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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 electricq7a ds(;6ju1nihsz :g 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 attract each other?q:9eoliqonh d:kg( *dxl3b3 6

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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 negative charge to attract each other)yh fj 8*hh+sa 9fel je-rx*93hdi:ty ?

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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 glass r;wivciq+xx3 +ht qn7i7a08 *tx z lhv-od acquires a positive charge and the si; xilw8vx3q7 n+xh-t7hqz ti+av*0cilk

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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 sho ka*un1f.2bswxev 9 9f(hpx c9ws 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 ohwo 0 oo d72l/)hf7pmhas

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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 ta9c09r/d lxo j2fkv 0xhan 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 a *1 / +4q hotjwo1t8pfy4wmfbtre bound very tightly to the nuclei are referred tymtwf4ojw ptthf8*/+1 1 4qobo 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 elecq( u96*fk ipujecxbw :s213i dtrons are bound very loosely to the nuclei and can move about freely within thfcj q:63ixs 1 (u9wkep2dubi*e 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 brought near one end of an un w5yww /r6 wn2w6o5mcocharged metal bar. The end of the metal bar farthest from the charged rod will be charge5w ro56 n6wwc2oy/mww d

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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 t8p)czq m-4f7-fsxqakh1 n w. is neutral. They are placed near each other on an insulated table. Sphere B is briefly touched with a wire that is grounded. Which staz7x 18 qmkqs f-ta)f-c.4n whptement 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 rod charge an electroscop3z)1 rc/vz +nhs zvm84uni)bda i0 ,fie 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 electr 5ub -alsb,e1u(zdna ya8r a;sh5l,5b oscope is briefly touched with a positively charged glass rod. The elecaes5adsau(lnu5 h y85z -b b;bra1 l,,troscope

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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 briefly while a posit15 5i4jzo /lb 11tzjcidl k 3mpe4-wlpively charged glass rod is held near it. After the glass rod is removed,j l5izt31ekp 5mz114-p oi4lw /ldb jc 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 r5 ,f9mb7dh 7tra g3/mtv5uyxleaves separate. Then a negative object is brought n h9dvbr7mm3, gyut 755/arft xear the electroscope, 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)f u58. djwzbs object is placed 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,b8.f dws)j 5uz 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 Coulomb con:ul vf 2t:zqp: kb;b mnx46m+mstant $k$, 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 charge is largxk98 6 *9ehlqa2nykrber in magnitude than the6*9rlxa 8 neqhkkby29 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 chapqd8j vx* /7(ao k(lxerge and sphere B is neutral. They are placed near each other on an insulated table. Which statement best describe7xj(*vxoq lkp(d/ a 8es 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 ot; qdo(b(,,sy6q/qun ai kia 5uher with a certain force. If the charges on both objects are doubled with no change in separation, the force betweennai5q,bkyd( /u q ,aq;soi 6(u 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 sepact tdu)n 27*eirated by a distance d and exert mutual attractive forces of F on each other. If the charges are separated by a distance of d/3, what are the new mutuat2 du*ien c7t)l 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 ak,8 -hhwjj 5seach 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 distancehjsa,58 wjhk- 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 are6osmg h;aw pdxl)0dc5tm l6n4 4v8e4a separated by a 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 ed 8htvsc)e64 n4lmd0o lpg65wx m ;aa4lectron?

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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 vde9zr vb e414happens to thedbz4v9 er1 e4v magnitude of the force on the first 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 oj ldy5y6 hq61zf 1.0 m. What happens to the size of the force on the proton if the electron is moved 1yhyqjzd6 6l50.50 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 point c.ulj j1*lbhb. harge of -Q is placed at one of the square's corners, it is obser.1jb bl *jhu.lved 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 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 plaj kwp +0eyf*ul6ay2:eced at the centroid of an equilateral 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 magnupkj *:e yl6 +y2ae0fwitude 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 followingcxb. i uk8cqj5xgi f)846jr f1 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 froey 18 gt4.bopnjs+3kum a point 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 have a zero electric field value between a negative+:l+ aeb zwk1.j5rvy g and positive charge along the line joining the two cb w+v:r5+ ze.y1jakgl harges?

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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 be5zt ;miyz:m5p tween two positive charges along the line joining tym 5pti; zmz:5he 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 psitive point char(wkk fv:41gw7b0 l vgwges

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35#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The electric field showz gmzx2(r an/+n


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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 spar dg(nh+p-kivp4a ;. ui krb.5ce?

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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 equiw,y72e1naeh70sew k qh7ht5q+i4 hkn librium is placed in a uniform electric field. Give a statement concerning the electric field in the block's interior. n+,2hqkith1 0ee en57yaqw7 hsh7k w4

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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 metd8hps 2,ekp-uadt.y 6 al sphere of equal diameters are each given the same charge, the electric field (E) midway bt k8p-ay,s .p6uh 2eddetween 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 alub crm4.3 qfj 2s 0/usy 7n-zb1p/lghivminum rests on a wooden table in a region where a uniform electric field is directed straight upward. What can be sa7h2mgb v30.ciy1q/ fb/pn4rsjzs -l uid 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 c*7 oo3we*0tnlcijfx9i z s*(ku00xvi harge

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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 vjnh; 5wb*7kqenclosed in a hollow metallic sphere that is grounded. As compared to the case without the hollow sphere, the electricwh*n;v5q k7bj field at 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 con ) q-r d (y(zzt,fljupocs91x-gq+ ;utductors in static 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 by one electron 9yp-4x.a 4wl 1wvj- f g2c jv67mlltcois $e = -1.6 \times 10^{-19} \; C$. 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 +2.00 mC. How mana bf1*par tb.,6dv /jxy more protons than electrons does this piece of plastic apfv6x, j tadb/1b.r* 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 emvs d 3i3(0pu1 kg of protons?

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47#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An atomic nucleus ha f:uc(k io.1q- rte (ra1*ehqrs 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 h(nt44(dk) dzivogy: v .u (+f5ka :b1zpnmfzcharge values of 2.0 and -4.0 mC, respectively. What is zv:.f1ptkmn((:(ay+ ivo4zn5 ku z4)gh bddfthe magnitude of the electric 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, anu63.5elbe 9vbf.y6oduly tx4qm1 b2dd the force between them is 1.0 N. What is the magnitude of the . 5yuutl4ye b1fdo9b2.xl6ed3b mv q6second 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 forcj amby/b/f-0 xscf2 f0e 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 zan( hll: r9k;2 vs-sr3 8vrgh$30 \; mC$ 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 fork 2:ny-1vz l+o7v3q ra qsp9bkce. If they are moved to a new separs13qrkqnlzyo2 a9 k+7b -:v pvation of 8.0 cm, what is the electric 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 m:r t9s+f g 6tsxp0g7fx gw6k.pC are 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. Whaf9p:ts r+xgkg0 f.spg6 x6w 7tt 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 cf..+r :vcjt 4skzjzle. v93ci yo0x;xharge of +2.0 mC is placed at the origin, -2.0 m C to the right at x = 504i 0 .l.zc ez 3vcj.kr+v: xsyjft9x;o cm, and +4.0 mC 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 positions:6ura;(8e437qh- qsobxc l in/ywfe y 8 Q1 = 2.00 mC at x = 1.00 m; Q2 =e( fqr 3nl8y ax8hy7ebo6qwu/sic-4; 3.00 mC at x = 0; Q3 = -5.00 mC at x = -1.00 m. What is the 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 at the center m,ffxzt t7bxa + hjx4),t-9lsof 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 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 plb4 s+ ttfxm,)l,f7hx a9-jtz xaced 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 nC is at (0, 0.15d/+oif3v7t hh a* (n wcziu1v0 m); Q3 = 5.0 nC is at (0, 0). What is the magnitude of the neov+1f5n7 ci3 u(z h*tiv dha/wt 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); Qwfbn k0,e/0lq*pvwmmr.:0l j 2 = -1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the direction of the net force on the 5.0 nC charge?lwl .km0 ermb/v0:0 wq,p fj*n

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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 equilafp*b5flgw :yk-1 y2 peteral triangle which measures 3-:bppe5y21f wglkf *y0 cm on a side. What is the magnitude of 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 and +4Q, which afgl*c 001 qjj6wy4jr wre 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 such that the electrostatic force acting on it would be zerglw0j cyj0 jq 641*fwro?

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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 +9.0-C charge is at x = 4.0 m. Where on gjaf3q8 oy rop0 3 l1sz)bt,c0the x-axis can a third charge be placed so the net force on8p3o0 0bsc ogy3t,)lz qra1fj 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 ;0/cwi8 vcprv wb;vq6at x = 2a. Where can a third positiq0w6c pv;;cb v i8rvw/ve 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 mad+t+r* g1gt lz.qp9od+8o xjxss of 3.0 g. A total 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 ofgkn n jhm6 mtjk,t46f d9v8v*+ gravity by the attraction of a fixed pvn, mt6*vmnkhj6kjd g + 8ft49roton some 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 are hung from a common point by7 h/1pcsj-s2u rzuf w4 nonconducting threads which are 30 cm long. Both are given identical charges, and the electros-w41r7/s jsuh u2fzcp tatic 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 theonoqoy nv-l +2il216u;g8n ph magnitude of the electric field at a distance of 1.0 m fr8np2 vo ooyl l26n;1iqg+ -nhuom 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 distance of d4 pnluv0uu 742tv1y5l1kkau 1.50 m fromu1t l k2 vuanu7u14vy5l0kd4p 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 t-m 2rgywdr8ms xr od;58 byj*;dy)fg-est charge. What is the magnitude of the electric field at the location r-godj*8;dr xys mdmrf8;5wy2 bg ) y-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 the h,6 7 xdj,e lgz qa.(xd 5rsl.dy*xyo8direction of the electro .8(shyxy, 7 ajdld x 5l.dx6zq*rg,eic field?

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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. What is ewchvr8vf 7 rb/r a+ 5bor-+)lthe magnitude of the force experienced by a 1.0 nv7hra r5wrv+ -rc/+b fl8)b oeC charge placed 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. i cmi l3*ch renen*n.(4td2.y0 C and are separated by a distance of 4.0 m. What is the electric field aer*n3c4ty.ildn hn. i em(* 2ct a point midway between the two charges?

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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 :6)wkksvc9e(mx n7kofn/n9fw2tva5 cm mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mark. What is the electrivknn(w675kvfwn mtec2ao s: ) fx9k 9/c 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;+lrnvf xov115qhg a8 mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mark. At what po8vf5 1a;n1 qxh rvlgo+int on a line joining 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 =spb x1eua. f84 b;r .vkfwb+j, 0.20 m. What is the magnitude of the eleeu; br f4a.b8sk1b fxw+,p .vjctric field at the point midway between 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 of /ybggy lth(2/71g flma square of side 0.50 m. The last corner is ochbmt gf/2lyy7 /glg1( cupied 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 sid(tx afbli -xtj03 -,,cfjzc 6ce. Charges are placed at the corners of the square as follows: +4.0 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 a 0-6,jcftci, z( - xxjaftcb3lt 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 charedu(bp e; gekz1q lxgl +8d4k5b;1 zb2ge of 5.0 mC when it is placed in a uniform electrk zq 1e8ldzg+2kuex ;5g l4;(p1bdbbeic field. 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 chargec mpj g9,bvs4;k gex.5 of 4.0 mC has a mass 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 a8bt*u64br r0.sgi8b mvkel9rn electric field of 6000 N/C pointing downward. What charge must be placed on the ball for it to ts*e8rbr08 g4m 9bbk .viu6l rbe 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 chaq*q9b c0daqa5 rge of -2.00 nC. The ball is placed inside a uniform electric field, and is suspended against the forceqadb9c aqq05* 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 +2.02eg7 g-b xnbuvv 0hkh38/n/ hi mC. What is the magnitude of the electric field 5.0 cm from the sphere's surfangh/i ue hx/7 3vbvg 02nkb-8hce?

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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 3.0o 3mzk i 1f i;4hg*rd6iswe60s mC. What is the electric field 6.0 cm from the center s0ehm1d ; 3r6iiws46ki *zgf oof the sphere?

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