Ƙarfin Electrostatic - Matsaloli da mafita

Ƙarfin Electrostatic - Matsaloli da mafita

1. Idan ƙarfin wutar lantarki mai tsauri shine 144 N, menene tazara tsakanin caji biyu ... (1 μC = 10 -6 C da k = 9.10 9 Nm 2 .C -2 )

Ƙarfin lantarki - matsaloli da mafita 1

An sani:

Ƙarfin wutar lantarki (F 12 ) = 144 N

Caji 1 (q 1 ) = 10 μC = 10 x 10 -6 C

Caji 2 (q 2 ) = 4 μC = 4 x 10 -6 C

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

C = Coulomb, N = Newton, m = mita

Ana nema: Nisa tsakanin caji biyu (r)

Magani:

Daidaiton dokar Coulomb :

Ƙarfin lantarki - matsaloli da mafita 2

F = ƙarfin lantarki mai tsauri, k = Madaidaitan Coulomb, q = cajin lantarki, r = tazara tsakanin caji biyu

Ƙarfin lantarki - matsaloli da mafita 3

Nisa tsakanin caji biyu (r) = mita 5 x 10 -2 = mita 5 x 10 -2 x 10 2 cm = 5 cm.

2. Caji biyu da nisan r ya raba . Idan ƙarfin lantarki mai tsauri shine 3.6 N, menene nisan da ke tsakanin caji biyu (1 μC = 10 -6 C da k = 9.10 9 Nm 2 .C -2 )

Ƙarfin lantarki - matsaloli da mafita 4

An sani:

Ƙarfin wutar lantarki (F 12 ) = 3.6 N

Caji 1 (q 1 ) = 9 μC = 9 x 10 -6 C

Caji 2 (q 2 ) = 4 μC = 4 x 10 -6 C

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

C = Coulomb, N = Newton, m = mita

Ana nema: Nisa tsakanin caji biyu (r)

Magani:

Ƙarfin lantarki - matsaloli da mafita 5

Nisa tsakanin caji biyu (r) = 0.3 m = 0.3 x 100 cm = 30 cm.

3. Cajin maki uku kamar yadda aka nuna a cikin hoton da ke ƙasa. Menene girman ƙarfin wutar lantarki mai tsayawa a wurin A (k = 9.10 9 Nm 2 .C -2 ; 1 μ = 10 -6 )

An sani:

cajin A (q)A) = -2 μC = -2 x 10-6 CƘarfin lantarki - matsaloli da mafita 6

Cajin B (qB ) = 8 μC = 8 x 10 -6 C

Cajin C (qC ) = 4,5 μC = 4,5 x 10 -6 C

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

Nisa tsakanin caji A da B (r AB ) = 4 cm = 4 x 10 -2 m

Nisa tsakanin caji A da C (r AC ) = 3 cm = 3 x 10 -2 m

C = Coulomb, N = Newton, m = mita

Ana so: Ƙarfin wutar lantarki mai motsi a wuri na A

Magani:

Daidaiton dokar Coulomb:

Ƙarfin lantarki - matsaloli da mafita 7

F = ƙarfin lantarki mai tsauri , k = Madaidaici na Coulomb , q = cajin lantarki , r = tazara tsakanin caji biyu

Ƙarfin lantarki - matsaloli da mafita 8

Ƙarfin lantarki - matsaloli da mafita 9

Ƙarfin wutar lantarki mai motsi a wuri na A:

Ƙarfin lantarki - matsaloli da mafita 10

4. Cajin maki uku kamar yadda aka nuna a cikin hoton da ke ƙasa. Menene girman ƙarfin Coulomb da Charge B ya fuskanta (k = 9.10 9 Nm 2 .C -2 ; 1 μC = 10 -6 C ).

Ƙarfin lantarki - matsaloli da mafita 15

An sani:

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 = mita 0.1 = mita 10 -1

r BC = mita 0.1 = mita 10 -1

k = 9 x 10 9 Nm 2 C −2

Ana Neman : Rundunar Coulomb da Charge B ya samu

Magani:

Akwai ƙarfin coulomb guda biyu da ke aiki akan cajin B, ƙarfin Coulomb tsakanin caji A da B (F AB ) da ƙarfin Coulomb tsakanin caji B da C (F BC ). Ƙarfin Coulomb da aka samu ta hanyar caji B shine ƙarfin F AB da F BC.

Ƙarfin Coulomb tsakanin caji A da B:

Ƙarfin lantarki - matsaloli da mafita 16

Caji A ya sanya hannu kan positive da caji B ya sanya hannu kan positive don haka F AB ya nuna positive zuwa C.

Ƙarfin Coulomb tsakanin caji na B da C:

Ƙarfin lantarki - matsaloli da mafita 17

Caji B ya nuna alamar positive da kuma alamar positive don haka F BC ya nuna alamar positive A.

Ƙarfin Coulomb wanda aka samu ta hanyar caji B:

F B = F BC – F AB = 180 – 90 = 90 N

Ƙarfin Coulomb da aka samu ta hanyar cajin B (F B ) shine Newtons 90. Alkiblar F B iri ɗaya ce da alkiblar maki F BC zuwa cajin A.

5. Kayyade girma da alkiblar ƙarfin Coulomb akan caji B ( k = 9 x 10 9 Nm 2 C −2 , 1 μC = 10 −6 C).

Ƙarfin lantarki - matsaloli da mafita 18

An sani:

Cajin A (qA ) = +Q

Cajin B (qB ) = -2Q

Cajin C (qC ) = -Q

Nisa tsakanin caji A da B (r AB ) = r

Nisa tsakanin caji B da C (r BC ) = 2r

k = 9 x 10 9 Nm 2 C −2

Ana Neman: Girma da alkiblar ƙarfin Coulomb akan caji B

Magani:

Ƙarfin Coulomb tsakanin caji A da B:

Ƙarfin lantarki - matsaloli da mafita 19

Cajin A yana da kyau kuma Cajin B yana da kyau, don haka alkiblar F AB tana nuna zuwa ga Cajin A.

Ƙarfin Coulomb tsakanin caji B da caji C:

Ƙarfin lantarki - matsaloli da mafita 21

Cajin B yana da negative kuma Cajin C yana da negative don haka alkiblar F BC tana nuna zuwa ga cajin A.

Dokar ƙarfi ta hanyar amfani da caji B:

F = FAB +FBC = 2 k Q2/r2 + 0.5 k Q2/r2 = 2.5 k Q2/r2 = 2.5 k Q2 r-2

Alkiblar maki masu ƙarfi don cajin A ko zuwa hagu.