) = 4 kenimika = 4 x 10 -2 m
Ka mamao ma waena o nā uku A a me C (r AC ) = 3 kenimika = 3 x 10 -2 m
C = Coulomb, N = Newton, m = mika
Makemake ʻia: ʻO ka ikaika uila paʻa ma ke kiko A
Lōlā:
ʻO ke kaulike o ke kānāwai o Coulomb:
ʻO F = ka ikaika uila paʻa , k = ke kūpaʻa o Coulomb , q = ka hoʻouku uila , r = ka mamao ma waena o nā hoʻouku ʻelua
ʻO ka ikaika uila paʻa ma ke kiko A:
4. Nā uku ʻekolu-kiko e like me ka mea i hōʻike ʻia ma ke kiʻi ma lalo nei. He aha ka nui o ka ikaika Coulomb i ʻike ʻia e ka Uku B (k = 9.10 9 Nm 2 .C -2 ; 1 μC = 10 -6 C ).
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 m
r BC = 0.1 mika = 10 -1 m
k = 9 x 10 9 Nm 2 C −2
Makemake ʻia: Ka ikaika Coulomb i ʻike ʻia e ka Charge B
Lōlā:
Aia ʻelua mau mana coulomb e hana ana ma ka hoʻopiʻi B, ʻo 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 mana upena o F AB a me F BC.
Ka ikaika Coulomb ma waena o nā uku A a me B:
Ua kau inoa ʻo Ukana A i ka maikaʻi a ua kau inoa ʻo Ukana B i ka maikaʻi i kuhikuhi ai ʻo F AB i ka ukukana C.
Ka ikaika Coulomb ma waena o nā uku B a me C:
Ua kau inoa ʻo Ukana B i ka maikaʻi a ua kau inoa ʻo Ukana C i ka maikaʻi i kuhikuhi ai ʻo F BC i ka ukukana A.
Ka ikaika Coulomb i ʻike ʻia e ka hoʻopiʻi B:
F B = F BC – F AB = 180 – 90 = 90 N
ʻO 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 e kuhikuhi ana i ka uku A.
5. E hoʻoholo i ka nui a me ke kuhikuhi o ka ikaika Coulomb ma ka uku B ( k = 9 x 10 9 Nm 2 C −2 , 1 μC = 10 −6 C).
ʻIke ʻia:
Hoʻouku A (q A ) = +Q
Hoʻopiʻi B (q B ) = -2Q
Hoʻouku C (q C ) = -Q
Ka mamao ma waena o nā uku A a me B (r AB ) = r
Ka mamao ma waena o nā uku B a me C (r BC ) = 2r
k = 9 x 10 9 Nm 2 C −2
Makemake ʻia: Ka nui a me ke kuhikuhi o ka ikaika Coulomb ma ka hoʻopiʻi B
Lōlā:
Ka ikaika Coulomb ma waena o nā uku A a me B:
He maikaʻi ka hoʻouku A a he maikaʻi ʻole ka hoʻouku B i ʻole e kuhikuhi ke kuhikuhi o F AB i ka hoʻouku A.
Ka ikaika Coulomb ma waena o ka uku B a me ka uku C:
He maikaʻi ʻole ka hoʻouku B a he maikaʻi ʻole ka hoʻouku C i kuhikuhi ai ke kuhikuhi o F BC i ka hoʻouku A.
Hana ikaika ʻupena ma ka hoʻopiʻi B:
F = FAB +FBC = 2 k Q2/r2 + 0.5 k Q2/r2 = 2.5 k Q2/r2 = 2.5 k Q2 r-2
E kuhikuhi ana ke kuhikuhi o ka ikaika i ka hoʻouka kaua A a i ʻole i ka hema.
