Zitsanzo 10 za Lamulo la Coulomb
1. Ma charge awiri akonzedwa monga momwe zasonyezedwera pachithunzi chili pansipa. Ma charge pa A ndi +8 micro Coulombs ndipo ma charge pa B ndi -5 micro Coulombs. Kukula kwa mphamvu ya Coulomb yomwe imagwira ntchito pa ma charge onse awiri ndi… (k = 9 x 10 9 Nm 2 C −2 , 1 micro Coulombs = 10 −6 C)
Zokambirana
Ndizodziwika kuti :
Anafunsa : Kukula kwa mphamvu yamagetsi komwe kumagwira ntchito pa milandu yonse iwiri
Yankhani :
Fomula ya lamulo la Coulomb :
Kuchuluka kwa mphamvu yamagetsi yomwe imagwira ntchito pa milandu iwiriyi:
2. Chaji yamagetsi P = +10 micro Coulombs ndi chaji yamagetsi Q = +20 micro Coulombs zalekanitsidwa monga momwe zasonyezedwera pachithunzichi. Kukula kwa mphamvu ya Coulomb yomwe ikugwira ntchito pa milandu yonseyi ndi…
Zokambirana
Ndizodziwika kuti :
Anafunsa : Kuchuluka kwa gulu lankhondo la Coulomb lomwe likuchitapo kanthu pa milandu yonse iwiri
Yankhani :
Kukula kwa mphamvu ya Coulomb kapena mphamvu yamagetsi yomwe imagwira ntchito pa ma charge onse awiri ndi 125 Newtons.
3. Ma charge atatu amagetsi ayikidwa padera monga momwe zasonyezedwera pachithunzichi! Charge A = -5 micro Coulombs, charge B = +10 micro Coulombs, ndi charge C = -12 micro Coulombs. Kukula ndi komwe mphamvu yamagetsi imayendera pa charge B ndi…
Zokambirana
Ndizodziwika kuti :
Anafunsa : Kukula ndi komwe mphamvu yamagetsi imayendera B
Yankhani :
Mphamvu yamagetsi yomwe ili pa chaji B imachokera ku mphamvu yamagetsi pakati pa ma chaji A ndi B ndi mphamvu yamagetsi pakati pa ma chaji B ndi C.
Mphamvu yamagetsi pakati pa ma chaji A ndi B :
Chaji A ndi yoipa ndipo chaji B ndi yoipa kotero kuti njira ya mphamvu ya Coulomb ikupita ku chaji A ndipo kutali ndi chaji B (kumanzere).
Mphamvu yamagetsi pakati pa ma chaji B ndi C :
Chaji B ndi chabwino ndipo chaji C ndi choipa kotero kuti njira ya mphamvu ya Coulomb ikupita ku chaji C ndipo kutali ndi chaji B (kumanja).
Mphamvu yamagetsi yochokera pa chaji B :
Malangizo FAB kumanzere ndi njira FBC Kumanja.
FB =FAB - FBC = 675 N – 125 N = 550 Newtons.
Kuwongolera kwa mphamvu yamagetsi yochokera pa chaji B (F)B) = malangizo a mphamvu yamagetsi FAB, makamaka ku chaji C (kumanja).
4. Ma charge amagetsi +Q 1 = 10 micro Coulombs, +Q 2 = 50 micro Coulombs ndi Q 3 zalekanitsidwa monga momwe zasonyezedwera pachithunzichi. Kuti mphamvu yamagetsi yomwe ikugwira ntchito pa charge Q 2 = zero ndiye kuti charge Q 3 ndi…
Zokambirana
Ndizodziwika kuti :
Cholipiritsa 1 (q)1) = +10 μC = +10 x 10-6 Coulomb
Cholipiritsa 2 (q)2) = +50 μC = +50 x 10-6 Coulomb
Mtunda pakati pa zolipiritsa 1 ndi 2 (r12) = 2 cm = 0,02 m = 2 x 10-2 m
Mtunda pakati pa zolipiritsa 2 ndi 3 (r23) = 6 cm = 0,06 m = 6 x 10-2 m
Mphamvu yamagetsi yomwe imabwera chifukwa cha chaji 2 (F)2= = 0
Anafunsa : cholipiritsa 3 (q3)
Yankhani :
Mphamvu yamagetsi yomwe ili pa chaji yachiwiri imachokera ku mphamvu yamagetsi pakati pa chaji 1 ndi 2 ndi mphamvu yamagetsi pakati pa chaji 2 ndi 3.
Mphamvu yamagetsi pakati pa ma chaji 1 ndi 2 :
Chaji 1 ndi yabwino ndipo chaji 2 ndi yabwino kotero njira yake ndi F12 ili ku charge 3 (kumanja).
Mphamvu yamagetsi pakati pa ma chaji 2 ndi 3 :
Chaji 2 ndi yabwino ndipo chaji 3 ndi yabwino kotero njira yake ndi F23 ili ku charge 1 (kumanzere).
Mphamvu yamagetsi yochokera pa chaji 2 = 0 :
Malangizo F12 kumanja ndi mbali F23 Kumanzere.
5. Pa chithunzi chomwe chili m'mbali, mphamvu yobwezera yomwe imawonedwa ndi ma charge awiriwa ndi 144 N, kotero mtunda pakati pa ma charge awiriwa ndi… (1 μC = 10 -6 C ndi k = 9.10 9 Nm 2 .C -2 )
A. 4 cm
B. 5 cm
C. 8 cm
D. 10 cm
E. 12 cm
Zokambirana
Amadziwika kuti:
Mphamvu yamagetsi (F 12 ) = 144 N
Chaja 1 (q 1 ) = 10 μC = 10 x 10 -6 C
Chaja 2 (q 2 ) = 4 μC = 4 x 10 -6 C
Coulomb yosasintha (k) = 9 x 10 9 Nm 2 .C -2
C = Coulomb, N = Newton, m = mita
Funso: Mtunda pakati pa ma charge awiri (r)
Yankho:
Fomula ya lamulo la Coulomb:
Kufotokozera: F = mphamvu yamagetsi, k = Coulomb's constant, q = chaji yamagetsi, r = mtunda pakati pa chaji ziwiri zamagetsi.
Mtunda pakati pa ma charge awiri (r) = 5 x 10 -2 mamita = 5 x 10 -2 x 10 2 masentimita = 5 masentimita.
Yankho lolondola ndi B.
6. Ma charge awiri amagetsi ndi monga momwe asonyezedwera pachithunzi chili pansipa. Ngati mphamvu ya Coulomb yomwe ma charge onsewa akukumana nayo ndi 3,6 N, ndiye kuti mtunda pakati pa ma charge awiriwa ndi… (1 μC = 10 -6 C ndi k = 9.10 9 Nm 2 .C -2 )
A. 30,0 cm
B. 27,0 cm
C. 9,0 cm
D. 3,0 cm
E. 0,3 cm
E. 12 cm
Zokambirana
Amadziwika kuti:
Mphamvu yamagetsi (F 12 ) = 3,6 N
Chaja 1 (q 1 ) = 9 μC = 9 x 10 -6 C
Chaja 2 (q 2 ) = 4 μC = 4 x 10 -6 C
Coulomb yosasintha (k) = 9 x 10 9 Nm 2 .C -2
C = Coulomb, N = Newton, m = mita
Funso: Mtunda pakati pa ma charge awiri (r)
Yankho:
Fomula ya lamulo la Coulomb:
Kufotokozera: F = mphamvu yamagetsi, k = Coulomb's constant, q = chaji yamagetsi, r = mtunda pakati pa chaji ziwiri zamagetsi.
Mtunda pakati pa ma charge awiri (r) = 0,3 metres = 0,3 x 100 centimita = 30 centimita.
Yankho lolondola ndi A.
7. Ma charge a mfundo zitatu ali pamakona a katatu, monga momwe zasonyezedwera pachithunzichi. Kukula kwa mphamvu ya Coulomb pa mfundo A ndi… (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
Zokambirana
Amadziwika kuti:
Chaji A (q A ) = -2 μC = -2 x 10 -6 C
Chaja B (q B ) = 8 μC = 8 x 10 -6 C
Chaji C (q C ) = 4,5 μC = 4,5 x 10 -6 C
Coulomb yosasintha (k) = 9 x 10 9 Nm 2 .C -2
Mtunda pakati pa ma chaji A ndi B (r AB ) = 4 cm = 4 x 10 -2 mamita
Mtunda pakati pa ma chaji A ndi C (r AC ) = 3 cm = 3 x 10 -2 mamita
C = Coulomb, N = Newton, m = mita
Funso: Mphamvu yamagetsi pamalo A
Yankho:
Fomula ya lamulo la Coulomb:
Kufotokozera: F = mphamvu yamagetsi, k = Coulomb's constant, q = chaji yamagetsi, r = mtunda pakati pa chaji ziwiri zamagetsi.
Mphamvu yamagetsi pamalo A:
F AB ndi F AC amapanga ngodya yakumanja kotero mphamvu yochokerapo imawerengedwa pogwiritsa ntchito njira ya Pythagorean.
Yankho lolondola ndi D.
8. Zinthu ziwiri zokhala ndi chaji yamagetsi Q1 ndi Q2 Pa mtunda wa r cm, imapanga mphamvu yonyansa ya 10 N. Kenako choyimitsa Q1 yasinthidwa kotero kuti mphamvu yomwe imatuluka imakhala 40 N. K yokhazikika = 9 x 109 Nm2.C-2, kenako cholipiritsa Q1 iyenera kusunthidwa ndi…
A. 1/2 r kutali ndi Q 2
B. 1/2 r ikuyandikira Q 2
C. 1 r imachoka pa Q2
D. 2 r ikuyandikira Q 2
E. 2 r ikuchoka pa Q2
Zokambirana
Amadziwika kuti:
Mtunda pakati pa Q 1 ndi Q 2 = r cm
Mphamvu yobwezera (F) = 10 N
Ngati choyimitsa Q 1 chasunthidwa, mphamvu yobweza (F) = 40 N
Chokhazikika (k) = 9 x 10 9 Nm 2 .C -2
Funso: mtengo Q 1 uyenera kusunthidwa ndi...
Yankho:
Fomula ya mphamvu yamagetsi:
F = k Q 1 Q 2 / r 2
Mtunda (r) umagwirizana mosiyanasiyana ndi mphamvu (F). Izi zikutanthauza kuti ngati mphamvuyo ndi yayikulu, mtunda pakati pa ma charge udzakhala wocheperako. Chifukwa chake, charge Q 1 iyenera kusunthidwa pafupi ndi charge Q 2.
Yankho lolondola ndi B.
9. Chaja yamagetsi +q3 = 20 μC, +q2 = 10 μC ndi q1 kulekanitsidwa monga momwe zasonyezedwera pachithunzichi. Kuti gulu la Coulomb ligwire ntchito pa mlanduwu q2 = zero kenako cholipiritsa q1 ndi ...
A. +2 μC
B. –2 μC
C. +5 μC
D. –5 μC
E. +8 μC
Kukambirana:
Ndizodziwika kuti :
+q3 = 20 μC
+q2 = 10 μC
Anafunsa :
q1 =?
Yankhani :
Pa mtengo q2 ogwira ntchito F23 ndi F21, komwe F23 kulunjika kumanzere. Kuti mphamvu yochokerapo igwire ntchito pa q2 ikufanana ndi zero kenako q1 ziyenera kukhala zabwino kotero kuti mphamvu F21 kupita kumanja.
Ndalama q1 = +5 μC.
Yankho lolondola ndi C.
10. Ma charge atatu amagetsi +q 1 = 5 μC, +q 2 = 10 μC ndi +q 3 = 10 μC ali pamzere. Ngati a = 10 cm ndiye kuti kukula ndi njira ya mphamvu yamagetsi yomwe ikugwira ntchito pa charge q 2 ndi… (k = 9 x 10 9 Nm 2 C -2 )
A. 7,5 N kulunjika ku q1
B. 11,25 N kulowera ku q2
C. 15 N kulowera ku q1
D. 22,5 N kulowera ku q1
E. 78,75 N kulowera ku q1
Kukambirana:
Ndizodziwika kuti :
q1= 5 μC, q2 = 10 μC ndi q3 = 10 μC
a = 0,1 m
Anafunsa :
Kukula ndi malangizo a mphamvu ya Coulomb yomwe inatsatira pa q2 ?
Yankhani :
Pali magulu awiri a Coulomb omwe akuchitapo kanthu pa q2, chomwe ndi F21 ndi F23, komwe njira za mphamvu ziwirizi zili zosiyana. q1 zabwino ndi q2 zabwino kotero kuti mphamvu F21 kupita kumanja (kulowera ku q)3). q2 zabwino ndi q3 zabwino kotero kuti mphamvu F23 kupita kumanzere (kulowera ku q)1).
Kukula kwa mphamvu yamagetsi yochokerapo = 90 N – 11,25 N = 78,75 N.
Kulunjika kwa mphamvu yochokerapo ndikofanana ndi komwe mphamvu F imalowera23, kulowera ku q1.
Yankho lolondola ndi E.
