Mehlala e 10 ea Molao oa Coulomb
1. Litefiso tse peli li hlophisitsoe joalo ka ha ho bontšitsoe setšoantšong se ka tlase. Tefiso ho A ke +8 micro Coulombs 'me tefiso ho B ke -5 micro Coulombs. Matla a Coulomb e sebetsang liqosong ka bobeli ke... (k = 9 x 109 Nm2C-2, 1 micro Coulomb = 10-6 C)
Puisano
Hoa tsebahala :
E botsitsoe : Boholo ba matla a motlakase a sebetsang liqosong ka bobeli
Jawab :
Foromo Molao oa Coulomb :

E kholo matla a motlakase e sebetsang hodima meroalo ka bobedi:

2. Tefiso ea motlakase P = +10 micro Coulombs le tefiso ea motlakase Q = +20 micro Coulombs li arotsoe joalo ka ha ho bontšitsoe setšoantšong. Boholo ba matla a Coulomb a sebetsang liqosong ka bobeli ke…
![]()
Puisano
Hoa tsebahala :
E botsitsoe : Boholo ba lebotho la Coulomb le sebetsang liqosong ka bobeli
Jawab :
Boholo ba matla a Coulomb kapa matla a motlakase a sebetsang hodima ditefiso ka bobedi ke 125 Newtons.
3. Litefiso tse tharo tsa motlakase li behiloe ka thoko joalo ka ha ho bontšitsoe setšoantšong! Tefiso A = -5 micro Coulombs, tefiso B = +10 micro Coulombs, le tefiso C = -12 micro Coulombs. Boholo le tataiso ea matla a motlakase a tjhajang B ke…
Puisano
Hoa tsebahala :
E botsitsoe : Boholo le tataiso ea matla a motlakase a tjhajang B
Jawab :
Matla a motlakase a tjhajwang B a bakwa ke matla a motlakase a pakeng tsa ditefiso A le B le matla a motlakase a pakeng tsa ditefiso B le C.
Matla a motlakase pakeng tsa litefiso A le B :
Tefiso A ke e mpe mme tefiso B ke e ntle kahoo tataiso ya matla a Coulomb e lebile tjhaja A mme e hole le tjhaja B (ka letsohong le letshehadi).
Matla a motlakase pakeng tsa litefiso B le C :
Tefiso B ke e ntle mme tefiso C ke e mpe kahoo tataiso ya matla a Coulomb e lebile tjhaja C mme e le hole le tjhaja B (ka ho le letona).
Matla a motlakase a hlahang a tjhaja B :
Tataiso ea FAB ka letsohong le letšehali le ka lehlakoreng la FBC Ho ea ka botoneng.
FB =FAB - FBC = 675 N – 125 N = 550 Newtons.
Tsela eo matla a motlakase a hlahang ka eona a tjhajwang B (F)B) = tataiso ea matla a motlakase FAB, e leng ho ya ho tjhaja C (ka ho le letona).
4. Tefiso ea motlakase +Q1 = Li-Coulomb tse nyenyane tse 10, +Q2 = Li-Coulombs tse nyane tse 50 le Q3 e arotsoe joalo ka ha ho bontšitsoe setšoantšong. E le hore matla a motlakase a sebetsang holim'a tjhaja Q2 = lefela ebe tefiso Q3 ke…
Puisano
Hoa tsebahala :
Tefiso ea 1 (q)1) = +10 μC = +10 x 10-6 Coulomb
Tefiso ea 2 (q)2) = +50 μC = +50 x 10-6 Coulomb
Sebaka se pakeng tsa litefiso tsa 1 le 2 (r12) = 2 cm = 0,02 m = 2 x 10-2 m
Sebaka se pakeng tsa litefiso tsa 2 le 3 (r23) = 6 cm = 0,06 m = 6 x 10-2 m
Matla a motlakase a hlahang a tjhaja 2 (F)2= 0
E botsitsoe : tefiso 3 (q3)
Jawab :
Matla a motlakase a tjhajwang 2 a bakwa ke matla a motlakase a pakeng tsa ditefiso tsa 1 le 2 ka matla a motlakase a pakeng tsa ditefiso tsa 2 le 3.
Matla a motlakase pakeng tsa litefiso tsa 1 le 2 :
Tefiso ea 1 e ntle 'me tefiso ea 2 e ntle kahoo tsela ke F12 e lebile tjhaja ya 3 (ka ho le letona).
Matla a motlakase pakeng tsa litefiso tsa 2 le 3 :
Tefiso ea 2 e ntle 'me tefiso ea 3 e ntle kahoo tsela ke F23 e lebile tjhaja ya 1 (ka letsohong le letshehadi).
Matla a motlakase a hlahang a tjhajwa 2 = 0 :
Tataiso ea F12 ho ea ka ho le letona le ka lehlakoreng F23 Ka ho le letšehali.

5. Setšoantšong se ka lehlakoreng, matla a kgutlisang a fumanwang ke ditjhaja tse pedi ke 144 N, kahoo sebaka se pakeng tsa ditjhaja tse pedi ke… (1 μC = 10-6 C le k = 9.109 Nm2.C-2)
A. 4 cm
B. 5 cm
Bolelele ba lisenthimithara tse 8
D. 10 cm
E. 12 cm
Puisano
Hoa tsebahala hore:
Matla a motlakase (F)12) = 144 N
Tefiso ea 1 (q)1) = 10 μC = 10 x 10-6 C
Tefiso ea 2 (q)2) = 4 μC = 4 x 10-6 C
Sephetho sa Coulomb (k) = 9: x 109 Nm2.C-2
C = Coulomb, N = Newton, m = mithara
O botsitse: Sebaka se pakeng tsa litefiso tse peli (r)
Karabo:
Foromo ea molao oa Coulomb:

Tlhaloso: F = matla a motlakase, k = kCoulomb e sa fetoheng, q = tjhaja ya motlakase, r = sebaka se pakeng tsa tjhaja tse pedi tsa motlakase.

Sebaka se pakeng tsa litefiso tse peli (r) = 5 x 10-2 limithara = 5 x 10-2 x 102 Sentimithara = disentimitara tse 5.
Karabo e nepahetseng ke B.
6. Lichaja tse peli tsa motlakase li bontšitsoe setšoantšong se ka tlase. Haeba matla a Coulomb a fumanoang ke lichaja ka bobeli e le 3,6 N, joale sebaka se pakeng tsa lichaja tse peli ke… (1 μC = 10-6 C le k =9.109 Nm2.C-2)
A. 30,0 cm
B. 27,0 cm
Bolelele ba lisenthimithara tse 9,0
D. 3,0 cm
E. 0,3 cm
E. 12 cm
Puisano
Hoa tsebahala hore:
Matla a motlakase (F)12) = 3,6 N
Tefiso ea 1 (q)1) = 9 μC = 9 x 10-6 C
Tefiso ea 2 (q)2) = 4 μC = 4 x 10-6 C
Sephetho sa Coulomb (k) = 9: x 109 Nm2.C-2
C = Coulomb, N = Newton, m = mithara
O botsitse: Sebaka se pakeng tsa litefiso tse peli (r)
Karabo:
Foromo ea molao oa Coulomb:

Tlhaloso: F = matla a motlakase, k = kCoulomb e sa fetoheng, q = tjhaja ya motlakase, r = sebaka se pakeng tsa tjhaja tse pedi tsa motlakase.

Sebaka se pakeng tsa litefiso tse peli (r) = limithara tse 0,3 = 0,3 x 100 Sentimithara = disentimitara tse 30.
Karabo e nepahetseng ke A.
7. Litlhaselo tsa lintlha tse tharo li fumaneha likhutlong tsa khutlotharo, joalo ka ha ho bontšitsoe setšoantšong. Boholo ba matla a Coulomb ntlheng ea A ke… (k = 9.109 Nm2.C-2;; 1 μ = 10-6)
A. 10 N
B. 60 N
C. 90 N
D. 902 N
E. 1002 N
Puisano
Hoa tsebahala hore:
Tefiso A (q)A) = -2 μC = -2 x 10-6 C
Tefiso B (q)B) = 8 μC = 8 x 10-6 C
Tefiso C (q)C) = 4,5 μC = 4,5 x 10-6 C
Sephetho sa Coulomb (k) = 9: x 109 Nm2.C-2
Sebaka se pakeng tsa litefiso A le B (r)AB) = 4 cm = 4 x 10-2 mitha
Sebaka se pakeng tsa litefiso A le C (r)AC) = 3 cm = 3 x 10-2 mitha
C = Coulomb, N = Newton, m = mithara
O botsitse: Matla a motlakase ntlheng ea A
Karabo:
Foromo ea molao oa Coulomb:

Tlhaloso: F = matla a motlakase, k = kCoulomb e sa fetoheng, q = tjhaja ya motlakase, r = sebaka se pakeng tsa tjhaja tse pedi tsa motlakase.


Matla a motlakase ntlheng ea A:
FAB le FAC e etsa sekhutlo se nepahetseng e le hore matla a hlahang a baloe ho sebelisoa foromo Pythagoras.
![]()
Karabo e nepahetseng ke D.
8. Lintho tse peli tse nang le tjhaja ea motlakase Q1 le Q2 ka sebaka sa r cm, e hlahisa matla a nyonyehang a 10 N. Ebe tjhaja Q1 e fetotsoe e le hore matla a hlahang a be 40 N. K e sa fetoheng = 9 x 109 Nm2.C-2, ebe tefiso Q1 e tlameha ho fallisoa ke…
A. 1/2 r hole le Q2
B. 1/2 r e atamela Q2
C. 1 r e tloha ho Q2
D. 2 r e atamela Q2
E. 2 r e tloha ho Q2
Puisano
Hoa tsebahala hore:
Sebaka Q1 le Q2 = r cm
Matla a phephetsang (F) = 10 N
Haeba tefiso Q1 Matla a fetotsweng, a nyonyehang (F) = 40 N
E sa fetoheng (k) = 9 x 109 Nm2.C-2
O botsitse: tefiso Q1 e tlameha ho fallisoa ke…
Karabo:
Foromo ea matla a motlakase:
F = k Q1 Q2 /r2
Sebaka (r) se lekana ka tsela e fapaneng le matla (F). Sena se bolela hore haeba matla a le maholo, sebaka se pakeng tsa litefiso se tla ba se senyenyane. Kahoo tefo Q1 e tlameha ho fetoloa atamela tefiso Q2.


Karabo e nepahetseng ke B.
9. Tefiso ea motlakase +q3 = 20 μC, +q2 = 10 μC le q1 e arotsoe joalo ka ha ho bontšitsoe setšoantšong. E le hore lebotho la Coulomb le sebetsang holim'a qoso q2 = lefela ebe tefiso q1 ke …
A. +2 μC
B. –2 μC
C. +5 μC
D. –5 μC
E. +8 μC
Puisano:
Hoa tsebahala :
+q3 = 20 μC
+q2 = 10 μC
E botsitsoe :
q1 = ?
Jawab :
Tefiso e lefshoang q2 basebetsi ba F23 le F21, moo F23 e lebisitsoe ka letsohong le letšehali. E le hore matla a hlahang a sebetse ho q2 e lekana le lefela ebe q1 e tlameha ho ba ntle e le hore matla a F21 ho ya ka ho le letona.
Tefiso q1 = +5 μC.
Karabo e nepahetseng ke C.
10. Litefiso tse tharo tsa motlakase +q1= 5 μC, +q2 = 10 μC le +q3 = 10 μC moleng. Haeba a = 10 cm joale boholo le tataiso ea matla a motlakase a sebetsang holim'a tjhaja q2 ke… (k = 9 x 109 Nm2C-2)
A. 7,5 N ho ea ho q1
B. 11,25 N ho ea ho q2
C. 15 N ho ea ho q1
D. 22,5 N ho ea ho q1
E. 78,75 N ho ya ho q1
Puisano:
Hoa tsebahala :
q1= 5 μC, q2 = 10 μC le q3 = 10 μC
a = 0,1 m
E botsitsoe :
Boholo le tataiso ea matla a Coulomb a hlahang ho q2 ?
Jawab :
Ho na le mabotho a mabeli a Coulomb a sebetsang ho q2, e leng F21 le F23, moo tataiso ea matla ana a mabeli e fapaneng. q1 e ntle le q2 e ntle e le hore matla a F21 ho leba ka ho le letona (ho ea ho q)3). q2 e ntle le q3 e ntle e le hore matla a F23 ho leba ka letsohong le letšehali (ho ea ho q)1).
Boholo ba matla a motlakase a hlahang = 90 N – 11,25 N = 78,75 N.
Tsela eo matla a hlahang ka yona e tshwana le tsela eo matla a tsamayang ka yona F23, ho ea ho q1.
Karabo e nepahetseng ke E.