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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 achmv)x .ko/ je z*)/celectric 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 negativ pskccae/*uds-o8c / 42h8 yiae 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 cha)4/lx;rqy .gu s zto(xj fj3k-rge 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 glg kgx ..h; v:ztzwrraf2ap0/,ass rod acquires a pgfrr:vp ta, /;akzxh.0 gwz.2ositive charge and 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 shows3 9 9rr.lt.w7oevk(;x 2z bv: wmxunqc 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 alwayrkn4fm- 6eq3s7el4s8 ddi + aos 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 electro41qz m6l ne-xua*apb 7:elcr;svio/6 ns 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 are bound very tightlcu)9)vfx: 0x jbvuyoz eli;:pvj,ch 2u39:iky to the nuclei are referred to ,9iez)jf xyxlvc2:i3cov bpv u h;uk:j:u9 ) 0as

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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 nuclei and can .22v2qx 4hqeqj(eg/hvio (jm move about(x4 gq 2 .j/eeqqh(ovihm2 j2v freely within 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 of an uncharged metal bar. T1zr- 3 c6 i/wu.kip o36kzbthjhe end of the metal bak-iw ic6 . b 3zz1jh3rktop6/ur 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 neutrak m,ha7cw63-m lg 8twvl. They are placed near each other on an insulated table. Sphere B is briefly touched with a wire that is grounded. Which sah3m87k-t w, m6g wclvtatement 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 chag-wm ft)tjkf57d ) o42scwez,rge 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 eleiri0 t.v zty-47yn) 1gkteil5ctroscope is briefly touched with a positively charged glass rod. The elect)y4. 7 kieltr1zi igyt 0-5vntroscope

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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 -dt,b :lyo:agpositively charged glass rod is held neadol :gtyab,:- r it. After 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,qkv)s ileow /gef9aj+w w, a 1e9/6u2f and the leaves separate. Then a negative object is brought near the electroscope, but does not touch it. What ha9)fqug wew/ew 2 s/a,jf 6l1ev+ikao 9ppens 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 placed on an insulated table. * r k12cv8tbyr 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 vr2*brkt 1cy8 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, aml)).pbabromb 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 separakc9pb9;d2c wjted by a distance d. The first charge is larger in magnitude than the 9w bcj9ck ;p2dsecond 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 i-l;3n;tr 4 p3d/si hx a+yqb 2nyyp-zplaced near each other on an insulated table. Which sd n;32y+p3n/y-pq4b h ar xz;yl-tsiitatement 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 forc c7 aum8*b (tad5rer2re. If the charges on both objects are doubled wmaec(a7 t r*bd5u82rrith 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 xbx7m+u7 ( jojattractive forces of F on each other. If the charges are separated by a distance of d/3, what are the new mutual forceuxxj +o(bjm7 7s?

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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 ea51)cz3sql3,qym g hckch other with a force F. What happens to the force between thcl,)g3qy1z k sh 3mqc5em if one 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 distance of 1.0 m. Wh6pv6ro)ft n-;mdv *s hat happens to the magnitude of the force on the proton if a 6nfo*-d;r) ph v st6mvsecond 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 p:4 ye*qrp(ykseparated by a distance of 1.0 m. What happens to the magnitude of the force on the first electron if a second electron is plac*yy4re (p: kqped 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 proto9;ier hkxadg0 lq1l.gmi,-m .n are separated by a distance of 1.0 m. What happens to the size of the force on the proton if the electron is moved 0.50 m closer to the pemqk.m0 ll9 iix .-;,g1dhr agroton?

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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 centg6hs w1pw:)and,fx2 ger of a square. 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, identicalwf1hpsg xnaw:6 ,dg2) 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 equilatera)4n/g08uf3yj7lx oa lh 4p msvl 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 magnitude of the force that acts on tpn 78l/jm y4ux)h34ovf0ls aghe 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 is not a (wcydv,+i69z kzys7yvector?

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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, t p9* mye/yj*ozb44 y2 egnxho .zcp:y.he 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 elece.kpvh 8+vz.-h1wg3u/zob j38 mee xctric field value between a negative and positive charge along the line joining 3vez+z o8.ug1 k83xwcp hmhe.v b-e/j 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)(mq0jfcd yqc53 n,yllectric field value between two positive charges along the line joini0dlj cf53)qq,cn(m yyng 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 psitive point ch7ok k 4dg7mbil5u-zjnl2 7/ bparges

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35#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The electric field showpm1.8qu cgz)vws 5yd dmwml:54 ncv3/z4x 0sj 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 lineqqro-t2 8o7 (em ezt52x ks1pd7iek*gs 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 equiliq, *jo tj.:un*k qv s4q+idz.lbrium is placed in a uniform electric field. Give a statement concerning the electric field in the block's interito+qn4.vi *l:u,.js z q *djqkor.

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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 diameters are eacis,hd7h+ bh h lw2q2x,h given the same charge, the electric field (E) midway between the center and the+hlh 2,ixh2h,7bsd wq 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 on a wooden table in a region where a unif7cdt9g pyd3b, orm electric field is directed straight upward. What can be said concerning thycp ddtb ,93g7e 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 equili7* fufv,h(:nn/ybuod-.9 rh6jjuq fs brium 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 is groundeux *mm6 0r a1bluk915jib elsoykn-d. 7i:;ehd. As compared to the case without the hollow sphere, thymhk5do-:iaxik b.l1 um;n7 e 61s9lj b*e0rue 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 h i+ycsrmsu; ea*3mg9h m1e*7conductors 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 elect oc. az2 c:9)z:cptuidron 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 +2.00 7qsf:o-hjp3 os dl i.6mC. How many more protons than electrons does this ph qd:ps. fooi63l7s -jiece 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 yq4ey6 :o os:t* du8tvof 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 has aram m*t gy7/a)ka- mf4*c:fgfgmc, 6k 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 ch ntb:aw2 ;f-oparge values of 2.0 and -4.0 mC, rb:2tpaf -; nowespectively. What is the 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, and the )yb3fvx-57ezh fah+ sforce between them is 1.0 N. What i xv+f )5f 7-aebshhyz3s the 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 b201 dzdvix-4(jrujst .q ra p1mpm( d0etween 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 1 )hpulw 0)kdcd- 2mqbj kqv9*$30 \; mC$ 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, ygo9wua7 ldeex.+v */experience a 1.0-N force. If they are moved to a new separation of 8.0 cm, what wu/.d9y leox g+ea 7*vis 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 on the x-axis. The first /c 6)jfq.wo 4uso t,3dw/*0l symjvu ncharge 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 direction of the electrostatic force which acts on the charge at w. /)om3luj6sftn4, cou w vyq /dsj*0the 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 ,f9 gikln i6s-1f0jv* pzk ab1ipp:l/ of +2.0 mC is placed at the origin, -2.0 m C to the right at x = 50 cm, -fli*n 1ab,pvifkpi6 09l1z:p/ks jg 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 po4yteh kyp b3rsyi(l3ef-6,xu48h8fn sitions: Q1 = 2.00 mC at x = 1.00 m; Q2 = 3.0 e(n8ixkyf6h t4 3spfhy ,y8-e3lur4b0 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 placedz e igz,kd,(ar/ofn:) at 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 on the p)rzdgf , k:n,az( o/eiositive 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 nd4n , gn* ihnfe63+( g )njztz-wxh6dvC is at (0, 0.10 m); Q3 = 5.0 nC is at (0jz(4g*n+igtv,dn )3-w6 6xnh fn hze d, 0). What is the 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 = -1d3t ijs*zx 97 mubqv71.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). Whatxdib* t71 37vzsjq9 mu 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 az5n1evgtx - 2mt the vertices of an equilateral triangle which measures 30 cm on a side. What is g-n tve51xz2m 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 are separated )nn7dr5nu: x cx..b cf m6jm30zv(poeby 3.0 m. At what point, on a line betwd:.zc bmn5erx3o6 px0()j. c nuf7nvmeen the two charges, 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 /pol* f5 n.t8qsa)lgmand a +9.0-C charge is at x = 4.0 m. Where on the x-axis can a thirdl qs)f .po85mlngt*a/ 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 ori 8u3wdly6;fg8f3dn0ovchlns( - ) zoygin and charge -q is placed at x = 2a. Where can a 8du60;osffhyv )g3yolzd 8l- wn( 3cnthird positive 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.)wdq8 jqud;/c*gjrm8 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 of gravity by the att/ cg3o0sevw.9 jeq;zxraction of a fixed proton some distance above it. How far above the electron is tho3/jeeq cvsx0;g9wz.e 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 fro9ux;m .c i uor rldfc7k73.9tjmdf6i; m a common point by nonconducting threads which are 30 cm long. Both are grd.9 o uf9 ju; dik6t37lfxr. ccim7;miven identical charges, 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 the elec6kb5pdnt iy) hdf0 bxeg.*/, itric field at a distance of 1.0 m0bg/iip5y,* 6hdnk.f )ebdt x 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 d ox+n1p hat0u9irection of the electric field at a distance of 1.50 mu0 9xhp 1o+atn from 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 smalvlilg7ge* bua,g *,o k rcjg-t2mv40 ;l test charge. What is the magnitude of the electric field at the location of the tesu * ml,g,v2ri7cggb-l4gt v0 joe*ka;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 m f wa,u0m /3 tor7csnd1hrom a small test charge. What is the direction of the electric field? 0h/o,wn7ur 1samtc3d

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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 test2nkpii 0 wtl.uh k-8(l charge. What is the magnitude of the force experienced by a 1.0 nC charge l 0iktik.2h(l 8puwn- 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 5kub w;r-o5a5wd9+ ;scdonwm C and are separated by a distance of 4.0 m. Wh-aw;wk59 5dcs wun 5;odor+bmat is the electric field at 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 placdyfq4uwk(9 i1+.igc8+f )qip. onypf ed at the 0 cm mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mark. What is the electric field at the 308i y1uoi.ng d.qciykq+p ()f +pw f4f9 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 mCfgt ddc5,:8bvvi*+jr+aq3o f charge is placed at the 50 cm mark. At *dvv,ag oc58dbiq3 +jtrff:+ what point 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,/nn/gssjz 3 x.0 mC are placed at x = 0 and x = 0.20 m. What is the magnitude of the electric xs zngs/,j/ 3nfield 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 1y*gob(4kl pt1 ykw.yat the three corners of a square of side 0.50 m. The last corner is occupied by a -3*typ y1lb.1o(kwy g 4k.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 ap:ntlbh *r 3a2 side. 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 at the st 2:n blh3pr*aquare'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 bs ud z6lmn bfjg*y9ff6q8,1yd:: +pbm dk/u/in a uniform electric field. What is the magni:fkbuybdqd1jd y m/6m,n *l:sgbfp +zu8 f/69 tude 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 chargmg c.0 i8izs ilv ra9. lyosp.l(8.ar+e 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 an electric field of dpa5un :z; ab ,79 40d8;dl0zg8ndl zs jilsld6000 N/C pointing downward. What charge must be placed on the ball for d0 na s7ndz;5 , ajsl du0lpidl:4b89zzg8;dlit 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 of -2.00 nC. The bavs,8b+y(d fy 1; 5 ha8zkgapssll is placed inside a uniform electric field, and is suspended against the force of gravity. What are the magnitude and directf5gv;ss a ha, +1zky88sydbp(ion 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 akz7 8 )igs+ck +cd:dgx charge of +2.0 mC. What is the magnitude of the electric field 5.0 cm from tc z)xc8d7i++skg :kdghe 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 of 3.0 mC. What is th.hvj0y vx8;wsq+1skn7md f*bbb,) al 4a6o roe electric field 6.0 cm from tof1vdbqy so wsma8lbar; 6 v)j k4+n.7hx0b ,*he center of the sphere?

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