Nā nīnau hoʻohālike no ke kānāwai o Coulomb

10 mau laʻana o ke kānāwai o Coulomb

1. Ua hoʻonohonoho ʻia ʻelua mau uku e like me ka mea i hōʻike ʻia ma ke kiʻi ma lalo nei. ʻO ka uku ma A he +8 micro Coulombs a ʻo ka uku ma B he -5 micro Coulombs. ʻO ka nui o ka ikaika Coulomb e hana ana ma nā uku ʻelua he… (k = 9 x 10 ⁹ Nm ² C ⁻² , 1 micro Coulombs = 10 ⁻⁶ C)

Pahana
Ua ʻike ʻia :

Ua nīnau ʻia : Ka nui o ka ikaika uila e hana ana ma nā uku ʻelua
Pane :

ʻO ke ʻano hana o ke kānāwai o Coulomb :

ʻO ka nui o ka ikaika uila e hana ana ma nā uku ʻelua:

2. Hoʻokaʻawale ʻia ka uku uila P = +10 micro Coulombs a me ka uku uila Q = +20 micro Coulombs e like me ka mea i hōʻike ʻia ma ke kiʻi. ʻO ka nui o ka ikaika Coulomb e hana ana ma nā uku ʻelua…

Pahana
Ua ʻike ʻia :

Ua nīnau ʻia : Ka nui o ka ikaika Coulomb e hana ana ma nā uku ʻelua
Pane :

ʻO ka nui o ka ikaika Coulomb a i ʻole ka ikaika uila e hana ana ma nā uku ʻelua he 125 Newtons.

3. Ua kau ʻia ʻekolu mau uku uila ma kahi kaʻawale e like me ka mea i hōʻike ʻia ma ke kiʻi! ʻO ke uku A = -5 micro Coulombs, ʻo ke uku B = +10 micro Coulombs, a ʻo ke uku C = -12 micro Coulombs. ʻO ka nui a me ke kuhikuhi o ka ikaika uila ma ka uku B…

Pahana
Ua ʻike ʻia :

Ua nīnau ʻia : Ka nui a me ke kuhikuhi o ka ikaika uila ma luna o ka uku B
Pane :
ʻO ka ikaika uila ma ka hoʻouku B ka hopena o ka ikaika uila ma waena o nā hoʻouku A a me B a me ka ikaika uila ma waena o nā hoʻouku B a me C.
ʻO ka ikaika uila ma waena o nā uku A a me B :

He maikaʻi ʻole ka hoʻouku A a he maikaʻi ka hoʻouku B no laila ke kuhikuhi o ka ikaika Coulomb e pili ana i ka hoʻouku A a mamao aku mai ka hoʻouku B (i ka hema).
ʻO ka ikaika uila ma waena o nā uku B a me C :

He maikaʻi ka hoʻouku B a he maikaʻi ʻole ka hoʻouku C no laila ke kuhikuhi o ka ikaika Coulomb e pili ana i ka hoʻouku C a mamao aku mai ka hoʻouku B (i ka ʻākau).
Ka hopena o ka ikaika uila ma ka hoʻopiʻi B :
Kuhikuhi F_AB i ka hema a me ke kuhikuhi F_BC i ka ʻākau.
F_B =F_AB - F_BC = 675 N – 125 N = 550 Newtons.
ʻO ke kuhikuhi o ka ikaika uila hopena ma luna o ka uku B (F_B) = ke kuhikuhi o ka ikaika uila F_AB, ʻo ia hoʻi i ka hoʻopiʻi C (ma ka ʻākau).

4. Ua hoʻokaʻawale ʻia nā uku uila +Q ₁ = 10 micro Coulombs, +Q ₂ = 50 micro Coulombs a me Q ₃ e like me ka mea i hōʻike ʻia ma ke kiʻi. No laila, ʻo ka ikaika uila e hana ana ma ka uku Q ₂ = zero a laila ʻo ka uku Q ₃ …

Pahana
Ua ʻike ʻia :
Hoʻouka 1 (q₁) = +10 μC = +10 x 10^-6 ʻO Coulomb
Hoʻouka 2 (q₂) = +50 μC = +50 x 10^-6 ʻO Coulomb
ʻO ka mamao ma waena o nā uku 1 a me 2 (r₁₂) = 2 kenimika = 0,02 m = 2 x 10^-2 m
ʻO ka mamao ma waena o nā uku 2 a me 3 (r₂₃) = 6 kenimika = 0,06 m = 6 x 10^-2 m
ʻO ka hopena o ka ikaika uila ma luna o ka hoʻopiʻi 2 (F₂) = 0
Ua nīnau ʻia : hoʻouka 3 (q₃)
Pane :
ʻO ka ikaika uila ma ka hoʻouku 2 ka hopena o ka ikaika uila ma waena o nā hoʻouku 1 a me 2 me ka ikaika uila ma waena o nā hoʻouku 2 a me 3.
ʻO ka ikaika uila ma waena o nā uku 1 a me 2 :

He maikaʻi ka uku 1 a he maikaʻi ka uku 2 no laila ʻo ke kuhikuhi ʻo F₁₂ e pili ana i ka hoʻopiʻi 3 (ma ka ʻākau).
ʻO ka ikaika uila ma waena o nā uku 2 a me 3 :

He maikaʻi ka uku 2 a he maikaʻi ka uku 3 no laila ʻo ke kuhikuhi ʻo F₂₃ e pili ana i ka hoʻouka kaua 1 (ma ka hema).
Ka hopena o ka ikaika uila ma ka hoʻopiʻi 2 = 0 :
Kuhikuhi F₁₂ i ka ʻākau a me ke kuhikuhi F₂₃ i ka hema.

5. Ma ke kiʻi ma ka ʻaoʻao, ʻo ka ikaika hoʻokuke i ʻike ʻia e nā uku ʻelua he 144 N, no laila ʻo ka mamao ma waena o nā uku ʻelua… (1 μC = 10 ^-6 C a me k = 9.10 ⁹ Nm ² .C ^-2 )

A. 4 kenimika

B. 5 kenimika

C. 8 kenimika

D. 10 kenimika

E. 12 kenimika

Pahana

Ua 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

ʻO ke kūpaʻa Coulomb (k) = 9 x 10 ⁹ Nm ² .C ^-2

C = Coulomb, N = Newton, m = mika

Nīnau: ʻO ka mamao ma waena o nā uku ʻelua (r)

Pane:

ʻO ke ʻano hana o ke kānāwai o Coulomb:

Wehewehe: F = ka ikaika uila, k = ke kūpaʻa o Coulomb, q = ka hoʻouku uila, r = ka mamao ma waena o nā hoʻouku uila ʻelua.

ʻO ka mamao ma waena o nā uku ʻelua (r) = 5 x 10 ^-2 mika = 5 x 10 ^-2 x 10 ² kenimika = 5 kenimika.

ʻO ka pane pololei ʻo B.

6. ʻElua mau uku uila e like me ka mea i hōʻike ʻia ma ke kiʻi ma lalo nei. Inā ʻo ka ikaika Coulomb i ʻike ʻia e nā uku ʻelua he 3,6 N, a laila ʻo ka mamao ma waena o nā uku ʻelua… (1 μC = 10 ^-6 C a me k = 9.10 ⁹ Nm ² .C ^-2 )

A. 30,0 kenimika

B. 27,0 kenimika

C. 9,0 kenimika

D. 3,0 kenimika

E. 0,3 kenimika

E. 12 kenimika

Pahana

Ua 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 Coulomb (k) = 9 x 10 ⁹ Nm ² .C ^-2

C = Coulomb, N = Newton, m = mika

Nīnau: ʻO ka mamao ma waena o nā uku ʻelua (r)

Pane:

ʻO ke ʻano hana o ke kānāwai o Coulomb:

Wehewehe: F = ka ikaika uila, k = ke kūpaʻa o Coulomb, q = ka hoʻouku uila, r = ka mamao ma waena o nā hoʻouku uila ʻelua.

ʻO ka mamao ma waena o nā uku ʻelua (r) = 0,3 mika = 0,3 x 100 kenimika = 30 kenimika.

ʻO A ka pane pololei.

7. Aia nā uku kiko ʻekolu ma nā kihi o kahi huinakolu, e like me ka mea i hōʻike ʻia ma ke kiʻi. ʻO ka nui o ka ikaika Coulomb ma ke kiko A ʻo… (k = 9.10 ⁹ Nm ² .C ^-2 ; 1 μ = 10 ^-6 )

A. 10 N

B. 60 N

C. 90 N

D. 90 √2 N

E. 100 √2 N

Pahana

Ua ʻike ʻia:

Hoʻouku A (q _A ) = -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 Coulomb (k) = 9 x 10 ⁹ Nm ² .C ^-2

ʻO ka mamao ma waena o nā uku A a me B (r _AB ) = 4 kenimika = 4 x 10 ^-2 mika

ʻO ka mamao ma waena o nā uku A a me C (r _AC ) = 3 kenimika = 3 x 10 ^-2 mika

C = Coulomb, N = Newton, m = mika

Nīnau: Ka ikaika uila ma ke kiko A

Pane:

ʻO ke ʻano hana o ke kānāwai o Coulomb:

Wehewehe: F = ka ikaika uila, k = ke kūpaʻa o Coulomb, q = ka hoʻouku uila, r = ka mamao ma waena o nā hoʻouku uila ʻelua.

Ka ikaika uila ma ke kiko A:

Hoʻokumu ʻo F _AB a me F _AC i kahi kihi ʻākau no laila ua helu ʻia ka ikaika hopena me ka hoʻohana ʻana i ke ʻano Pythagorean.

ʻO D ka pane pololei.

8. ʻElua mau mea me ka uku uila Q₁ a me Q₂ ma kahi mamao o r cm, hana ia i kahi ikaika hoʻokuke o 10 N. A laila ka uku Q₁ ua hoʻololi ʻia i lilo ka ikaika e kū mai ana i 40 N. ʻO ke kūpaʻa k = 9 x 10⁹ Nm².C^-2, a laila ka uku Q₁ pono e hoʻoneʻe ʻia e…

A. 1/2 r ka mamao mai Q ₂

B. Hoʻokokoke ka 1/2 r iā Q ₂

C. Neʻe aku ʻo 1 r mai Q ₂

D. 2 r hoʻokokoke aku iā Q ₂

E. Neʻe aku ʻo 2 r mai Q ₂

Pahana

Ua ʻike ʻia:

Ka mamao ma waena o Q ₁ a me Q ₂ = r cm

Ka ikaika hoʻokuke (F) = 10 N

Inā hoʻoneʻe ʻia ka uku Q _{1 , ʻo ka ikaika repulsive (F) = 40 N}

Paʻa (k) = 9 x 10 ⁹ Nm ² .C ^-2

Nīnau: pono e hoʻoneʻe ʻia ka uku Q _{1 e...}

Pane:

Haʻilula mana uila:

F = k Q ₁ Q ₂ / r ²

Ua like ka mamao (r) me ka ikaika (F). ʻO ke ʻano kēia inā ʻoi aku ka ikaika, e liʻiliʻi ka mamao ma waena o nā uku. No laila, pono e hoʻoneʻe ʻia ka uku Q ₁ a kokoke i ka uku Q ₂.

ʻO ka pane pololei ʻo B.

9. Uku uila +q₃ = 20 μC, +q₂ = 10 μC a me q₁ hoʻokaʻawale ʻia e like me ka mea i hōʻike ʻia ma ke kiʻi. No laila, ʻo ka ikaika Coulomb e hana ana ma ka hoʻopiʻi q₂ = ʻole a laila ka uku q₁ ʻo ia…
A. +2 μC
B. –2 μC
C. +5 μC
D. –5 μC
E. +8 μC
Kūkākūkā:
Ua ʻike ʻia :
+q₃ = 20 μC
+q₂ = 10 μC
Ua nīnau ʻia :
q₁ =?
Pane :
Ma ke kau ʻana q₂ ka ikaika hana F₂₃ a me F₂₁, kahi o F₂₃ i kuhikuhi ʻia i ka hema. I hiki ai i ka ikaika hopena e hana ana ma luna o q₂ like me ka ʻole a laila q₁ pono e maikaʻi i hiki ai i ka ikaika F₂₁ e hele ana i ka ʻākau.
Hoʻopiʻi q₁ = +5 μC.
ʻO C ka pane pololei.

10. ʻEkolu mau uku uila +q ₁ = 5 μC, +q ₂ = 10 μC a me +q ₃ = 10 μC aia ma kahi laina. Inā ʻo a = 10 cm a laila ʻo ka nui a me ke kuhikuhi o ka ikaika uila e hana ana ma ka uku q ₂ ʻo ia… (k = 9 x 10 ⁹ Nm ² C ^-2 )

A. 7,5 N i ke kuhikuhi ʻana iā q₁
B. 11,25 N i ke kuhikuhi ʻana iā q₂
C. 15 N i ke kuhikuhi ʻana iā q₁
D. 22,5 N i ke kuhikuhi ʻana iā q₁
E. 78,75 N i ke kuhikuhi ʻana iā q₁
Kūkākūkā:
Ua ʻike ʻia :
q₁= 5 μC, q₂ = 10 μC a me q₃ = 10 μC
a = 0,1 mika

Ua nīnau ʻia :
ʻO ka nui a me ke kuhikuhi o ka hopena o ka ikaika Coulomb ma q₂ ?
Pane :
Aia ʻelua mau mana Coulomb e hana ana ma luna o q₂, ʻo ia hoʻi ʻo F₂₁ a me F₂₃, kahi e kūʻē ai nā kuhikuhi o kēia mau mana ʻelua. q₁ maikaʻi a me q₂ maikaʻi i hiki ai i ka ikaika F₂₁ e hele ana i ka ʻākau (i ka ʻaoʻao o q)₃). q₂ maikaʻi a me q₃ maikaʻi i hiki ai i ka ikaika F₂₃ e hele ana i ka hema (i ka ʻaoʻao o q)₁).

ʻO ka nui o ka ikaika uila i loaʻa = 90 N – 11,25 N = 78,75 N.
Ua like ke kuhikuhi o ka ikaika hopena me ke kuhikuhi o ka ikaika F₂₃, i ka ʻaoʻao o q₁.
ʻO ka pane pololei ʻo E.