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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 electric cx:vmtq;x,f* qrv* j0 sharge.
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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 lub*y xz/1i3bh0ch /b*rygm ;negative charges 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 positive and a negative charge to attract each oth5f;1gbk*m 5xdd dyfk/er?

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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. D5h p ;;y:z(tu3:wg txkoce p+vuring the process the glass rod acquires a positive charge a+5yt (vg c;e ux3:zw;tkp p:ohnd the 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 sh*-gi,:kgysew x6 : bodui-4 pm(7ujptd*k. gwows 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 alwaysv, ohrivnf 5l- 3ky-4d/h7;caw crw:c has

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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 prom uhe6st d()qdd9.63hzon w5itons. 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 t)eu j(qb7 hb)6jlg1cm 4mio(z ightly to the nuclei are referred ti 4(hu6) (q)mo1gmz ceb7jbljo 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 u5i 8ah+h,v) v7v2bs o7g ken6dz8incvery loosely to the nuclei and can move about freely within2 ci867vd,iu eg nhh5soz+bn)a 7 v8vk the 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 ofwaefkt:s5(zw ) qj84 u an uncharged metal bar. The end of the metal bar farthest from the charged rod will be charges wkq z)w:8 4t(u5fajed

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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 positiv)1v(a5(o (xwiulxadvo ht l/w kc-n08e charge, and sphere B is neutral. They are placed near each other on an insulated table. Sphere B is briefly twktao0dx-ilx5o(8 1n(/ul ch )(vawv ouched with a wire 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 rod charge an electroscope positively,gy(- iwq8e as?

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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 pd jpu7 b/h.quk*0d 2e+hbo5byq4a p g6jb9ob6ositively charged glassa2h u94 +jqbbogpeyo /0567 bd.bbd 6pq hk*ju rod. 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 briefly while a p6sk5qp2d z*.l) c.uv e2g cu l7qkolm9ositively charged glass rod is held near it. After the glass rod il7)2veopku glmqc.zs.ql6 cu*k 52d9 s 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 electroscz qycdy7* -.nen2y z4jope, and the leaves separate. Then a negative object is brought near the electroscope, but does not touch zd*.jy 2enn4y7-cy qzit. 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 .s:4)1xvhy m 4yrm miais placed on an insulated table. A neutral metallic ball rolls straight toward the object, but stops before it touches it. A second neutral metallic balmr.avmy1h :44yx s i)ml 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 Coulov/xz nqam (z h /pl6xi6+(2ncqthh.y2mb 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 charge is larger im ujoxkl+ o8v;9 8qux+n magnitude than the second chu+xqu 8;m+kv o8lo xj9arge.

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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 placed nearkpvk av;tnfnw4447h.y6 z.d m each other on an insulated table. Which statement best describes the electroshk .nw6.4avndp; v47 yk t4zmftatic 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 otha:h*e. w)xc *av;y mizwofp* 5er with a certain force. If the charges on both objects are doubled wi *;*a )pmfzeao y.w5vh* ixw:cth 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 3 c*s63 *bxu*gjshxea/+qh)mp n)aqe and exert mutual attractive forces of F on each other. If the charges are separated by a distance of d/3, what +n scaaxg)p j 6u q)/s33e bm***qxhehare 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 F. What ha2jxz2bs pa d)ub:mzb zo37w: r588 wqfppens to the force between them if one bbs8:zw8zfu 5odxa :qr 3z 2bmwj2p)7 charge is doubled, the other charge is tripled, and the separation distance 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 a distancelh6ui:.:o-s ls y)ost of 1.0 m. What happens to the magnitude of the force on-lst:y.isl) ou 6osh: the proton if a second electron 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 (p v y;x:nc bh2:wr/h)sb:pviz w 68usof 1.0 m. What happens to the magnitude of the force on the first electron if vc(s); p/i2:w : bzxs8h6v ruypb:w hna 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 happtp1 z w,p,v +qf;x8idpens to the size of the force on the proton if the electront,vwpf 1;x,+zq 8pdip is moved 0.50 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 se2xu6vca2 4o/wfq7mkjcond 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 onjxu2av/qck4 f6mo w2 7 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 placed at the centroid of an equilateral triangle. Wheno,sr(;b0 t8vzecqd( k 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 magnitude of the force that acts on the cenvq;drb8(e(o0t s,zc kter 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 is not a vectorfg.nzz2y.omkj+) )hkk,f)ub95 mv nt?

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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 charge, the strength of the ll; t1d8h1 ed gyahoe98,bh j 9nd;*rxelectric 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 s e)g ukj,x0ulz8 a2k*;2l o1tbnqm2jbetween a negative and positive charge along the lines, )*; a0lku j2ox jlge2tq8m2 1bzukn 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 e l./1k hdxl4kn7m;jbo lectric field value between two positive charges along the line joining the t1.b;d kjxk 4h/ mon7llwo 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- xo.3 ukgoq bix9gg73 near psitive 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 shui-/ 6 ,p6g xjehre6t,7hawqvown


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36#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Can electric field l/l*aor 8v ;tdwm5 bpj2ines intersect 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 equilibrium is placed in a0 oj2qph ,-krf 5ijh.mml6om**f4muk uniform electric field. Givpk5 i6mq *jojmf2* ufohr0 kl mm-h.,4e a statement 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 a hollow metal s /wsh whuw5(c( hq1pvqji4t0y)gm7x*fb/ ;chphere of equal diameters are each given the same charge, the electric field (E) midway between the center and the surface )vw0jih*fhuhqwtmcxq;/gwsh 7(5(c4py/b1 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 restsxy n681qmzv p) on a wooden table in a region where a uniform electric field is dire 6zq) 8yxvnpm1cted straight 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 elept0ml* .4wvhz ys l22lctrostatic equilibrium 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 is enclosed in a hollow metallic sphere that i95hu o *ogwgg4c/ lgx-fi:z;vs grounded. As compared to the case withouoc5g/zf*-: 4;g iwhxlug o9gvt the hollow sphere, the electric 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 conductors b6 u;g-nzbe j9in 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 is ixoim 2+* c9h4:ene fu$e = -1.6 \times 10^{-19} \; C$. 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. 1uh31ve tm2tmse h9a100 mC. How many more protons than electrons 2theuahm v3m e191t1s 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 prgg-bc 3m: xymy uugo)e6)c,+cotons?

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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 .btb zv6c yw;)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 charge values of 2.0 and -4.0 sp7ux zt*fp 0 *7t8,u yvt-1vjuopac;mC, respectively. What is the magnitude of the electric force between t8tav;p7tz, 1xspu u*u7otj-vf0c *p yhem?

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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 secon.ss hjww2+ 1c0 pt4n0hhta-hw5y2 p nnd charge, and the force between them is 1.0 N. What is the 2n shnywtnsh+ catw-h 50hp2 .j0w1p4 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 between3t t+z4bdvb6 mzw cmi(z.55 dq 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 6ke)ois .sk k*$30 \; mC$ 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 xx1:e tq0tmd)apart, experience a 1.0-N force. If they are moved to a new separation of 8.0 cm, t10:xt)m xdeqwhat 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 mC are placed onc a0o 2ja (q8if3pbg-h the x-axis. The first charge is at the origin, the second to the i-p 2jg0 8bh(o3a qafcright 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 of +2.0 mC is placed9w:4 pnv0 :cb0nn najhctq9r- at the origin, -2.0 m C to the right at x = 50 cm, and +4.0 mC at the 100 cm mark. Wc9jntpq:b acw 0:n4n90n- vrhhat 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 theub-a k4)xe ,bo following positions: Q1 = 2.00 mC at x = 1.00 m; Q2 = 3 ex o)ak-,4bbu.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 of a square, and a s1b3sjp8a4yzh/ 8r b vbecond 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 magn4pbbb/y1 3z r8ajv8sh itude 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 nC is at (0, 0.10 m); Q3 = y +/w-;qbyv*,wkk cr h5.0 nC is at (0, 0). What is the magnitude of the nek,-;/y wcqrh+wk*vy b t 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 = -1.0 nC is at (0, 0.10 m); Q3 = t7wf/l j9f xl+cr)+sp5.0 nC is at (0, 0). What is the directjx/pf+9+7wt fcrlls )ion 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 arei7 yg+jfe3j e: placed at the vertices of an equilateral triangle which measures 30 cm on a side. What is the magnitude of the electrostatic force jj7ye :e i+gf3which 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 are separated by 3.00:mfu0/1a ( y dlkf1c5tizq pq m. At what point, on a line between the two c pmlk:/(fzq tqa10yuc 0d1i5fharges, would it be possible to place a charge 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 +9.0-C charge is at x = 4.0 m.;s0 fj;e3gh /*nbxmaa Where on the x-es*a abf3jh0 /;gnxm;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. bqi : qvnh7-erwch. (1Where can a third positive charge +q be placed so that thnqqv( i7e-r:w 1.bh che 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 ti7m4 (bdt8/icv tz*gj otal 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 a fixzuns70ax7fsru2 olqh (9 u )0ped pu9f7xspslo(u270r n 0 azqu h)roton 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 by noncondu lxiw)q3jh)lm9v 4 i9xcting threads which are 30 cm long. Both are given identical charges, and the electrostatic repulsion forces them apart9wxxv l) l)jm9i3i4hq 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 magnitg(xh 2kp *2.sg4 4cztsgw i:xmude of the electric field at a distance of :2tz g(ggm4*sip.s kc2h4xwx1.0 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 electq)j6 7/hufp9( c1lg uk oeno+rric field at a distance of 1.50 m from a 50.0-nC chloh1g) e/j76ou +n upk(rf9qc arge?

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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 charge.ec ij1,1v+ wcs What is the magnitude of the electrews,c 1v +j1ciic field at 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 5gjpy ews ,l:qn9t p2n3l/dka6m5jv 2xm f( g2test charge. What is the direction of the electricpf9se 3g22 d5a :2 l 6pxyj/,kmlmwqt5jnnv( g 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 thel/;e hgde8to 6aqa7j,p: kx,i magnitude of the force experienced by a 1.0 nC char7ke/japladqo8t x6 ; , ige:,hge 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 3.0 C and are separated by a c 1kb73dzk 9snw9 jp9ldistance of 4.0 m. What is the electric field at a point midway between 9 wnkcdzj 1kl73 b9sp9the 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 pla1zo7 ;xx(vvwgk4 7 r ,pmkog ud2n*h/uced at the 0 cm mark of a meter stick and a -4.0 mC charge is placed at the 50 cm du 4 r;gnk2xuoz p1(7/xvg7owmh v,k*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 sev c+fm,49fwby. v9tf/ r0bla -4.0 mC charge is placed at the 50 cm mark. At what point on a line joining the two charges is the electric field zero+.csrv9/bfb0e 9w m, ffy 4lvt?

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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 et9l:h1 ( )wntu cjf85rqu ,knand x = 0.20 m. What is the magnitude of the electric field at the point midway between thl1qu8u k9jn( , wrte)5 fhnct:em?

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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 ar/ c9,losmzy eja,j;a05 3 tzsoe at the three corners of a square of side 0.50 m. The last corner is occupie ao,tc5szea,mzl0y s/oj93j ;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 corner z:p,(z b0hlmt7go1bis of the square as follows: +4.0 m:01g zhmblt( 7i,bpzoC 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 p*j1sl5(pbzn q1wu(p:)ce0 ru4 kwniilaced in a uniform electric field. What is tklwjcuenpu4 0b()(pz s:*niwr 11 qi5he 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 mCqe .hn6q+t(l;,5vfqc l giu i; 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 an electwdn-fj0n .p7a- i/ knzric field of 6000 N/C pointing downward. Whnnjiwanfk.0 d7- /zp- at charge 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 charge o u.ljy9.4g x1+j ofwtef -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 direction of +.ygtou.w1e4xfj jl9 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 - 1.hiaczum,v(bd1r acharge of +2.0 mC. What is the magnitude of the electri,zcma v-brda(ihu11 . c field 5.0 cm from the sphere'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 oy i1+2,ryr; niar:k -1a eal3ii-qvdo f 3.0 mC. What is the electric fqa2 in, -rii1+k;1r ela:yrd3 -vyaoiield 6.0 cm from the center of the sphere?

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