20 mau laʻana o nā nīnau uila paʻa
Mana Uila
1. Aia ke kiko A i loko o kahi kahua uila . ʻO ka ikaika o ke kahua uila ma ke kiko A he 0,5 NC -1 . Inā kau ʻia kahi mea me ka uku o 0,25 C ma ke kiko A, a laila he ikaika Coulomb o...
A. 0,125 N
B. 0,25 N
C. 0,35 N
D. 0,40 N
E. 0,70 N
Pahana
Ua ʻike ʻia:
Ka ikaika o ke kahua uila ma ke kiko A = 0,5 NC -1
Ka uku uila ma ke kiko A = 0,25 C
Nīnau: ʻO ka ikaika Coulomb e hana ana ma kahi mea i hoʻopiʻi ʻia me ka uila
Pane:
ʻO ke ʻano hana e hōʻike ana i ka pilina ma waena o ka ikaika uila (F), ke kahua uila (E) a me ka uku uila (q):
F = q E
F = (0,25 C)(0,5 NC -1 )
F = 0,125N
ʻO A ka pane pololei.
2. ʻElua mau uku o 5 C a me 4 C he 3 m ka mamao. Inā k = 9 × 10 9 Nm 2 C –2 , a laila ʻo ka nui o ka ikaika Coulomb i ʻike ʻia e nā uku ʻelua…
A. 2 × 10 9 N
B. 60 × 10 9 N
C. 2 × 10 10 N
D. 6 × 10 10 N
E. 20 × 10 10 N
Pahana
Ua ʻike ʻia:
Hoʻouka 1 (q 1 ) = 5 C
Hoʻouka 2 (q 2 ) = 4 C
ʻO ka mamao ma waena o nā ukana 1 a me 2 (r) = 3 mika.
ʻO ke kūpaʻa Coulomb (k) = 9 × 10 9 Nm 2 C –2
Nīnau: Ka nui o ka ikaika Coulomb (F)
Pane:
ʻO C ka pane pololei.
3. Ua hoʻokaʻawale ʻia nā uku uila +q 1 = 10 μC; +q 2 = 20 μC; a me q 3 e like me ka mea i hōʻike ʻia ma ke kiʻi ma lalo nei. No laila, ʻo ka ikaika Coulomb e hana ana ma ka uku q 2 = zero; a laila ʻo ka uku q 3 …
A. +2,5 μC
B. –2,5 μC
C. +25 μC
D. –25 μC
E. +4 μC
Pahana
Ua ʻike ʻia:
Hoʻouka 1 (q 1 ) = 10 μC = 10 x 10 -6 C
Hoʻouka 2 (q 2 ) = 20 μC = 20 x 10 -6 C
Nīnau: He aha ka uku q 3 i like ai ka ikaika Coulomb e hana ana ma ka uku q 2 me ka ʻole (F 2 = 0).
Pane:
Aia nā mana ʻelua e hana ana ma +q 2.
ʻO ka ikaika mua ka ikaika kipi ma waena o ka hoʻouku +q 1 a me ka hoʻouku +q 2 , ʻo ia hoʻi ʻo F 12 , kahi i kuhikuhi ʻia i ka ʻākau.
I mea e lilo ai ka hopena o ka ikaika uila e hana ana ma q 2 i ʻole, pono e hoʻopiʻi maikaʻi ʻole ʻia ʻo q 3. No laila, ʻo ka lua o ka ikaika ka ikaika hoʻowalewale ma waena o nā uku + q 2 a me -q 3 , ʻo ia hoʻi ʻo F 23, i kuhikuhi ʻia i ka hema. Loaʻa i kēia mau ikaika ʻelua e hana ana ma q 2 ka nui like akā nā kuhikuhi ʻē aʻe.
Ua like ka hopena o ka ikaika ma +q 2 me ka ʻole.
ʻO ka pane pololei ʻo B.
4. Loaʻa i nā kiko A a me B ka uku uila o −10 μC a me +40 μC. I ka wā mua, ua kau ʻia nā uku ʻelua he 0,5 mika ka mamao i hiki ai ke kū mai kahi ikaika Coulomb F Newton. Inā hoʻololi ʻia ka mamao ma waena o A a me B i 1,5 mika, a laila ʻo ka ikaika Coulomb e kū mai ana...
A. 1 / 9 F
B. 1 / 3 F
C. 3 / 2 F
D. 3 F
E. 9 F
Pahana
E hoʻohālikelike i ke kūkākūkā ʻana o ka nīnau helu 9.
Ua hoʻololi ʻia ka mamao ma waena o A a me B i 1,5 mika a i ʻole 3 manawa o ka mamao mua.
Ua like ka ikaika me ka huinahā o ka mamao:
ʻO ka ikaika Coulomb e kū mai ana he 1/9 F.
ʻO A ka pane pololei.
5. Ua kau ʻia kahi ʻōnaehana me 3 mau uku manuahi o ka nui like i kaulike ʻia e like me ka mea i hōʻike ʻia ma ke kiʻi. Inā hoʻoneʻe ʻia ʻo Q 3 i 1/3 x kokoke iā Q 2 , a laila lilo ka lakio o ka nui o ka ikaika Coulomb F 2 : F 1 i….
A. 1 : 3
B. 2 : 3
K. 3 : 4
D. 9 : 1
E. 9 : 4
Pahana
Ua ʻike ʻia :
ʻO ka mamao ma waena o q 1 a me q 2 = x
ʻO ka mamao ma waena o q 2 a me q 3 = 2/3 x
Nīnau ʻia : F 2 : F 1 = …. ?
Pane :
ʻO ke ʻano hana o ke kānāwai o Coulomb:
Wehewehe: k = kūpaʻa, q 1 = uku 1, q 2 = uku 2, r = mamao ma waena o ka uku 1 a me ka uku 2
Hoʻohālikelike ʻana i ka nui o ka ikaika Coulomb
Ua like ʻo q 1 , q 2 a me q 3 no laila ua hoʻopau ʻia lākou mai ka hoohalike. Ua like nō hoʻi ka nui o k a me x 2 a aia ma ka ʻaoʻao hema a me ka ʻākau no laila ua hoʻopau ʻia lākou mai ka hoohalike.
ʻO ka pane pololei ʻo E.
6. E nānā i ke kiʻi ma lalo. Aia nā uku uila ʻekolu q1 , q, a me q2 i loko o kahi laina. Inā ʻo q = 5,0 μC a ʻo d = 30 cm, a laila ʻo ka nui a me ke kuhikuhi o ka ikaika uila e hana ana ma ka uku q… (k = 9 x 109 N m2 C -2 )
A. 7,5 N i ke kuhikuhi ʻana iā q1
B. 7,5 N i ke kuhikuhi ʻana iā q 2
C. 15 N i ke kuhikuhi ʻana iā q 1
D. 22,5 N i ke kuhikuhi ʻana iā q 1
E. 22,5 N i ke kuhikuhi ʻana iā q 2
Pahana
Ua ʻike ʻia:
Hoʻouka 1 (q 1 ) = 30 μC = 30 x 10 -6 C
Hoʻouka 2 (q 2 ) = 60 μC = 60 x 10 -6 C
Hoʻouka 3 (q) = 5 μC = 5 x 10 -6 C
Ka mamao ma waena o q 1 a me q = d
ʻO ka mamao ma waena o q 2 a me q = 2d
d = 30 kenimika = 0,3 mika
d 2 = (0,3) 2 = 0,09
ʻO ke kūpaʻa o Coulomb (k) = 9 x 10 9 N m 2 C -2
Nīnau: ʻO ka nui a me ke kuhikuhi o ka ikaika uila e hana ana ma luna o kahi uku uila
Pane:
Aia ʻelua mau mana e hana ana ma luna o q, ʻo ia hoʻi ʻo F 1 ma ka ʻākau ( ua hoʻopiʻi maikaʻi ʻia ʻo q a me q 1 no laila ua mamao ʻo F 1 mai q a me q 1 ) a aia ʻo F 2 ma ka hema ( ua hoʻopiʻi maikaʻi ʻia ʻo q a me q 2 no laila ua mamao ʻo F 2 mai q a me q 2 ). E helu mua iā F 1 a me F 2.
Ka ikaika hopena:
Σ F = 15 – 7,5 = 7,5
ʻO ka hopena o ka ikaika he 7,5 Newtons. Ua like kona kuhikuhi me F 1 , ʻo ia hoʻi i ka ʻākau i q 2.
ʻO ka pane pololei ʻo B.
Kahua Uila
7. Aia kahi kiko uku q ma kahi P i loko o kahi kahua uila i hana ʻia e kahi uku (+) i ʻike ai i kahi ikaika o 0,05 N ma ke kuhikuhi e pili ana i ka uku. Inā ʻo ka ikaika o ke kahua ma kahi P he 2 x 10 –2 NC –1 , a laila ʻo ka nui a me ke ʻano o ka uku e hana ai i ke kahua…
A. 5,0 C, maikaʻi
B. 5,0 C, maikaʻi ʻole
C. 3,0 C, maikaʻi
D. 2,5 C, maikaʻi ʻole
E. 2,5 C, maikaʻi
Pahana
Ua ʻike ʻia:
Ka ikaika uila (F) = 0,05 N
Ka ikaika o ke kahua uila (E) = 2 x 10 –2 NC –1 = 0,02 NC –1
Nīnau ʻia: ʻO ka nui a me ke ʻano o ka uku e hana ai i ke kahua
Pane:
Ua helu ʻia ka uku uila me ka hoʻohana ʻana i kahi ʻano hana e hōʻike ana i ka pilina ma waena o ka ikaika uila (F), ke kahua uila (E) a me ka uku uila (q):
F = q E
q = F / E = 0,05 N / 0,02 NC –1 = 2,5 Coulombs
Loaʻa i ka hoʻouku q kahi ikaika uila ma ke kuhikuhi e pili ana i ka hoʻouku (+) e hana ana i kahi kahua uila, no laila he hōʻailona maikaʻi ʻole ka hoʻouku q.
ʻO D ka pane pololei.
8. ʻO ka mamao ma waena o nā uku ʻelua A a me B he 4 m. Aia ke kiko C ma waena o nā uku ʻelua, 1 m mai A. Inā ʻo Q A = –300 μC, ʻo Q B = 600 μC. 1/4 π ε 0 = 9 × 10 9 N m 2 C –2 , a laila ʻo ka ikaika o ke kahua uila ma ke kiko C ma muli o ka mana o nā uku ʻelua…
A. 9 × 10 5 NC –1
B. 18 × 10 5 NC –1
C. 33 × 10 5 NC –1
D. 45 × 10 5 NC –1
E. 54 × 10 5 NC –1
Pahana
Ua ʻike ʻia:
ʻO ka mamao ma waena o nā ukana A a me B (r AB ) = 4 mika
ʻO ka mamao ma waena o ke kiko C a me ka uku hoʻouku A (r AC ) = 1 mika
ʻO ka mamao ma waena o ke kiko C a me ka uku B (r BC ) = 3 mika
Hoʻouka A (q A ) = –300 μC = -300 x 10 -6 C = -3 x 10 -4 Coulomb
Hoʻouka B (q B ) = 600 μC = 600 x 10 -6 C = 6 x 10 -4 Coulomb
Paʻa (k) = 9 × 10 9 N m 2 C –2
Nīnau: ka ikaika o ke kahua uila ma ke kiko C
Pane:
ʻO ke kahua uila i hana ʻia e ka uku A ma ke kiko C:
He maikaʻi ʻole ka hoʻouku A no laila ke kuhikuhi o ke kahua uila e pili ana i ka hoʻouku A a mamao aku mai ka hoʻouku B (i ka hema).
ʻO ke kahua uila i hana ʻia e ka uku B ma ke kiko C:
He maikaʻi ka hoʻouku uila B no laila ua mamao aku ke kuhikuhi o ke kahua uila mai ka hoʻouku uila B a i ka hoʻouku uila A (ma ka hema).
Ka hopena o ke kahua uila ma ke kiko A:
Aia ʻo E A a me E B ma ke kuhikuhi like no laila ua hoʻohui ʻia lāua.
E = EA + EB
E = (27 x 105 ) + (6 x 105 )
E = 33 x 105 N /C
ʻO ke kuhikuhi o ke kahua uila e kū pono ana i ka uku A a mamao aku mai ka uku B (i ka hema).
ʻO C ka pane pololei.
9. Hiki i kahi hua lepo e kaupaona ana he 1 milligram ke lana i ka lewa ma muli o ke kahua uila e paʻa ana i ka lepo. Inā he 0,5 μC ka uku o ka lepo a he 10 m/s2 ka wikiwiki ma muli o ke koʻikoʻi , e hoʻoholo i ka nui o ke kahua uila e hiki ke paʻa i ka lepo.
A. 5 N/C
B. 10 N/C
C. 20 N/C
D. 25 N/C
E. 40 N/C
Pahana
Ua ʻike ʻia:
Ka nui o ka lepo (m) = 1 milikalama = 1 x 10 -6 kg
Ka uku lepo (q) = 0,5 μC = 0,5 x 10 -6 C
Ka wikiwiki ma muli o ke koʻikoʻi (g) = 10 m/s 2
Nīnau: ʻO ka ikaika o ke kahua uila e paʻa ana i ka lepo
Pane:
Haʻilula kaumaha:
w = mg
Wehewehe: w = ke kaumaha o ka lepo, m = ka nui o ka lepo, g = ka wikiwiki ma muli o ke koʻikoʻi
Hoʻomaulia ʻia ka ikaika umekaumaha e hana ana ma ka lepo a i ʻole ke kaumaha o ka lepo me ka hoʻohana ʻana i ke ʻano kaumaha:
w = mg = (1 x 10 -6 kg)(10 m/s 2 ) = 10 x 10 -6 kg m/s 2 = 10 x 10 -6 Newtons
ʻO ke ʻano hana ikaika o ke kahua uila:
E = F/q
Wehewehe: E = ikaika o ke kahua uila, F = ikaika uila, q = uku uila
Lana ka lepo i ka lewa, no laila pono ka ikaika hopena e hana ana ma ka lepo he ʻole. Kuhikuhi ʻia ke koʻikoʻi o ka lepo i lalo, no laila pono e kuhikuhi ʻia ka ikaika uila i luna, a pono e like ka nui o ke koʻikoʻi o ka lepo me ka nui o ka ikaika uila, i ʻole ai ka ikaika hopena ma ka lepo he ʻole. No laila, hiki ke pani ʻia ʻo F ma ke ʻano ikaika o ke kahua uila e w ma ke ʻano kaumaha.
E = F/q = w/q
E = (10 x 10 -6 N) / (0,5 x 10 -6 C)
E = 10 N / 0,5 C
E = 20 N/C
ʻO C ka pane pololei.
10. ʻElua mau uku uila, ʻo q 1 = 32 μC a me q 2 = -214 μC, ua hoʻokaʻawale ʻia e kahi mamao x mai kekahi i kekahi e like me ka mea i hōʻike ʻia ma ke kiʻi ma luna. Inā ma kahi p, ʻo ia hoʻi he 10 cm mai q 2, ʻo ka ikaika o ke kahua uila i loaʻa he ʻole. A laila ʻo ka nui o x….
A. 20 kenimika
B. 30 kenimika
C. 40 kenimika
D. 50 kenimika
E. 60 kenimika
Pahana
Ua ʻike ʻia:
Hoʻouka 1 (Q 1 ) = 32 μC
Hoʻouka 2 (Q 2 ) = -214 μC
Ka mamao o ke kiko p mai q 1 = x + 10 kenimika
Ka mamao o ke kiko p mai q 2 = 10 kenimika
Nīnau ʻia: x
Pane:
ʻO E 1 ke kahua uila i hoʻoulu ʻia e ka uku Q 1. ʻO ke kuhikuhi o ke kahua uila ua mamao aku ia mai Q 1 no ka mea ua hoʻopiʻi maikaʻi ʻia ʻo Q 1. ʻO E 2 ke kahua uila i hoʻoulu ʻia e ka uku Q 2. ʻO ke kuhikuhi o ke kahua uila ua kuhikuhi iā Q 2 no ka mea ua hoʻopiʻi maikaʻi ʻole ʻia ʻo Q 2.
Ma ke kiko p he 10 cm mai Q 2 , ʻo ka hopena o ka ikaika o ke kahua uila he ʻole.
E hoʻohana i ke ʻano ABC:
11. Aia kahi kiko me ka uku q ma kahi P i loko o kahi kahua uila i hana ʻia e kahi uku (+), i ʻike ai i kahi ikaika o 0,05 N. Inā ʻo ka nui o ka uku he +5 × l0 –6 Coulomb, a laila ʻo ka nui o ke kahua uila ma kahi P…
A. 2,5 × 10 3 NC –1
B. 3.0 × 10 3 NC –1
C. 4,5 × l0 3 NC –1
D. 8,0 × 10 3 NC –1
E. 10 4 NC –1
Pahana
Ua ʻike ʻia:
Ka ikaika uila (F) = 0,05 Newton
Uku uila (Q) = +5 × l0 –6 Coulomb = 0,000005
Nīnau: He aha ka nui o ke kahua uila ma ke kiko P?
Pane:
ʻO ke ʻano hana e hōʻike ana i ka pilina ma waena o ke kahua uila, ka ikaika uila a me ka uku uila:
E = F / Q
E = 0,05 Newton / 0,000005 Coulomb
E = 5 Newton / 0,0005 Coulomb
E = 10.000 Newton/Coulomb
E = 10 4 N/C
E = 10 4 NC -1
ʻO ka pane pololei ʻo E.
12. Ua hoʻonohonoho ʻia ʻekolu mau uku e like me ka mea i hōʻike ʻia ma ke kiʻi ma lalo nei. ʻO ka ikaika Coulomb i ʻike ʻia e ka uku B ʻo ia …. (k = 9 x 10 9 Nm 2 C −2 , 1 μC = 10 −6 C)
A. 09 x 101 Hoʻopiʻi N a i C
B. 09 x 101 N e hoʻopiʻi iā A
C. 18 x 101 Hoʻopiʻi N a i C
D. 18 x 101 N e hoʻopiʻi iā A
E. 36 x 101 Hoʻopiʻi N a i C
Pahana
Ua ʻike ʻia :
qA = 10 µC = 10 x 10-6 C = 10-5 ʻO Coulomb
qB = 10 µC = 10 x 10-6 = 10-5 ʻO Coulomb
qC = 20 µC = 20 x 10-6 = 2x10-5 ʻO Coulomb
rAB = 0,1 mika = 10-1 mika
rBC = 0,1 mika = 10-1 mika
k = 9 x 109 Nm2C-2
Ua nīnau ʻia : 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 hōʻailona maikaʻi ko ka uku A a he hōʻailona maikaʻi ko ka uku B no laila ʻo FAB e pili ana i ka hoʻopiʻi C.
Ka ikaika Coulomb ma waena o nā uku B a me C:
He maikaʻi ke kumukūʻai B a he maikaʻi ke kumukūʻai C no laila ʻo FBC e pili ana i ke kumukūʻai A.
Ka ikaika Coulomb i ʻike ʻia e ka hoʻopiʻi B:
FB =FBC - FAB = 180 – 90 = 90 N
ʻO ka nui o ka ikaika Coulomb i ʻike ʻia e ka uku B (FB) he 90 Newtons. ʻO ke kuhikuhi o FB like me ke kuhikuhi FBC ʻo ia hoʻi i ka hoʻopiʻi A.
ʻO ka pane pololei ʻo B.
13. 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 Q2 r-2 i ka hema
B. 2,5 k Q2 r-2 i ka ʻākau
C. 2 k Q2 r-2 i ka hema
D. 2 k Q2 r-2 i ka ʻākau
E. 1 k Q2 r-2 i ka hema
Pahana
Ua ʻike ʻia :
Hoʻopiʻi A (qA) = +Q
Hoʻopiʻi B (qB) = -2Q
Hoʻopiʻi C (qC) = -Q
ʻO ka mamao ma waena o nā uku A a me B (rAB) = r
ʻO ka mamao ma waena o nā uku B a me C (rBC) = 2r
k = 9 x 109 Nm2C-2
Ua nīnau ʻia : ka nui a me ke kuhikuhi o ka ikaika Coulomb ma ka uku 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 ʻo ke kuhikuhi ʻo FAB i ka hoʻopiʻi 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 no laila ʻo ke kuhikuhi o FBC i ka hoʻopiʻi A
ʻO ka hopena o ka ikaika e hana ana ma ka uku B:
F = FAB +FBC = 2 k Q2/r2 + 0,5 k Q2/r2 = 2,5 k Q2/r2 = 2,5 k Q2 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.
Kahua Uila
14. E nānā i ke kiʻi o nā hoʻouku kiko ʻelua ma lalo! Aia ma hea ke kiko P i like ai ka ikaika o ke kahua uila ma ke kiko P me ka ʻole? (k = 9 x 109 Nm2C-2, 1 μC = 10-6 C)
A. ma waenakonu pono o Q1 a me Q2
B. 6 kenimika ma ka ʻākau o Q2
C. 6 kenimika ma ka hema o Q1
D. 2 kenimika ma ka ʻākau o Q2
E. 2 kenimika ma ka hema o Q1
Pahana
No ka helu ʻana i ka ikaika o ke kahua uila ma kahi P, e manaʻo he uku hoʻāʻo maikaʻi ma kahi P. Q1 maikaʻi a me Q2 maikaʻi ʻole, no laila pono ke kiko P ma ka ʻākau o Q2 a i ʻole ma ka hema o Q1. Inā aia ke kiko P ma ka hema o Q1; ke kahua uila i hana ʻia ma ke kiko Q1 ma ke kiko P aia ke kuhikuhi i ka hema (mamao aku o Q1) a me ke kahua uila i hana ʻia ʻo Q2 ma ke kiko P ke kuhikuhi i ka ʻākau (i Q)1). No ka mea, ʻokoʻa ke kuhikuhi o ke kahua uila, hoʻopau nā mea ʻelua kekahi i kekahi i mea e lilo ai ka ikaika o ke kahua uila ma ke kiko P i ka ʻole.
Ua ʻike ʻia :
Q1 = +9 μC = +9 x 10-6 C
Q2 = -4 μC = -4 x 10-6 C
k = 9 x 109 Nm2C-2
ʻO ka mamao ma waena o ka uku 1 a me ka uku 2 = 3 kenimika
Ka mamao ma waena o Q1 a me ke kiko P (r1P) = a
Ka mamao ma waena o Q2 a me ke kiko P (r2P) = 3 + a
Ua nīnau ʻia Aia ma hea kahi kiko P i like ai ka ikaika o ke kahua uila ma ke kiko P me ka ʻole?
Pane :
Aia ke kiko P ma ka hema o Q1.
ʻO ke kahua uila i hana ʻia e Q1 ma ke kiko P :
Hoʻouku hoʻāʻo maikaʻi a me Q1 maikaʻi i ʻae ʻia ke kuhikuhi o ke kahua uila i ka hema.
ʻO ke kahua uila i hana ʻia e Q2 ma ke kiko P :
Hoʻouku hoʻāʻo maikaʻi a me Q2 maikaʻi ʻole i ʻākau ke kuhikuhi o ke kahua uila.
Ka hopena o ke kahua uila ma ke kiko A :
E1 a me E2 ʻaoʻao ʻē aʻe.
E1 – ʻE2 = 0
E1 =E2
E hoʻohana i ke ʻano ABC e hoʻoholo ai i ka waiwai o a.
a = -1,25, b = -13,5, c = -20,25
ʻAʻole hiki ke lilo i mea maikaʻi ʻole.
Ka mamao ma waena o Q2 a me ke kiko P (r2P) = 3 + a = 3 – 1,8 = 1,2 kenimika.
Aia ke kiko P ma kahi mamao o 1,2 kenimika ma ka ʻākau o Q.2.
15. E nānā i ke kiʻi ma lalo nei! Hoʻouka q3 ua kau ʻia ma kahi mamao o 5 cm mai q2, a laila ka ikaika o ke kahua uila ma ka hoʻopiʻi q3 ʻo ia… (1 µC = 10-6 C)
A. 4,6 x 107 NC-1
B. 3,6 x 107 NC-1
C. 1,6 x 107 NC-1
D. 1,4 x 107 NC-1
E. 1,3 x 107 NC-1
Pahana
Hoʻopiʻi q3 ua kau ʻia ma kahi mamao o 5 cm mai q2, ʻo ia hoʻi, ʻaʻole ma ka hema o q2 akā ma ka ʻaoʻao ʻākau q2Inā ma ka ʻaoʻao hema q2 a laila ʻo ke kahua uila hopena he ʻole. ʻO kēia no ka mea ʻo ka mamao ma waena o nā uku q3 me ka uku q1 a me q2 he 5 kenimika a ʻo ka nui o ka uku he q1 like me ka hoʻouka q2.
No ka mea he maikaʻi ka uku q 3 , ʻo ke kuhikuhi o ke kahua uila ma ka uku q 3 e kū pono ana i ka uku maikaʻi ʻole q 2 (E 2 ) a mamao aku mai ka uku maikaʻi q 1 (E 1 ). ʻO ke kahua uila hopena ka huina o nā ikaika o ke kahua uila E 1 a me E 2.
Ua ʻike ʻia :
Hoʻopiʻi q1 = 5 µC = 5 x 10-6 ʻO Coulomb
Hoʻopiʻi q2 = 5 µC = -5 x 10-6 ʻO Coulomb
Ka mamao ma waena o nā uku q1 a hoʻopiʻi iā q3 (r1) = 15 kenimika = 0,15 m = 15 x 10-2 mika
Ka mamao ma waena o nā uku q2 a hoʻopiʻi iā q3 (r2) = 5 kenimika = 0,05 m = 5 x 10-2 mika
k = 9 x 109 N m2 C-2
Ua nīnau ʻia : Ka ikaika o ke kahua uila ma ka hoʻopiʻi q3
Pane :
Ikaika kahua uila 1
E1 = kq1 /r12
E1 = (9 x 109)(5 x 10-6) / (15 x 10-2)2
E1 = (45 x 103) / (225 x 10-4)
E1 = 0,2x107 N / C
Ikaika kahua uila 2
E2 = kq2 /r22
E2 = (9 x 109)(5 x 10-6) / (5 x 10-2)2
E2 = (45 x 103) / (25 x 10-4)
E2 = 1,8x107 N / C
Ka hopena o ka ikaika o ke kahua uila
Ka hopena o ka ikaika o ke kahua uila ma ka hoʻopiʻi q3 ʻo ia hoʻi:
ʻE = ʻE2 – ʻE1 = (1,8 x 107)– (0,2 x 107) = 1,6 x 107 N / C
Aia ke kuhikuhi o ke kahua uila i ka hema a i ʻole ma ke kuhikuhi o E2.
ʻO C ka pane pololei.
16. Ua hoʻokaʻawale ʻia ʻelua mau uku uila e like me ka mea i hōʻike ʻia ma ke kiʻi. ʻO ka ikaika o ke kahua ma kahi P he… (k = 9 x 109 N m2 C-2)
A. 9,0 x 109 NC-1
B. 4,5 x 109 NC-1
C. 3,6 x 109 NC-1
D. 5,4 x 109 NC-1
E. 4,5 x 109 NC-1
Pahana
Ua ʻike ʻia :
Hoʻopiʻi qA = +2,5 C
Hoʻopiʻi qB = -2 C
Ka mamao ma waena o nā uku qA a me ke kiko P (rA) = 5 mika
Ka mamao ma waena o nā uku qB a me ke kiko P (rB) = 2 mika
k = 9 x 109 N m2 C-2
Ua nīnau ʻia : Ka ikaika o ke kahua uila ma ke kiko P
Pane :
Ka ikaika o ke kahua uila A
EA = kqA /rA2
EA = (9 x 109)(2,5) / (5)2
EA = (22,5 x 109) / 25
EA = 0,9x109 N / C
Ka ikaika o ke kahua uila B
EB = kqB /rB2
EB = (9 x 109)(2) / (2)2
EB = (18 x 109) / 4
EB = 4,5x109 N / C
Ka hopena o ka ikaika o ke kahua uila
ʻO ka hopena o ka ikaika o ke kahua uila ma kahi P:
ʻE = ʻEB – ʻEA = (4,5 – 0,9) x 109 = 3,6x109 N / C
Aia ke kuhikuhi o ke kahua uila i ka hema a i ʻole ma ke kuhikuhi o EB.
ʻO C ka pane pololei.
17. ʻElua mau uku uila i loaʻa i kēlā me kēia uku Q.1 = -40 µC a me Q2 Aia ʻo = +5 µC ma ke kūlana e like me ka mea i hōʻike ʻia ma ke kiʻi (k = 9 x 109 Nm2.C-2 a me 1 µC = 10-6 C), ʻo ka ikaika o ke kahua uila ma ke kiko P he…
A. 2,25 x 106 NC-1
B. 2,45 x 106 NC-1
C. 5,25 x 106 NC-1
D. 6,75 x 106 NC-1
E. 9,00 x 106 NC-1
Pahana
Ua ʻike ʻia :
Hoʻopiʻi q1 = -40 µC = -40 x 10-6 C
Hoʻopiʻi q2 = +5 µC = +5 x 10-6 C
Ka mamao ma waena o nā uku q1 a me ke kiko P (r1) = 40 kenimika = 0,4 m = 4 x 10-1 m
Ka mamao ma waena o nā uku q2 a me ke kiko P (r2) = 10 kenimika = 0,1 = 1 x 10-1 m
k = 9 x 109 N m2 C-2
Ua nīnau ʻia : Ka ikaika o ke kahua uila ma ke kiko P
Pane :
Ikaika kahua uila 1
E1 = kq1 /r12
E1 = (9 x 109)(40 x 10-6) / (4 x 10-1)2
E1 = (360 x 103) / (16 x 10-2)
E1 = 22,5x105 N / C
Ikaika kahua uila 2
E2 = kq2 /r22
E2 = (9 x 109)(5 x 10-6) / (1 x 10-1)2
E2 = (45 x 103) / 1 x 10-2
E2 = 45x105 N / C
Ka hopena o ka ikaika o ke kahua uila
ʻO ka hopena o ka ikaika o ke kahua uila ma kahi P:
ʻE = ʻE2 – ʻE1 = (45 – 22,5) x 105 = 22,5x105 N / C
E = 2,25 x 106 N / C
Aia ke kuhikuhi o ke kahua uila i ka ʻākau a i ʻole ma ke kuhikuhi o E2.
ʻO A ka pane pololei.
18. 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 hoʻowalewale 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 = 9.109 Nm2.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 :
ʻO ka uku uila ma A (qA) = 8 µC = 8 x 10-6 ʻO Coulomb
ʻO ka ikaika uila ma waena o nā uku ʻelua (F) = 45 Newton
ʻO ka mamao ma waena o nā uku ʻelua (rAB) = 4 kenimika = 0,04 mika = 4 x 10-2 mika
Paʻa (k) = 9 x 109 Nm2.C-2
Ua nīnau ʻia ʻO ka ikaika uila ma waena o nā uku ʻelua inā e hoʻoneʻe ʻia ka uku A i ka ʻākau ma 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.
Uila uila ma B :
ʻO ke ʻano hana o ke kānāwai o Coulomb :
F = k (qA)(qB) / r2
F r2 = k (qA)(qB)
qB = F r2 / k (qA)
Uila uila ma B :
qB = (45)(4 x 10-2)2 / (9 x 109)(8 x 10-6)
qB = (45)(16 x 10-4) / 72 x 103
qB = (720 x 10-4) / (72 x 103)
qB = 10x10-7 ʻO Coulomb
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 (qA)(qB) / 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
ʻO C ka pane pololei.
19. 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 ʻO C a me k = 9 x 109 Nm2.C-2), a laila ʻo ka ikaika uila e kū mai ana he...
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 (rPQ) = 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 (qQ) = 40 µC = 40 x 10-6 C
Paʻa (k) = 9 x 109 Nm2.C-2
Ua nīnau ʻia ʻO ka ikaika uila ma waena o nā uku P a me Q inā e hoʻoneʻe ʻia ka uku Q he 5 kenimika i 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 :
qP = F r2 / k (qQ)
qP = (8)(1 x 10-1)2 / (9 x 109)(40 x 10-6)
qP = (8)(1 x 10-2) / 360 x 103
qP = (8 x 10-2) / (36 x 104)
qP = (1 x 10-2) / (4,5 x 104)
qP = (1/4,5) x 10-6 ʻO 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 (qP)(qQ) / 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
ʻO C ka pane pololei.
20. E nānā i ke kiʻi ma lalo nei o ka uku uila. ʻO ka ikaika uila i ʻike ʻia e ka uku q ʻo iaB ʻo 8 N (1 µC = 10-6 C) a me (k = 9.109 Nm2.C-2). Inā ʻo ka uku qB ua neʻe ʻia i 4 cm mai A, a laila ʻo ka ikaika uila i ʻike ʻia he qB 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 (rAB) = 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
Uila uila A (q)A) = 2 µC = 2 x 10-6 C
Paʻa (k) = 9 x 109 Nm2.C-2
Ua nīnau ʻia 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 cm = 0,04 mika = 4 x 10-2 mika.
Uila uila B :
qB = F r2 / k (qA)
qB = (8)(2 x 10-2)2 / (9 x 109)(2 x 10-6)
qB = (8)(4 x 10-4)/ (18 x 103)
qB = (32 x 10-4) / (18 x 103)
qB = (32/18) x 10-7
qB = (16/9) x 10-7 ʻO Coulomb
ʻO ka ikaika uila ma waena o nā uku A a me B :
F = k (qA)(qB) / 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
ʻO A ka pane pololei.
Puna nīnau:
Nā Nīnau Hoʻokolohua Lahui no ke Kino no ke Kula Kiʻekiʻe/Kula Kiʻekiʻe ʻOihana
