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习题练习:Physics Unit16: Electric Charge and Electric Field

 作者: admin   总分: 82分  得分: _____________

答题人: 游客未登录  开始时间: 22年08月15日 13:36  切换到: 整卷模式

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1#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State the law of conservation of electaxw 71oq2 dl7)vpbi)b ric charge.
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2#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Is it possible for two negative charges to attrac )c )xt97uardft each other?

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3#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Is it possible for a positive and a negqxyy1uh+ )(a lhf5e:vative charge to attract each other?

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4#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A glass rod is rubbed with a piece of +sgdw8drw8 )a silk. During the process the glass rod acquires a positive charge and the s8asd d )wgw+r8ilk

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5#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A proton carries a

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6#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The model of the atom showswwu/ sg,tqxu 4gy2-xo1 ii41m a

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7#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A neutral atom always hasp29t quk/ko) n8x o:fc

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8#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An atom has more ele*q h;oh*ih jl9d01qtku3s n 0octrons than protons. The atom is

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9#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Materials in which the electrons arctpy,o 1vq:e. fk7/yte bound very tightly to the nuclei are referr ypc:k,q.ve f7tyo1/t ed to as

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10#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Materials in which the electrons are bound very lo8 j mabfgomk86- b1zv6)(1 pd5el 1stfgv 9bceosely to the nuclei and can move about freely within the material ab6f vdb 1b8 epz9 mt1 fksa5m)1co6-ge8g(jlvre referred to as

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11#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A negatively charged rod is brought near;d01by;bgd; da t7 vgr one end of an uncharged metal bar. The end of the metaldyv1 0b rt;ab;7ddgg; bar farthest from the charged rod will be charged

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12#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Sphere A carries a net positive charge, and sphere B is neutral. They are place kjcr9 ,3ghy8o65xwvk d near each other on an insulated table. Sphere B is briefly touched with a wire that is grounded. Which statement is corrx35j6y wkvh9go r c,k8ect?

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13#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How can a negatively charged rod charge an electrbw0 1,4q y:zsrqa 5otw+h xm5hoscope positively?

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14#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An originally neutral ef0ri i0;ynugtw y sa6z+q j)3yr.19awlectroscope is briefly touched with a positively charged glass rozy. i tgrw)9 ;rua 6wq0f0j 3any+ys1id. The electroscope

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15#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An originally neutral electroscope is grounded br4d w26edzv 5tiiefly while a positively charged glass rod is held near it. After the glass rod is removt5vd6 z2ed i4wed, the electroscope

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16#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A positive object touches a neutral electroscopeb s7t;/jrhlm r9v, 0m 7jopl)ufg/xh1 , and the leaves separate. Then a negative object is brought near the electroscope, but does not toucr/hjh7,m0l9v1/rtp bxm ;jg7u l )o sfh it. What happens to the leaves?

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17#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A large negatively charged object is placa/j zboz a25*amvq+(gi 0tp3med on an insulated table. A neutral metallic ball rolls straight toward the object, but stops before it touches it. Aat*0 v2 +m (5zpam3oazbjqgi/ second neutral metallic ball rolls along the path followed by the first ball, strikes the first ball, and stops. The first ball rolls forward, but does not touch the negative object. At no time does either ball touch the negative object. What is the final charge on each ball?

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18#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Charge is

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19#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What are the units of the Coul+c nzmrhc.9 9uomb constant $k$, which appears in Coulomb's law?

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20#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two charged objects are separated by a distance d. The first 0zlrn 8wbc ) 0wv oe2m+c:wr2acharge is larger in magnitude than the second charge0oezwwnc:2 r lv rc+w)a0 28bm.

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21#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Sphere A carries a net charge and sphere B is neutral. They are po: wd-wh 1spe(w eev301k+frvn;g 9kilaced near each other on an insulated table. Which statement best describes the electrostatic force between themw(1r;3vw n0eiowf1vh- kgek s+ep d9:?

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22#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two charged objects attract each other with a certain force. If the charges oxgh 2+;2nkdsyn both objects are doubled with + 2xy2n;dhskgno change in separation, the force between them

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23#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two charges are separated by a distance d and exert mutual attractive fo1qz1(b+ ubis8e 6ugx;lj pa,arces of F on each other. If the charges are separated by a distance of d/3, what are the new mutual fori( ; bqb+e,1uajgza6s1 x8pu lces?

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24#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two charged objects attract eay v- gqeo-c6b/jtm*4nblp;b 4ch other with a force F. What happens to the force between them if one charge is doubled, the other charge is tripled, and the separation distance between their centers is reduced to one-fourth its originj/g - bv;bq*4ct ly-obemn4p6al value? The force is now equal to

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25#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An electron and a proton are separated by a distance of.zmi, g0vq* ek xmpknq7p5+1y 1.0 m. What happens to the magnitude of the force on the proton if a second elec5xgq. +z ie1v0p7*y pqnm,kmk tron is placed next to the first electron?

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26#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An electron and a proton are separated by a distance of 1.0 m. Whap f5a13hijscbf0 8; cz.we1h kv7sr3zt happens to the magnitude of the force on the first elec5hz;z17 8i.kejafcb swsfpr3 301v hctron if a second electron is placed next to the proton?

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27#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An electron and a proton are sepa r9 kn7317+vb )kbnn:nl b+i kx quxg(lw*9ungrated by a distance of 1.0 m. What happens to the size of the force on the proton if the electron is moved 0.50lb+ubnb(k*x:7 grgvnwn 3k917knnul)+9 xqi m closer to the proton?

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28#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A point charge of +Q is placed at the center of a square. When a second poinn0d5 ww485n 8icgj ) spcg;idvt charge of -Q is placed at one of the square's corners, it is observed that an electrostatic force of 2.0 N acts on the positive charge at the square's center. Now, identical charges of -Q are placed at the other three corners of the square. What is the mais8d pn8c dwgcw054nj5v; )iggnitude of the net electrostatic force acting on the positive charge at the center of the square?

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29#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A point charge of +Q is placed at thwu- /mq4u;j sy/uvyj 7e centroid of an equilateral triangle. When a second charge of +Q is placed at one of the triangle's vertices, an electrostatic force of 7;4wm/y uvy- su uj/qj4.0 N acts on it. What is the magnitude of the force that acts on the center charge due to a third charge of +Q placed at one of the other vertices?


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30#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which of the followi4s4 ul(pt j76nekl*ppk*pwt k;39qltng is not a vector?

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31#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  At twice the distance from a pgj pc7,yhy) fvl+ 6i+voint charge, the strength of the electric field

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32#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Is it possible to havw zti+ -b rxn62;;uclae a zero electric field value between a negative and positive charge along the line rnb 6+-;tx ul2i cwaz;joining the two charges?

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33#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Is it possible to have a zero electric field value between two positive charge:eomo/( / 8avku4bmwxwjv,: 16 ekwyu s along the xav:6e m1m/wwjuo8/by 4wveuo :k(k ,line joining the two charges?

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34#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Electric field lines near psv2,5 jtlc keda0mcn, 0itive point charges

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35#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The electric field show x)qku-:*)o /wymmfwun


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36#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Can electric field lines inv o- ise-7p4l nc 73k*lvn.v)sop.znftersect in free space?

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37#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A solid block of metal in electrostatic equil :kez ,khz jt2rxx5vl 4.c;-hz+ zlk-librium is placed in a uniform electric field. Give a statement concerning the elecklk : cjvxtl ,;+zh-- 2e.r54hzx zlkztric field in the block's interior.

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38#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If a solid metal sphere and a hollow metal sphere of equal diamr7 w n/tsuaj+p+q( .o0r us8(li0 j3l:mtc epgeters are each given the same charge, the electric fiel (c0pj.7qumjn ea st(og8+l wir u :0rl/stp3+d (E) midway between the center and the surface is

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39#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A cubic block of aluminum rests o65 , o)s)yoft8heh 3 sgmpa9odn a wooden table in a region where a uniform electric field is directed straight upward. What can be said concerning s9fmt oe)ad,635hp8 ) oshg yothe charge on the block's top surface?

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40#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If a conductor is in electrostatic equilibriuh-t:1:uq7z lzb8hr jhm near an electric charge

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41#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A positive point charge is5u:o7hy egl v( enclosed in a hollow metallic sphere that is grounded. As compared to the case without the hollow sphere, the electric field at a point directly above the holl 5v7:(ougelyhow sphere has

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42#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State three properties of conductors in ettd9j9k7b8,8r 7 falbi5 xbfa j 6;jrstatic equilibrium.
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43#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Gauss's law.
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44#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The charge carried b)lg:2ishw dzky:t.0ju- q55-nw dn yoy one electron is $e = -1.6 \times 10^{-19} \; C$. The number of electrons necessary to produce a charge of $-1.0 \; C$ is

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45#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A piece of plastic has a net charge of +2.00z oggl)n10wk;: tih+01s ihbg 7do5kv mC. How many more protons than electrons doe ngkhikw 1voz7+gs 5h:itgl1; d0bo)0s this piece of plastic have?

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46#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What is the charge on 1 kg of protonsig4spi; iy qj oyhx09 z;27x5v?

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47#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An atomic nucleus hasp,-wtz).xgm8mmsbo. ; yyk f: a charge of $+40e$. An electron is $10^{-9} \; m$ from the nucleus. What is the force on the electron?

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48#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two point charges, separated by 1.5 cm, have n+7uk9ri(indq jp,k0 charge values of 2.0 and -4.0 mC, respectively. What is the magnitude of the electric force b i n+0pdr7j9qk (ui,nketween them?

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49#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 1.0-C charge is 15 m from a second charge, an:oje/ wc n4j+qd the force between them is 1.0 N. What is the maq/e:no j4 +jwcgnitude of the second charge?

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50#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two 1.0-C charges have a f(q1hmzi v(knc4( mfpmej.n,k;x d idgf846+lorce between them of 1.0 N. How far apart are they?

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51#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The force between a qi6sbd 5) *nl ;ykm.zq$30 \; mC$ charge and a $-90 \; mC$ charge is 1.8 N. How far apart are they?

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52#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two point charges, initially 2.0 cm apart, experiaoe a j:v9byl,,d7 / w5lp4aocence a 1.0-N force. If they are moved to a new separation of 8.0 cm, what is the paoev: 4l,/75dw c ybola,aj9electric force between them?

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53#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Three identical point charges of 2.0 mC are placed on the x-axis. oef68 /03s v*wf6ip*vb5leh x sm2dtp The first charge is at the origin, t52wbv dp*lf s*h3p /osxf6 mv0ite86ehe second to the right at x = 50 cm, and the third is at the 100 cm mark. What are the magnitude and direction of the electrostatic force which acts on the charge at the origin?

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54#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Three point charges are placed on the x-axis. A charge o5uahlp jlyf;+7(ay4of +2.0 mC is placed at the origin, -2.0 m C to the right at x = 50 cm, and +4.0 mC at the 100 cm mark. What are the magnitude af yohja4l+up75; al(ynd direction of the electrostatic force which acts on the charge at the origin?

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55#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Three point charges are located at the following positions: Q1 = 2jmxadm 8 efb.74-zzq05l o0qc.00 mC at x = 1.00 m; Q2 = 3.00 mC at x = 0; Q3 = -5.00 mC at x = -1.00 m. What is tqmzed4lmf0c8-xboa 7.qz 0j5 he magnitude of the force on the 3.00-mC charge?

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56#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A point charge of +Q is placed atb4s.j b e(q3uo 7h3nim the center of a square, and a second point charge of -Q is placed at the upper-left corner. It is observed that an electrostatic force of 2.0 N acts om b43sjni3uh q(7.boen the positive charge at the center. What is the magnitude of the force that acts on the center charge if a third charge of -Q is placed at the lower-left corner?


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57#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Q1 = 6.0 nC is at (0.30 m, ,gzga ie/zjoslrrsb* j yq 0,y1;+w*(0); Q2 = -1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is thjgrw1*s*ybqz(z l,jy+eso,a/0 irg ;e magnitude of the net force on the 5.0 nC charge?

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58#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Q1 = 6.0 nC is at (0.30 m, 0); Q2 =oi 6w 2jwh1sr7 -1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). wros61h7i wj2 What is the direction of the net force on the 5.0 nC charge?

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59#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Three identical charges of 3.0 mC are placed at the vertices of an equpol..w6;ex ei- kekz .*hck9bilateral triangle which measures 30 cm on a side. What is the magnitude of the electrostatic force which acts on kzx*6.;ko epk e.cbwi.- e9lhany one of the charges?

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60#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Consider point charges of +Q a ui :prlj*6i ,g7a)rvend +4Q, which are separated by 3.0 m. At what point, on a line between the two charges, would it be possible to place a charge of -Q sucha)jr li:ugrp6e7 v*,i that the electrostatic force acting on it would be zero?

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61#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A +3.0-C charge is at the x)fksd q /*0kv :(kx0:fgazrqez6r ry;4 s9 qhorigin and a +9.0-C charge is at x = 4.0 m. Where on t)qk;/zvr( s4 aq*x:0dxz9skqf er rhf0g:ky 6he x-axis can a third charge be placed so the net force on it is zero?

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62#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Charge +2q is placed at the origin and charge -q is placed at x = 2a. Wh)9j57l nklaoxru* yr *qw j9g7ere can a third positive charge +q be placed so that thnj9ur5j xkl*9o lr7yw)aq *g7e force on it is zero?

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63#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A copper penny has a mass of 3.0 g. A bqvm;ac)x0+i(s )ntmtotal of $4.0 \times 10^{12} \; electrons$ are transferred from one neutral penny to another. If the electrostatic force of attraction between the pennies is equal to the weight of a penny, what is the separation between them?

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64#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An electron is held up 2/kb v,e49teqfeug /zug bh/3 against the force of gravity by the attraction of a fixed proton some distance above it. How far abovevh /g,kq gufue/4 be/9bez32t the electron is the proton?

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65#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two 0.20-g metal spheres are hung from as wm0xx -elcz(bpj c4geg3a;c6v.:5g common point by nonconducting threads which are 30 cm long. Both are given identical charges(5c-s0.j c 3e6cg;wx xgzgam4v:l pbe , and the electrostatic repulsion forces them apart until the angle between the threads is $20^{\circ}$. How much charge was placed on each sphere?

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66#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An atomic nucleus has a charge of +40e. What is the magnitude of thz*l 50mi8 nf5jjz.oj ie electric field at a f njzz*o0l5jj5i i.8mdistance of 1.0 m from the nucleus?

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67#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What are the magnitude and direction of the electric field at a distanc6uuq8;n5ygnvy 8- tn ve of 1.50 m from a 50.0-nC 65ngq;u 8- yt yu8nvvncharge?

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68#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 5.0-C charge is 10 m froeku:yo k7s;+ em a small test charge. What is the magnitude of the electric field at the location of the tes7e:ey sk ou;k+t charge?

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69#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 5.0-C charge is 10 n m/6t a0ixjvhas1m ,2m from a small test charge. What is the direction of the electric field2mts 1m/ aj0hx6i,an v?

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70#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 5.0-C charge is 10 m from a small test charge. Wh3ut0 yl*vq l9 8hyz0byat is the magnitude of the force experienced by a 1.0 nC charge placed *t 0vyqz 80 h3lbu9yylat the location of the test charge?

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71#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two point charges each have a value of 3.0 C and are separate3j )qyouh7pa dl/ ,y2ed by a distance of 4.0 m. What is the electric field at a point midway between the two charyhp /el,)dy7u2qo3a jges?

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72#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 5.0-mC charge is placed at the 0 cm mark of a meter stick and a -4.0 mC chargjm sd(yjxd f:d: i:w*;e is placed at the 50 cm mark. What is the elect:;:y(ijj*wdm :dfd sx ric field at the 30 cm mark?

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73#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 5.0-mC charge is placed b 6;uzkwy92 txat the 0 cm mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mark. At what point on a line joininwtkux yb;9z62 g the two charges is the electric field zero?

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74#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two point charges of +3.0 mC 1wefb;q*tkf :(a:f ja )faew9and -7.0 mC are placed at x = 0 and x = 0.20 m. What is the magnitude of the electric field at the point midway bet ;q(a:f:f9 b1feaf) ak*w wjetween them?

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75#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Three 3.0 mC charges are at the three corn:g 5qu tql(kj*ers of a square of side 0.50 m. The last corner is occupiequ 5(qjt*klg:d by a -3.0 mC charge. Find the electric field at the center of the square.

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76#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Consider a square which is 1.0 m on a side. Charges are placed at the cornq;-3 ts)u gvzeers of the square as follows: +4.0 mC at (0, 0); +4.0 mC at (1, 1)z-eq u3 ;g)vts; +3.0 mC at (1, 0); -3.0 mC at (0, 1). What is the magnitude of the electric field at the square's center?

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77#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A force of 10 N acts on a cmwd*kjmgt.fa zw)n/7 ixy v; b,/. ad2harge of 5.0 mC when it is placed in a uniform electric fax tn;)j k.db.d i7y/ g2mzww m/*,vafield. What is the magnitude of this electric field?

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78#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A particle with a charge of 4.0 mC has a mass6n wlkbpx/ 2le6p3q68 9wi-lnxdy 5aj of $5.0 \times 10^{-3} \; kg$. What electric field directed upward will exactly balance the weight of the particle?

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79#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A Styrofoam ball of mass 0.120 g is placed in an electric field of 6000 N/l rih ak5vp.) 8mv9jlo**nh b, 8gqxb6C pointing downward. What c.5*pjlo b8ivh k mg9aqv*x h)nrlb,68harge must be placed on the ball for it to be suspended?

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80#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A foam ball of mass 0.150 g carries a qnt.bv4p 8djh* )v9ipwn( ms9charge of -2.00 nC. The ball is placed inside a uniform electric field, and is suspended against the force of gravity. What are the magnitude and directioppq(wv) d9tj8 mnh*9 vbsn4 i.n of the electric field?

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81#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A metal sphere of radius 10 cm carries a charge of +2.0 mC. What is the ma:0fbcx rtk xx9 3i1cx-gnitude of the electric field 5.0 cm from the sph91 xtrk x3c0cbi:-xf xere's surface?

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82#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A metal sphere of radius 2.0 cm carriesmsvo-(a5lf,ywsk u3rqvi5 + 2x, mjs 7 a charge of 3.0 mC. What is the electric field 6.0 cm from -rljsvsi mak s f ou23(wmx v5y,7,5q+the center of the sphere?

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