Zitsanzo 20 za mafunso okhudza magetsi osasinthasintha
Mphamvu Zamagetsi
1. Mfundo A ili m'munda wamagetsi . Mphamvu yamagetsi pamalo A ndi 0,5 NC -1 . Ngati chinthu chokhala ndi chaji ya 0,25 C chayikidwa pamalo A, ndiye kuti mphamvu ya Coulomb ya...
A. 0,125 N
B. 0,25 N
C. 0,35 N
D. 0,40 N
E. 0,70 N
Zokambirana
Amadziwika kuti:
Mphamvu yamagetsi pamalo A = 0,5 NC -1
Mphamvu yamagetsi pamalo A = 0,25 C
Funso: Mphamvu ya Coulomb ikugwira ntchito pa chinthu chodzazidwa ndi magetsi
Yankho:
Fomula yomwe imafotokoza ubale pakati pa mphamvu yamagetsi (F), mphamvu yamagetsi (E) ndi mphamvu yamagetsi (q) ndi iyi:
F = q E
F = (0,25 C)(0,5 NC -1 )
F = 0,125N
Yankho lolondola ndi A.
2. Ma charge awiri a 5 C ndi 4 C ali 3 m kutalikirana. Ngati k = 9 × 10 9 Nm 2 C –2 , ndiye kuti kukula kwa mphamvu ya Coulomb yomwe imapezeka ndi ma charge awiriwa ndi…
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
Zokambirana
Amadziwika kuti:
Ndalama 1 (q 1 ) = 5 C
Ndalama 2 (q 2 ) = 4 C
Mtunda pakati pa katundu 1 ndi 2 (r) = mamita atatu.
Coulomb yosasintha (k) = 9 × 10 9 Nm 2 C –2
Funso: Kukula kwa mphamvu ya Coulomb (F)
Yankho:
Yankho lolondola ndi C.
3. Ma charge amagetsi +q 1 = 10 μC; +q 2 = 20 μC; ndi q 3 alekanitsidwa monga momwe zasonyezedwera pachithunzi chili pansipa. Kuti mphamvu ya Coulomb igwire ntchito pa charge q 2 = zero; ndiye kuti charge q 3 ndi…
A. +2,5 μC
B. –2,5 μC
C. +25 μC
D. –25 μC
E. +4 μC
Zokambirana
Amadziwika kuti:
Chaja 1 (q 1 ) = 10 μC = 10 x 10 -6 C
Chaja 2 (q 2 ) = 20 μC = 20 x 10 -6 C
Funso: Kodi mphamvu ya Coulomb yomwe ikugwira ntchito pa mphamvu ya q 2 ndi yotani kuti ikhale zero (F 2 = 0 ).
Yankho:
Pali mphamvu ziwiri zomwe zimagwira ntchito pa +q 2.
Mphamvu yoyamba ndi mphamvu yobweza pakati pa mphamvu +q 1 ndi mphamvu +q 2 , yomwe ndi F 12 , yomwe yalunjika kumanja.
Kuti mphamvu yamagetsi yomwe ikugwira ntchito pa q 2 ikhale zero, q 3 iyenera kukhala ndi negative charge . Chifukwa chake, mphamvu yachiwiri ndi mphamvu yokopa pakati pa ma charge +q 2 ndi -q 3 , yomwe ndi F 23, yomwe imalunjika kumanzere. Mphamvu ziwirizi zomwe zikugwira ntchito pa q 2 zili ndi kukula kofanana koma mbali zosiyana.
Mphamvu yochokera pa +q 2 ndi yofanana ndi zero.
Yankho lolondola ndi B.
4. Mapointi A ndi B ali ndi mphamvu yamagetsi ya −10 μC ndi +40 μC motsatana. Poyamba mphamvu ziwirizi zimayikidwa mtunda wa mamita 0,5 kuti mphamvu ya Coulomb F Newton iwonekere. Ngati mtunda pakati pa A ndi B wasinthidwa kukhala mamita 1,5, ndiye kuti mphamvu ya Coulomb yomwe imawonekera ndi...
A. 1 / 9 F
B. 1 / 3 F
C. 3 / 2 F
D. 3 F
E. 9 F
Zokambirana
Yerekezerani kukambirana kwa funso nambala 9.
Mtunda pakati pa A ndi B umasinthidwa kukhala mamita 1,5 kapena kuchulukitsa katatu kuposa mtunda woyambirira.
Mphamvu yake ndi yofanana kwambiri ndi sikweya ya mtunda:
Mphamvu ya Coulomb yomwe imabuka ndi 1/9 F.
Yankho lolondola ndi A.
5. Dongosolo lokhala ndi ma charge atatu aulere ofanana kukula limayikidwa kuti likhale lolingana monga momwe zasonyezedwera pachithunzichi. Ngati Q 3 yasinthidwa 1/3 x pafupi ndi Q 2 , ndiye kuti chiŵerengero cha kukula kwa mphamvu ya Coulomb F 2 : F 1 chimakhala….
A. 1: 3
B. 2: 3
C. 3: 4
D. 9: 1
E. 9: 4
Zokambirana
Amadziwika kuti :
Mtunda pakati pa q 1 ndi q 2 = x
Mtunda pakati pa q 2 ndi q 3 = 2/3 x
Anafunsa : F 2 : F 1 = …. ?
Yankho :
Fomula ya lamulo la Coulomb:
Kufotokozera: k = chosasintha, q 1 = chaji 1, q 2 = chaji 2, r = mtunda pakati pa chaji 1 ndi chaji 2
Kuyerekeza kwa kukula kwa mphamvu ya Coulomb
q 1 , q 2 ndi q 3 ndi ofanana kotero amachotsedwa mu equation. k ndi x 2 nawonso ndi ofanana kukula ndipo ali kumanzere ndi kumanja kotero amachotsedwa mu equation.
Yankho lolondola ndi E.
6. Yang'anani chithunzi chili pansipa. Ma charge atatu amagetsi q 1 , q , ndi q 2 ali pamzere. Ngati q = 5,0 μC ndi d = 30 cm, ndiye kuti kukula ndi malangizo a mphamvu yamagetsi yomwe ikugwira ntchito pa charge q ndi… (k = 9 x 10 9 N m 2 C -2 )
A. 7,5 N kulunjika ku q1
B. 7,5 N kupita ku q 2
C. 15 N kulowera ku q 1
D. 22,5 N kulowera ku q 1
E. 22,5 N kupita ku q 2
Zokambirana
Amadziwika kuti:
Chaja 1 (q 1 ) = 30 μC = 30 x 10 -6 C
Chaja 2 (q 2 ) = 60 μC = 60 x 10 -6 C
Chaja 3 (q) = 5 μC = 5 x 10 -6 C
Mtunda pakati pa q 1 ndi q = d
Mtunda pakati pa q 2 ndi q = 2d
d = 30 cm = 0,3 mamita
d 2 = (0,3) 2 = 0,09
Chosasintha cha Coulomb (k) = 9 x 10 9 N m 2 C -2
Funso: Kukula ndi komwe mphamvu yamagetsi imagwira ntchito pa mphamvu yamagetsi
Yankho:
Pali mphamvu ziwiri zomwe zimagwira ntchito pa q, zomwe ndi F 1 imalunjika kumanja (q ndi q 1 zimayendetsedwa bwino kotero kuti F 1 ili kutali ndi q ndi q 1 ) ndipo F 2 imalunjika kumanzere (q ndi q 2 zimayendetsedwa bwino kotero kuti F 2 ili kutali ndi q ndi q 2 ). Choyamba werengani F 1 ndi F 2.
Mphamvu yochokera:
Σ F = 15 – 7,5 = 7,5
Mphamvu yochokerapo ndi 7,5 Newtons. Kulunjika kwake ndi kofanana ndi F 1 , ndiko kuti kumanja kupita ku q 2.
Yankho lolondola ndi B.
Malo Ogwiritsira Ntchito Magetsi
7. Choyatsira cha point q chili pa point P mu gawo lamagetsi lopangidwa ndi choyatsira (+) kotero kuti chimapeza mphamvu ya 0,05 N munjira yopita ku choyatsira. Ngati mphamvu ya field pa point P ndi 2 x 10 –2 NC –1 , ndiye kuti kukula ndi mtundu wa choyatsira chomwe chimapanga gawolo ndi…
A. 5,0 C, zabwino
B. 5,0 C, yoipa
C. 3,0 C, zabwino
D. 2,5 C, palibe
E. 2,5 C, zabwino
Zokambirana
Amadziwika kuti:
Mphamvu yamagetsi (F) = 0,05 N
Mphamvu yamagetsi (E) = 2 x 10 –2 NC –1 = 0,02 NC –1
Yafunsidwa: Kukula ndi mtundu wa ndalama zomwe zimapanga munda
Yankho:
Mphamvu yamagetsi imawerengedwa pogwiritsa ntchito fomula yomwe imafotokoza ubale pakati pa mphamvu yamagetsi (F), mphamvu yamagetsi (E) ndi mphamvu yamagetsi (q):
F = q E
q = F / E = 0,05 N / 0,02 NC –1 = 2,5 Coulombs
Chaji q imakumana ndi mphamvu yamagetsi yopita ku chaji (+) yomwe imapanga munda wamagetsi, kotero kuti chaji q imakhala ndi chizindikiro chotsutsa.
Yankho lolondola ndi D.
8. Mtunda pakati pa ma charge awiri A ndi B ndi 4 m. Point C ili pakati pa ma charge awiri, 1 m kuchokera ku A. Ngati Q A = –300 μC, Q B = 600 μC. 1/4 π ε 0 = 9 × 10 9 N m 2 C –2 , ndiye kuti mphamvu yamagetsi pa point C chifukwa cha mphamvu ya ma charge awiriwa ndi…
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
Zokambirana
Amadziwika kuti:
Mtunda pakati pa katundu A ndi B (r AB ) = mamita 4
Mtunda pakati pa mfundo C ndi chaji A (r AC ) = mita imodzi
Mtunda pakati pa mfundo C ndi chaji B (r BC ) = mamita atatu
Chaji A (q A ) = –300 μC = -300 x 10 -6 C = -3 x 10 -4 Coulomb
Chaja B (q B ) = 600 μC = 600 x 10 -6 C = 6 x 10 -4 Coulomb
Chokhazikika (k) = 9 × 10 9 N m 2 C –2
Funso: mphamvu yamagetsi pamalo C
Yankho:
Mphamvu yamagetsi yopangidwa ndi mphamvu A pa mfundo C:
Chaji A ndi yoipa kotero njira ya magetsi ikupita ku chaji A ndipo kutali ndi chaji B (kumanzere).
Mphamvu yamagetsi yopangidwa ndi chaji B pamalo C:
Chaji B ndi yabwino kotero kuti njira ya magetsi ili kutali ndi chaji B ndikupita ku chaji A (kumanzere).
Mphamvu yamagetsi yomwe imabwera pambuyo pake pa mfundo A:
E A ndi E B zili mbali imodzi kotero zimawonjezedwa pamodzi.
E = E A + E B
E = (27 x 10 5 ) + (6 x 10 5 )
E = 33 x 10 5 N/C
Njira ya magetsi ikupita ku chaji A ndipo kutali ndi chaji B (kumanzere).
Yankho lolondola ndi C.
9. Fumbi lolemera miligramu imodzi limatha kuyandama mumlengalenga chifukwa cha mphamvu yamagetsi yomwe imasunga fumbi. Ngati mphamvu ya fumbi ndi 0,5 μC ndipo mphamvu yokoka ndi 10 m/s2 , dziwani kukula kwa mphamvu yamagetsi yomwe imasunga fumbi.
A. 5 N/C
B. 10 N/C
C. 20 N/C
D. 25 N/C
E. 40 N/C
Zokambirana
Amadziwika kuti:
Kulemera kwa fumbi (m) = 1 milligram = 1 x 10 -6 kg
Mphamvu ya fumbi (q) = 0,5 μC = 0,5 x 10 -6 C
Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s 2
Funso: Mphamvu ya mphamvu yamagetsi yomwe imasunga fumbi
Yankho:
Fomula yolemerera:
w = mg
Kufotokozera: w = kulemera kwa fumbi, m = kulemera kwa fumbi, g = kuthamanga chifukwa cha mphamvu yokoka
Mphamvu yokoka yomwe imagwira ntchito pa fumbi kapena kulemera kwa fumbi imawerengedwa pogwiritsa ntchito njira yolemerera:
w = mg = (1 x 10 -6 kg)(10 m/s 2 ) = 10 x 10 -6 kg m/s 2 = 10 x 10 -6 Newtons
Fomula ya mphamvu yamagetsi:
E = F/q
Kufotokozera: E = mphamvu yamagetsi, F = mphamvu yamagetsi, q = mphamvu yamagetsi
Fumbi limayandama mumlengalenga, kotero mphamvu yochokera pa fumbi iyenera kukhala zero. Mphamvu yokoka ya fumbi imayendetsedwa pansi, kotero mphamvu yamagetsi iyenera kuyendetsedwa mmwamba, ndipo kukula kwa mphamvu yokoka ya fumbi kuyenera kukhala kofanana ndi kukula kwa mphamvu yamagetsi, kotero kuti mphamvu yochokera pa fumbi ndi zero. Chifukwa chake, F mu fomula ya mphamvu yamagetsi ikhoza kusinthidwa ndi w mu fomula yolemera.
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
Yankho lolondola ndi C.
10. Ma charge awiri, q 1 = 32 μC ndi q 2 = -214 μC, amalekanitsidwa ndi mtunda x kuchokera kwa wina ndi mnzake monga momwe zasonyezedwera pachithunzi pamwambapa. Ngati pa mfundo p, yomwe ili 10 cm kuchokera q 2, mphamvu yamagetsi yomwe imachokera ndi zero. Ndiye kukula kwa x ndi….
A. 20 cm
B. 30 cm
C. 40 cm
D. 50 cm
E. 60 cm
Zokambirana
Amadziwika kuti:
Chaja 1 (Q 1 ) = 32 μC
Chaja 2 (Q 2 ) = -214 μC
Mtunda wa mfundo p kuchokera ku q 1 = x + 10 cm
Mtunda wa mfundo p kuchokera ku q 2 = 10 cm
Anafunsa: x
Yankho:
E 1 ndi gawo lamagetsi lopangidwa ndi chaji Q 1. Kulunjika kwa gawo lamagetsi kuli kutali ndi Q 1 chifukwa Q 1 ili ndi chaji yabwino. E 2 ndi gawo lamagetsi lopangidwa ndi chaji Q 2. Kulunjika kwa gawo lamagetsi kuli ku Q 2 chifukwa Q 2 ili ndi chaji yoyipa.
Pa mfundo ya p yomwe ili pa 10 cm kuchokera ku Q 2 , mphamvu yamagetsi yomwe imachokera pamenepo ndi zero.
Gwiritsani ntchito fomula ya ABC:
11. Mfundo yokhala ndi chaji q ili pa mfundo P mu gawo lamagetsi lopangidwa ndi chaji (+), kotero kuti imakumana ndi mphamvu ya 0,05 N. Ngati kukula kwa chaji ndi +5 × l0 –6 Coulomb, ndiye kuti kukula kwa gawo lamagetsi pa mfundo P ndi…
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
Zokambirana
Amadziwika kuti:
Mphamvu yamagetsi (F) = 0,05 Newton
Chaji yamagetsi (Q) = +5 × l0 –6 Coulomb = 0,000005
Funso: Kodi mphamvu ya magetsi pa mfundo P ndi yotani?
Yankho:
Fomula yomwe imafotokoza ubale womwe ulipo pakati pa mphamvu yamagetsi, mphamvu yamagetsi ndi mphamvu yamagetsi:
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
Yankho lolondola ndi E.
12. Ma charge atatu akonzedwa monga momwe zasonyezedwera pachithunzi chili pansipa. Mphamvu ya Coulomb yomwe imapezeka ndi charge B ndi …. (k = 9 x 10 9 Nm 2 C −2 , 1 μC = 10 −6 C)
A. 09 x 101 Ndalama ya N mpaka C
B. 09 x 101 N kuti mulipire A
C. 18 x 101 Ndalama ya N mpaka C
D. 18 x 101 N kuti mulipire A
E. 36 x 101 Ndalama ya N mpaka C
Zokambirana
Ndizodziwika kuti :
qA = 10 µC = 10 x 10-6 C=10-5 Coulomb
qB = 10 µC = 10 x 10-6 = 10-5 Coulomb
qC = 20 µC = 20 x 10-6 = 2x10 pa-5 Coulomb
rAB = mamita 0,1 = 10-1 mita
rBC = mamita 0,1 = 10-1 mita
k = 9 x 109 Nm2C-2
Anafunsa Mphamvu ya Coulomb yomwe imadziwika ndi mlandu B
Yankhani :
Pali mphamvu ziwiri za Coulomb kapena mphamvu zamagetsi zomwe zimagwira ntchito pa mphamvu B, zomwe ndi mphamvu ya Coulomb pakati pa mphamvu A ndi B (F AB ) ndi mphamvu ya Coulomb pakati pa mphamvu B ndi C (F BC ). Mphamvu ya Coulomb yomwe imapezeka pa mphamvu B imachokera ku mphamvu ya F AB ndi F BC.
Mphamvu ya Coulomb pakati pa milandu A ndi B:
Chaji A ili ndi chizindikiro chabwino ndipo chaji B ili ndi chizindikiro chabwino kotero FAB ku mlandu C.
Mphamvu ya Coulomb pakati pa milandu B ndi C:
Chaji B ndi chabwino ndipo chaji C ndi chabwino kotero kuti FBC kwa mlandu A.
Mphamvu ya Coulomb yomwe imapezeka ndi mlandu B:
FB =FBC - FAB = 180 – 90 = 90 N
Kukula kwa mphamvu ya Coulomb yomwe idakumana ndi mlandu B (F)B) ndi 90 Newtons. Kuwongolera kwa FB chimodzimodzi ndi malangizo FBC makamaka kwa mlandu A.
Yankho lolondola ndi B.
13. Kukula ndi malangizo a mphamvu ya Coulomb pa mphamvu B ndi... (k = 9 x 10 9 Nm 2 C −2 , 1 μC = 10 −6 C)
A. 2,5 k Q2 r-2 Kumanzere
B. 2,5 k Q2 r-2 Kumanja
C. 2 k Q2 r-2 Kumanzere
D. 2 k Q2 r-2 Kumanja
E. 1 k Q2 r-2 Kumanzere
Zokambirana
Ndizodziwika kuti :
Ndalama A (q)A) = +Q
Cholipiritsa B (q)B) = -2Q
Cholipiritsa C (q)C) = -Q
Mtunda pakati pa zolipiritsa A ndi B (r)AB) =r
Mtunda pakati pa zolipiritsa B ndi C (r)BC) = 2r
k = 9 x 109 Nm2C-2
Anafunsa : kukula ndi malangizo a gulu lankhondo la Coulomb lomwe lili pa udindo B
Yankhani :
Mphamvu ya Coulomb pakati pa cholipiritsa A ndi cholipiritsa B:
Chaji A ndi yabwino ndipo chaji B ndi yoipa kotero njira yake ndi FAB ku mlandu A
Mphamvu ya Coulomb pakati pa cholipiritsa B ndi cholipiritsa C:
Chaji B ndi yoipa ndipo chaji C ndi yoipa kotero njira ya F ndiBC ku mlandu A
Gulu lotsatira lomwe likugwira ntchito pa udindo B:
F = FAB +FBC = 2 k Q2/r2 + 0,5 k Q2/r2 = 2,5 k Q2/r2 = 2,5 k Q2 r-2
Kulunjika kwa gulu lankhondo la Coulomb kuli kumanja kapena kumanzere.
Yankho lolondola ndi A.
Malo Ogwiritsira Ntchito Magetsi
14. Yang'anani chithunzi chotsatira cha ma point charge awiri! Kodi point P ili kuti kotero kuti mphamvu yamagetsi pa point P ikhale yofanana ndi zero? (k = 9 x 109 Nm2C-2, 1 μC = 10-6 C)
A. pakati pa Q1 ndi Q2
B. 6 cm kumanja kwa Q2
C. 6 cm kumanzere kwa Q1
D. 2 cm kumanja kwa Q2
E. 2 cm kumanzere kwa Q1
Zokambirana
Kuti muwerenge mphamvu yamagetsi pa mfundo P, ganizirani kuti pali mayeso abwino pa mfundo P. Q1 zabwino ndi Q2 negative, chifukwa chake mfundo P iyenera kukhala kumanja kwa Q2 kapena kumanzere kwa Q1. Ngati mfundo P ili kumanzere kwa Q1; mphamvu yamagetsi yopangidwa pa mfundo Q1 pamalo P njira ili kumanzere (kutali ndi Q1) ndi mphamvu yamagetsi yopangidwa ndi Q2 pamalo P njira ili kumanja (ku Q)1). Chifukwa chakuti mbali ya magetsi ili moyang'anizana, ziwirizi zimalekanitsa kuti mphamvu ya magetsi pamalo a P ikhale zero.
Ndizodziwika kuti :
Q1 = +9 μC = +9 x 10-6 C
Q2 = -4 μC = -4 x 10-6 C
k = 9 x 109 Nm2C-2
Mtunda pakati pa chaji 1 ndi chaji 2 = 3 cm
Mtunda pakati pa Q1 ndi mfundo P (r1P) = a
Mtunda pakati pa Q2 ndi mfundo P (r2P) = 3 + a
Anafunsa Kodi mfundo P ili kuti kotero kuti mphamvu yamagetsi pa mfundo P ikhale yofanana ndi zero?
Yankhani :
Point P ili kumanzere kwa Q1.
Mphamvu yamagetsi yopangidwa ndi Q1 pa mfundo P :
Mtengo wabwino wa mayeso ndi Q1 zabwino kotero kuti njira ya magetsi ili kumanzere.
Mphamvu yamagetsi yopangidwa ndi Q2 pa mfundo P :
Mtengo wabwino wa mayeso ndi Q2 zoipa kotero kuti njira ya magetsi ili kumanja.
Mphamvu yamagetsi yomwe imabwera pambuyo pake pa mfundo A :
E1 ndi E2 njira yosiyana.
E1 - E2 = 0
E1 =E2
Gwiritsani ntchito fomula ya ABC kuti mudziwe mtengo wa a.
a = -1,25, b = -13,5, c = -20,25
Sizingakhale zoipa.
Mtunda pakati pa Q2 ndi mfundo P (r2P) = 3 + a = 3 – 1,8 = 1,2 cm.
Point P ili pa mtunda wa 1,2 cm kumanja kwa Q.2.
15. Yang'anani chithunzi chotsatirachi! Charge q3 imayikidwa pa mtunda wa 5 cm kuchokera ku q2, kenako mphamvu yamagetsi yomwe ikuperekedwa q3 ndi… (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
Zokambirana
Ndalama q3 imayikidwa pa mtunda wa 5 cm kuchokera ku q2, kutanthauza kuti osati kumanzere kwa q2 koma kumbali yakumanja q2Ngati mbali yakumanzere q2 ndiye kuti mphamvu yamagetsi yomwe ikubwera ndi zero. Izi zili choncho chifukwa mtunda pakati pa ma chaji ndi q3 ndi cholipiritsa q1 ndi q2 ndi 5 cm ndipo kukula kwa mphamvu ndi q1 wofanana ndi mtengo wa q2.
Popeza mphamvu ya q 3 ndi yabwino, njira ya magetsi yomwe ili pa mphamvu ya q 3 ikupita ku mphamvu yoipa ya q 2 (E 2 ) ndipo kutali ndi mphamvu yoipa ya q 1 (E 1 ). Mphamvu yamagetsi yomwe imabwera chifukwa cha mphamvu ya magetsi ya E 1 ndi E 2 ndi yokwanira.
Ndizodziwika kuti :
Ndalama q1 = 5 µC = 5 x 10-6 Coulomb
Ndalama q2 = 5 µC = -5 x 10-6 Coulomb
Mtunda pakati pa zolipiritsa q1 ndi kulipira q3 (r1) = 15 cm = 0,15 m = 15 x 10-2 mita
Mtunda pakati pa zolipiritsa q2 ndi kulipira q3 (r2) = 5 cm = 0,05 m = 5 x 10-2 mita
k = 9 x 109 N m2 C-2
Anafunsa Mphamvu yamagetsi yomwe ikugwiritsidwa ntchito q3
Yankhani :
Mphamvu yamagetsi 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 = 0,2x10 pa7 N / C
Mphamvu yamagetsi 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 = 1,8x10 pa7 N / C
Mphamvu yamagetsi yochokera pamenepo
Mphamvu yamagetsi yomwe imabwera chifukwa cha mphamvu yamagetsi q3 ndi:
E = E2 - E1 = (1,8 x 107)– (0,2 x 107) = 1,6 x 107 N / C
Kulowera kwa magetsi kuli kumanzere kapena ku E2.
Yankho lolondola ndi C.
16. Ma charge awiri amagetsi alekanitsidwa monga momwe zasonyezedwera pachithunzichi. Mphamvu ya malo pa mfundo P ndi… (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
Zokambirana
Ndizodziwika kuti :
Ndalama qA = +2,5 C
Ndalama qB = -2 C
Mtunda pakati pa zolipiritsa qA ndi mfundo P (rA) = 5 m
Mtunda pakati pa zolipiritsa qB ndi mfundo P (rB) = 2 m
k = 9 x 109 N m2 C-2
Anafunsa Mphamvu yamagetsi pamalo P
Yankhani :
Mphamvu yamagetsi A
EA = kqA /rA2
EA = (9 x 109)(2,5) / (5)2
EA = (22,5 x 109/ 25
EA = 0,9x10 pa9 N / C
Mphamvu yamagetsi B
EB = kqB /rB2
EB = (9 x 109)(2) / (2)2
EB = (18 x 109/ 4
EB = 4,5x10 pa9 N / C
Mphamvu yamagetsi yochokera pamenepo
Mphamvu yamagetsi yomwe imabwera chifukwa cha P ndi iyi:
E = EB - EA = (4,5 - 0,9) x 109 = 3,6x10 pa9 N / C
Kulowera kwa magetsi kuli kumanzere kapena ku EB.
Yankho lolondola ndi C.
17. Ma chaji awiri amagetsi aliwonse ali ndi chaji Q.1 = -40 µC ndi Q2 = +5 µC ili pamalo omwe akuwonetsedwa pachithunzichi (k = 9 x 109 Nm2.C-2 ndipo 1 µC = 10-6 C), mphamvu yamagetsi pamalo P ndi…
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
Zokambirana
Ndizodziwika kuti :
Ndalama q1 = -40 µC = -40 x 10-6 C
Ndalama q2 = +5 µC = +5 x 10-6 C
Mtunda pakati pa zolipiritsa q1 ndi mfundo P (r1) = 40 cm = 0,4 m = 4 x 10-1 m
Mtunda pakati pa zolipiritsa q2 ndi mfundo P (r2) = 10 cm = 0,1 = 1 x 10-1 m
k = 9 x 109 N m2 C-2
Anafunsa Mphamvu yamagetsi pamalo P
Yankhani :
Mphamvu yamagetsi 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 = 22,5x10 pa5 N / C
Mphamvu yamagetsi 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 = 45x10 pa5 N / C
Mphamvu yamagetsi yochokera pamenepo
Mphamvu yamagetsi yomwe imabwera chifukwa cha P ndi iyi:
E = E2 - E1 = (45 - 22,5) x 105 = 22,5x10 pa5 N / C
E = 2,25 x 106 N / C
Kulowera kwa magetsi kuli kumanja kapena ku E2.
Yankho lolondola ndi A.
18. Ma charge awiri amagetsi ayikidwa padera monga momwe zasonyezedwera pachithunzichi. Ma charge pa A ndi 8 µC ndipo mphamvu yokoka yomwe imagwira ntchito pa ma charge onsewa ndi 45 N. Ngati charge A yasunthidwa kumanja ndi 1 cm ndipo k = 9.109 Nm2.C-2, ndiye mphamvu yokoka yomwe ikugwira ntchito pa milandu iwiriyi ndi...
A. 45 N
B. 60 N
C. 80 N
D. 90 N
E. 120 N
Zokambirana
Ndizodziwika kuti :
Mphamvu yamagetsi pa A (q)A) = 8 µC = 8 x 10-6 Coulomb
Mphamvu yamagetsi pakati pa ma charge awiri (F) = 45 Newton
Mtunda pakati pa ma chaji awiri (rAB) = 4 cm = 0,04 mamita = 4 x 10-2 mita
Chokhazikika (k) = 9 x 109 Nm2.C-2
Anafunsa Mphamvu yamagetsi pakati pa ma chaji awiriwa ngati chaji A yasunthidwa kumanja ndi 1 cm kapena 0,01 metres
Yankhani :
Choyamba werengerani mphamvu yamagetsi pa B, kenako werengerani mphamvu yamagetsi pakati pa mphamvu ziwiri zamagetsi, ngati mphamvu yamagetsi pa A yasunthidwa kumanja ndi 1 cm.
Chaji yamagetsi pa B :
Fomula ya lamulo la Coulomb :
F = k (qA)(qB) /r2
Fr2 = k (qA)(qB)
qB = Fr2 / k (qA)
Chaji yamagetsi pa 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 pa-7 Coulomb
Mphamvu yamagetsi pakati pa ma chaji amagetsi A ndi B :
Ngati mphamvu pa A yasunthidwa kumanja ndi 1 cm, mtunda pakati pa mphamvu ziwiri umakhala 3 cm = 0,03 mita = 3 x 10-2 mita
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
Yankho lolondola ndi C.
19. Ma charge awiri amagetsi P ndi Q omwe ali pamtunda wa 10 cm amakumana ndi mphamvu yokoka ya 8 N. Ngati charge Q yasunthidwa 5 cm kupita ku charge P (1 µC = 10-6 C ndi k = 9 x 109 Nm2.C-2), ndiye mphamvu yamagetsi yomwe imachitika ndi...
A. 8 N
B. 16 N
C. 32 N
D. 40 N
E. 56 N
Zokambirana
Ndizodziwika kuti :
Mtunda pakati pa zolipiritsa P ndi Q (r)PQ) = 10 cm = 0,1 m = 1 x 10-1 m
Mphamvu yamagetsi pakati pa ma chaji P ndi Q (F) = 8 N
Chaji yamagetsi Q (q)Q) = 40 µC = 40 x 10-6 C
Chokhazikika (k) = 9 x 109 Nm2.C-2
Anafunsa Mphamvu yamagetsi pakati pa ma chaji P ndi Q ngati chaji Q yasunthidwa 5 cm kupita ku chaji P
Yankhani :
Choyamba werengani mphamvu yamagetsi P, kenako werengani mphamvu yamagetsi pakati pa mphamvu ziwiri zamagetsi, ngati mphamvu yamagetsi Q yasunthidwa 5 cm kupita ku mphamvu yamagetsi P.
Chaja yamagetsi P :
qP = Fr2 / 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 Coulomb
Mphamvu yamagetsi pakati pa ma chaji amagetsi P ndi Q :
Ngati mphamvu pa Q yasunthidwa kumanzere ndi 5 cm, mtunda pakati pa mphamvu ziwiri umakhala 5 cm = 0,05 metres = 5 x 10-2 mita
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
Yankho lolondola ndi C.
20. Yang'anani chithunzi chotsatira cha mphamvu yamagetsi. Mphamvu yamagetsi yomwe imapezeka ndi mphamvu yamagetsi q ndiB ndi 8 N (1 µC = 10-6 C) ndi (k = 9.109 Nm2.C-2Ngati mtengo qB ikasunthidwa kufika pa 4 cm kuchokera ku A, ndiye kuti mphamvu yamagetsi yomwe imapezeka ndi qB tsopano ndi…
A. 2 N
B. 4 N
C. 6 N
D. 8 N
E. 10 N
Zokambirana
Ndizodziwika kuti :
Mtunda pakati pa zolipiritsa A ndi B (r)AB) = 2 cm = 0,02 m = 2 x 10-2 m
Mphamvu yamagetsi pakati pa ma chaji A ndi B (F) = 8 N
Chaji yamagetsi A (q)A) = 2 µC = 2 x 10-6 C
Chokhazikika (k) = 9 x 109 Nm2.C-2
Anafunsa Mphamvu yamagetsi pakati pa machaji A ndi B ngati mtunda pakati pa machaji awiriwa ndi 4 cm
Yankhani :
Choyamba werengani mphamvu yamagetsi B, kenako werengani mphamvu yamagetsi pakati pa mphamvu ziwiri zamagetsi ngati mtunda pakati pa mphamvu ziwiri zamagetsi ndi 4 cm = 0,04 mita = 4 x 10-2 mita.
Chaja yamagetsi B :
qB = Fr2 / 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 Coulomb
Mphamvu yamagetsi pakati pa ma chaji A ndi 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
Yankho lolondola ndi A.
Gwero la funso:
Mafunso a National Examination Physics a Senior High School/Vocational High School
