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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 conser hfrf /u +1r)rj:lu)l0 k-iczjvation of electric 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 cuq 3 r qv.s 6mgee2m.xifp6(*eharges to attract 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+4fd:6exmc mv positive and a negative 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 silk. During the process the,jx w aal7qnmh;c()e/ glass rod acquires a positive charge and te/(7;qc x)mawal, hnjhe silk

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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 sho0:re r xx7x5rgws 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 b 9x9j m:my/wxms aq;5has

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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 electrons than zqk4(te4.q ziprotons. 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 are bound very tightle z93 l bm (,w1p9/rydcetb3dty to the nuclei are referred to m3edr9 d3 z(cl/ 9be1 wtp,btyas

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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 loosely to the nucleiqt35eu(i jinhansvl/m(l5 (6 and can move about freely within tj ql5n (3ul5ishtnv /ea((6mihe material are 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 bj/o v ve(drh8ty*( ed77(n qfz4l8aa jrought near one end of an uncharged metal bar. The end of the metal bar farthest from the 8oal*eqrd 7af z47vy(j(jdth8 nv(e/ 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 neutraiyr 2 kt;jqr/(l. They are placed near each other on an insulated table. Sphere B is briefly touched with a j2iyqkr(;/ trwire that is grounded. Which statement is correct?

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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 roeba7 mcu5 bm fp22umu9 n* 1t8yz61g4,tb rlckd charge an electroscope 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 electroscope is briefly touched with a positiv 4p*v mbavt9y4iwtxixk6+h5+q8 siu /ely charged glass rod. The elecik5b+v /sw um ip qhx*ia8t6+t4v9yx4troscope

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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 6nsk nu+cw8o;fn1lag0ubnty q4r ,+ 7briefly while a positively charged glass rod is held near it. co n; u6kn+ ,0u4 grnsft1ba w8+nqly7After the glass rod is removed, 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 electroscope, and the)th ..k :9wkftb)ytee leaves separate. Then a negative object is brought near the elec. tw)fe .ytkkte9: )bhtroscope, but does not touch 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 placbgv v n)j x9tjdoz;jj60d64l,ed on an insulated table. A neutral metallic ball rolls straight toward the object, but stops before it touches it. A second neutral metallic ball rolls along the path followed by the first ball, strikes the first ball, and stops. The fil6v gdoj;x bn6, )t jz40vjjd9rst 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 Coulomv,/z mhadto3 d :n4 2rv8wfn0jb 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 charvdd ())sype48) qvatu ge is larger in ma (tapeqd d)8uv4))y svgnitude than the second charge.

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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 place;(ass0cz9dorl; 6 si/n sqew. d near each other on an insulated table. Which statemenw q(6els0szdn9 s;aor;.i c/st best describes the electrostatic force between them?

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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 onl+v v1.pkiy6 6b0v u(ywwsy7s both objectsyl1w.7ub+( sk vpi66 yw vsv0y are doubled with no 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 attractivcn6 urh*itq- cx7 p*7ce forces of F on each other. If the charges are separa-n x chiqu7 c*6t*7prcted by a distance of d/3, what are the new mutual forces?

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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 each other with a force 8* ys:qdhp6i i z( 9vscf2qt6cF. What happens to the force between them if one charge is doubled, the other charge is tripled, and the separation di*:z pi6ytcq2cqs6fvi(8 hs d 9stance between their centers is reduced to one-fourth its original 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 a8c4t o3q*yr mjd : q;wiob;;us distance of 1.0 m. What happens to the magnitude of the force on the proton if a second electron is placed next to the first eti3 4wy8;:;dr* bqoq;m cosjulectron?

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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. What happens to98mv3gm nu9tu the magnitude of the force on the first 3vgu9 tu8m9nm electron 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 separated by a distance of 1.0 m. What h:d: pzg4njk0es)3*cb is 2p ,xdsiy 4jappens to the size of the force on the proton if the electron is moved 0.50 m closer to tby2g xc djnk,e::p04 ) sip3dj* sz4ishe 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 squa*e6s 6 i w,oq/wq9p7 vxwtxl7rre. When a second point 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. Whvqp x9w ltwe*6sw/rx7 ,o7q6 iat is the magnitude 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 the centroid of an equib57q/oohc i 9: ij4jev 2kb)jdlateral triangle. When a second charge of +Q is placed at one of the triangle's vertices, an electrostatic force of 4.0 N acts on it. What is the magniicoq kj2/bj de 95oi74:jv h)btude 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 following i pd 13vzcjmjc -:3iha6s 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 point c+nw fc.5fv6.6ai7*nis *frw:dbnkivharge, 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 have a zero electrice6-2kvbwk b qm3t0l*v field value between a negative and positive chaev*q 2wb0t3 lv m6kk-brge along the line 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 vox sgndmf; 6*fj,a( 9zero electric field value between two positive charges along the line joining the two charg,6fm n9daj(o*fv;s gxes?

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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 p +f 8orjw*4cemzlg1;ht5 gg(vsitive 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 shown a)h8mr8g3r. s3n jarn


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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 intersect in free sx kfrlds /.lb4 o:47copace?

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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 electrostat2rkwrzo-v0n: r : pv0lic equilibrium is placed in a uniform electric field. Give a 00: lnv-r:rk zpvr 2wostatement concerning the electric 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 kr(; km 7r 065rsw qfk/,ewemqa hollow metal sphere of equal diameters are each given the same charge, the electric field (E) midway between the center and the suwf6k7mrks ;qmqke (,e/5w0 rr rface 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 on a wooden table in a region sg6q+ a lrcgxfn:pt+-.;h/e j45yiut where a uniform electric field is directed strairtge +yhgc5 jt .-:u pfi6sxl+n /4;aqght upward. What can be said concerning the 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 equilibrium near an electric charg/y.j ,rrg 95:je*ecu on+iyvo e

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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 is enclose6ars+guje19y ./c xyw8lif0 rd in a hollow metallic sphere that is grounded. As compared to the case without the hollow sphere, the electric field atg1ex6./0lris+cyr w fa8y 9ju a point directly above the hollow 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 static equilibrium.k p x)+c i)h2ywd/j v/m;lp-zt
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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 by one elecn8 9gq4y 3z: ljzoy)-lti+lcdtron 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 char:kco 9f/pen yl,*4 vioge of +2.00 mC. How many more protons than eleci kvono4: cefp*9 yl/,trons does 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 pro2ck j+9ko:y pt0l).ne ojhgj)tons?

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47#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An atomic nucleus has a charge0bd zxz pyg q10d(4:hy 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 charge values of 2.0 and -4.0 mC,vv pa;xy-9c / )hs+gsr respectively. What is the magnitude of the elvc/;+sp x va ry-gsh)9ectric force between 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, and the fols j.m0*/8oknfe 5 bmrrce between them is 1.0 N. What is ths0f b m5mre/*lojk n.8e magnitude 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 force between them of 1.0 N. How far apart a1df9 axaplv49pm 9b: 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 o +abvrkiu:y+. t ,d7x$30 \; mC$ 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, experience a 1.0-N force. If they a+ yu0ct m+yip-l0ak1ere moved to a new separation of 8.0 cm, what is the e1eu0+l 0p+ckyy ita-m lectric 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)g ol le(6fnho uc (d h)4 jm/:niltdi5t.ry+1 placed on the x-axis. The first charge is at the origin, the second to the right at x = 50 cm, and the third is at the 100 cm mark. What are the magnitude and direction6+l./oilhc1)d(tdgy tn)5u n(h4ile j o:rfm 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 place2)2c:wc7fq wr(mqn mujb6t4 i. mi9 ltd on the x-axis. A charge of +2.0 mC is placed at the origin, -2.0 m C to the right at x = 50 cm, and +4.0 mC cum w2nim rm.q:b7)iqttfwc j294l6 (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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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 htsvh, r j;w (wy-kjih((pi39positions: Q1 = 2.00 mC at x = 1.00 m; Q2 = 3.00 mC at x = 0; Q3 = -5.00 mC at x = -1.00 m. What is the magnitude of the for v shph,(jiy9 wwti(jh3k(r-;ce 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 at the center of a i )u;osahw,1fsquare, and a second point charge of -Q is placed at the uphau)w,;1 fsi oper-left corner. It is observed that an electrostatic force of 2.0 N acts on 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, 0); Q2 = -1.0 nyiv+3z,u .s f83sa,n;q5i 2 vlapc uceC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the magnitude of the net force on the 5.0 nC cha siy3;cnsf p ,vc8aq5i.3,v2u +azuelrge?

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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 = -1.0 nC is at (0, 0.10 m); Q3(hdw*v*czmjk r d*:e z2y6y4x = 5.0 nC is at (0, 0). What is the direction of the net force on the 5.0 nC ch *v jx6y 4zkz**m(ewrcdd2y: harge?

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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 amgdsdcxsh- w v4j3 bf;p .5m/:t the vertices of an equilateral triangle which measures 30 cm on a side. What is the magnitude d /sm3b5 :ps4cx.w;gd jf-mvhof the electrostatic force which acts on any 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 m *juo8gkaj 9/:fx8stnd +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 c fgsj:ot/kx *9uaj8m8 harge of -Q such 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 origin and a +9.h/zguydryg j/m b7m*, 1inj*5 0-C charge is at x = 4.0 m. Where on the x-axis can a third charge be placed so the1i/gg7 dj5uybm j r*yz*h m/n, 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. Where w0k* r get1olp g;o,n:can a third po eg:rw 0og*okn1pl t,;sitive charge +q be placed so that the 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 totaao exh)t6 x8)fl 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 against the force of gravity by the attraction of vu1 ek n;r4vdy(qppk +4sx1i3 a fixed proton so k;14r(kxe1qiu ppyv n3d+vs4me distance above it. How far above 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)cs;12ui2pdcepu 3q3gb iy hrr55k 1w are hung from a common point by nonconducting threads which are 30 cm long. Both are given identical charges, and the electrostatic repulsh bwu2gpkc isy)eq1d5 irp532u;3r 1cion 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 uw+lc7h.4f06zeme 9cw.et8 y ck nb2 mis the magnitude of the electric field aen .c0cl.w8 c9fybeu zmwe4+tm7kh2 6t a distance 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 o )0glmynd5eo vwgec0x3m4,9a distance of 1.50 m f,omo34mge9 n0)lgy de5x 0 vcwrom a 50.0-nC charge?

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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 from a small test c jy.14paeot z7/ epfw+harge. What is the magnitude of the electric field ato/ eaztpw f4y17pje+. the location of the test 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 m from a small test charge. What is i 4wvl*m 0tu1i tv k2q7r;ssg-the direction of the electric lwk;g2v *it0uim s-1v74 qstrfield?

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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 vvwh)w f./ kuri8y*5dfrom a small test charge. What is the magnitude of the force experienced by a 1.0 nC charge placedyu v *k/w5i8vr.f)hw d at 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 separated by a distancvt)lmvpy-mnsc6nu071 08igc e of 4.0 m. What is the electric field at a point midway between the two ch1m-s nc mu0pv l7gcn086yti)varges?

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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.hb cp oed8bc852o.l gpk 34-3krrzb9e0 mC charge is plapdpc 3ebrkb43cgle o5brh.o82 89kz-ced at the 50 cm mark. What is the electric 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 at the 0 cm mark of a meter stick and a -4.0 mC chasf-(of- 5uh y8cl)qoqrge is placed at the 50 cm mark. At what point on a line joininc f5y -o)sqohq(luf8 -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 and -7.0 mC are placed at x = 0 and x = 0.20 m. Whcg-rf 64dz ,; )5sw9j/ 8drdnwn3onqe+ndeshat is the magnitude of the electric field at the point midway benojd,nsn 946d dens/r-wrz dh ;cqf)8e5+ w3gtween 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 corners oe8kt64 dw76a jvpx t0keaa( -y3xe.lsf a square of side 0.50 m. The last corner is occupied by a -3.0 mC charge (6 lpty-467d8a30kwsvjexa ee .xta k. 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 i xba8*:z17x gt8p5ac6 u9,w.zzgmtdy s4wkrbs 1.0 m on a side. Charges are placed at the corners of the square as follows: +4c:gzktm xrtd7wa 8.6bgza b,s1p 9xu 48*yw5z.0 mC at (0, 0); +4.0 mC at (1, 1); +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 charge of 5.0 mC when it is placed in a uniform elecx: ndci26.wcmmjifp :) c* :rrtric xi:.d cm: rciwpmjf:nr *2c)6field. 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 mass ofsx 9bx/s *jj ok4jf/su5(odp 5 $5.0 \times 10^{-3} \; kg$. 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 60xzlu0gmc) /, 9pld7s s00 N/C pointing downward. What charpz)xl/0d u,s m csg9l7ge 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 carriyi9f, qv2 d+nles a charge of -2.00 nC. The ball is placed inside a uniform electric field, and is suspended against the fod9n lfi,+2y qvrce of gravity. What are the magnitude and direction 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 magnitcye .bq9pt+7q (m6x9utib1y zude of the electric field 5.0 cm from the spheremut9iq16x t.(p yez9+7 qbby c'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 carries a charge of 3.0 mv( tmabxh ( j d:a:l7;k8:zf(che wmh7C. What is the electric f7 dahjeh ( w( bkhtxzc :lm:8m:af7(;vield 6.0 cm from the center of the sphere?

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