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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 conservf(b 5qb 5s*p9tm o.irht)b+fvation 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 charb53 ddi3pmi i;23wu uwges 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 atz g7rkf .4lopkhs nni9s:i 13/z 5ww5nd 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 wiz:;d*zkjzvzgw 1pf5+m 6 2/gt3zpngj th a piece of silk. During the process the glass rod acquires a positive charge and the sil2jzm zt1n +:5pp/z*;6z k vdz3wfjgggk

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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 show tog;loo* *i+xa+23ia 1djbmfs 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 has/hj-k : kp*vji

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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 electr3p, jwing,a0 i5zfo 6wons 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 tigb+ix-5 -gx . 9km clokc2xqz8xhtly to the nuclei are referred toz+kx-.q9x c-8 xm k5ib lg2cxo as

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10#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Materials in which the electrons are bound very loo e* q q,-:b7*texpigqvsely to the nuclei and can move about freely withiq-vbx*qeei ,tq*7g :pn 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 un ak 6sd -m3q3lz*iqd.mcharged metal bar. The end of the metal bar farthest fromddisz q .a6k3 3m-l*qm 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 s*x sj0hx;u5u 4m qwzh19x-orvphere B is neutral. They are placed near each other on an insulat9x;5*4 hxu-zujwhv1 0xrqosm ed table. Sphere B is briefly touched 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 elmb*zdub5 wmmxf3/6 6e ectroscope 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 elel bd c/yewjm8(ii n+*l) s;d4wctroscope is briefly touched with a positively charged glass rod. The elc s;dn+yib/wj* )(edl8lw4miectroscope

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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 whi:; ;bmjwgm s5; ex7igxle a positively charged glass rod is held near it. After the glass rod is esmg;m;:5ixx; w7bg j 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 the4 as n-9v 3;xvponwffz:ps0f6 leaves separate. Then a negative object is brough4vxznapsfp;6s n f-09 :w o3vft near 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 object is placed on an tj gy80ovvdp 5o oxu n: :qgzma5:c)))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 first ball rolls forward, but does not touch the negative object. At no time does either ball touch n poavxy):: )g:o jov8qdtugm550)cz 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 t4ldcjq2da* 77 xgpfld(t (d;yc1a1u y he Coulomb 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 distar*3hpzfs) i 9dnce d. The first charge is larger in magnitude than t hrzs*93dip)f he 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 placed near eac/4. t.a l 0gum 255iexaz,8ldowdiklkh other on an insulated table. Which statement best describes 8.0dtell/a5i.,i 2l dg xwuamz okk5 4the 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 cer c.ks8a;svc(atain force. If the charges on both objects are doubled with no change in separatv(a ;.sc8 skacion, 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 ,fqi z 7(gu1wpk; uf25dx daf.exert mutual attractive forces of F on each other. If the charges are separated by a distance of d/3, what are the new mutuadu2,;k7p.uxf ( 1aqz fdi gw5fl 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 f.grhl z*v8:- yqt)f :-rzgrhforce F. What happens to the force between them if one charge is doubled, the other charge is tripled, and the separation distance between their centers is reduced to one-fourth its original value? The force is now eq q-z8vzr*)rh ::-gtry lffgh.ual 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 fy0gnr;8 xe1 7mxsq;2v ro i*h /4hnkgdistance of 1.0 m. What happens to the magnitude of the force on the proton if2f;7 gnx k4*1x 80nm;rshgi/ y rvohqe 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 of 1.0 mr*,+ hr/hyp cjmb6+kh 1z 7 3lss2ozah. What happens to the magnitude of the force on the first electron if a second electron is placed next t l+/, rochmahpzb7r1+j6s s zh2k*3h yo 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 ar.l ah(d*x+ a;yn vgfq,0:.yo1eozsbhe 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 pab v( 1z*..ahsq oeyd:+ onxy;hfl0 g,roton?

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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 0f vv(a.kcxj, 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. What is the magnitude of the net electrostatic f vjv,cxkf(a0 .orce 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 og adx3*4jid 37r(q qrof 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 magn7 o gq*4q3didxa( 3jrritude 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 is not a v6vi+g+rf . ffmector?

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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 electric4+od7twdux87c v w jznpcck c 7f:2+t+ 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 fqv)(qce2v/7j )lq ,tf( cog cdield value between a negative and positive tq v,j)c(lefo2d)7 q/ (qcgvc charge 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 zero elel1m :v y,xiut:ctric field value between two positive charges alo t,lvy1x:u:i mng the line joining the two charges?

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34#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Electric field lines near psitive pw 8bwlf9ws g: -b.ru4eoint 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 s3, fbwv2;pih zc0 b bjhqv-z0.hown


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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 sethotf( j(7 5gx))j)dv,gik i/ aoqz(pace?

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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 a uniform elf:i r(klp f/ a0s:9 djk/quwjv /uw59xectps:5 vk/kq 0ax:(drlu/i9f/w u9wfjjric field. Give 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 sphere of ekrxsm))fo. . pqual diameters are each given the same charge, the electric field (E) midway between the cent.skrx.) po) fmer and the surface is

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39#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A cubic block of aluminum rests on a wooden table in a region where a uniform z+5vv3oumx9y1k;7j,. urihym o wg3y9y5qg velectric field is directed straight upward. What can bu51yk9vzr3mi m3ghqyo 7v xw .+5vj,o9u ;yyge 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 equilibriuz ,vjnhi:9;tx5 - hhlxdc- zvuz/r)y2m 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 ney k6mv i68lx5jf(9p grounded. As coi6jnm 9evk 6(8pyl5f xmpared to the case without 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 ofpof3 i;u*k x( eqjybheo83(4a conductors 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 6z u m0ojc/ +hjtz-hi,aw)lr (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 h yro k8;x*b-z;ytx e:xyf.cw/as a net charge of +2.00 mC. How many more protons than electronse-oxczt w*;f:/yb;.x8k yyx r 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 r 7wup/d2ty7q;vf 4ue 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 a c( ,xfz5q1j0u+h oflmx harge 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.e9j *f(rs,2( )eokr*:gj cbnjn oa*he0 mC, respectively. W soa f)((*n*2bjh*ojrkjnre:c,9 eg ehat 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 charg(wsh r :ilyz h;y 388 wdvxp/1lj6w4dye, and the force between them is 1.0 N. What is the magnitudx:dp(l sdzvw3w yh;y64wi8jr h8y/ l1e 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 e 22,frszkp *athem 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 k;)z9oyyby5q1x*a l v $30 \; mC$ 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 jma (3btb:,i9hee7 a 4uar/c25iei ifcm apart, experience a 1.0-N force. If they are mc4i , biem j7ah:i (rbae3f/29eut 5aioved to a new separation 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 mC are placed on the x-axis. The fir :ezj:vqlh9a v08qyx:j* t5isst charge is at the origin, the second to the right at x = 50 cm, and the third is at the 100 cm mark. What ar *hxai5sjev qj0 yzt9lv8::q:e 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 placed a3ylh68nm*lu)ur b tp8t the origin, -2 ub y3urnt8l6hm*l)8p.0 m C to the right at x = 50 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 followirkm;9t kebazw z5(8(v ng positions: 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 fvk br we8(z( tm95zka;orce 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 p23jc (nnxn vcy59hk v-laced 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 positive charg9h23y5nkj vv-cn nc x(e 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 nC is at (0, 0.10 m); Q3 = 5.0 n, jgybf4db6 ,3t rqxun2ei x0*C is at (0, 0). What is the magnitude of the net force on the 5.0 nC charge,u34 tj*byq6rn02dfx xei bg,?

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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 (:( aknz18sp 10b i pbaucmgj5*0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the direction of the net force :uc1p aag0( pi bbnjm*5kzs18on the 5.0 nC charge?

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59#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Three identical charges of 3.0 mC are placed at the vertices of an eqd 07)y4u * zw5i,z)iqxtrau1kdigp: k uilateral triangle which measures 30 cm on a side. What is the magnitude of the electrostatic force which acts on any)idy1akgp 54ixu, )idkr*zq : zt7u0w 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 sqd dv. u(dz))hhc x5hfo,c*5ceparated by 3.0 m. At what point, on a line between the two charges, would it be possible to vu cchqod.z5dh f)c*), xhd5(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 +nce eoj8d o(h e0-1dkorigin and a +9.0-C charge is at x = 4.0 m. Where on the x-axi0eo 8-jde+1cdehkn( o s 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 thdr08;gvobv kan86iy: e origin and charge -q is placed at x = 2a. Where can a third posioiv0r g8ab n6;:kdy 8vtive 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 total *z yckupd qexs2508i :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 againstvt, nhl 3f 1ttqzm ):wnvxs+1/ the force of gravity by the attraction of a fixed proton some d3snx+qm:l)tz/h n 1vt vfw1 ,tistance 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 nonconduct)pc+5yzn 03w 4crdys uing threads which are 30 cm long. Both are given identical charges, and the electrostatic repulsion forces them apart un dspu4ncyc)r3 w5+y0ztil 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 3m76cjkovf .kfvpf( p;az,7gthe electric field at a distance of 1.0 m f7mgkppo ffa76.v (f3jkzcv; ,rom 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 j*m plo 5r fs5w/9d6yofield at a distance of 1.50 m from a 50.0-nC charge?pf65m 9/5*loo sdrj wy

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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 sma)3tngn i .g)uell test charge. What is the magnitude of the electric fi3.gut i)n)gen eld 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 test charge. What is the direcayx:23hmoxvq; .hb6y e:m6y0zvs j u8tion of the electric hveu8vyox6y0xz.;2 ammy qbj h:6:3sfield?

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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 eurs*guzq,l0cnheu ft/jw 687a37m 4m from a small test charge. What is the magnitude of the force experienced by a 1.0 nC charge pla7h l0zrnw8/eaqu e,6mftj4u37cu *gs ced 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 anx)+s vuq)x1d2 rfr(0kik, zw2a;ou ydd are separated by a distance of 4.0 m. What is the electric field at a point midwayrvk,+zi x;)x12wfroaqku dd0)2usy ( 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 plg)p.s g if3lt vniv()4aced 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 .3tfsg ivpngi(l)v4)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 char*tfqjar h c.u-1ch(zn rk:- zyb4. gfs 1y8+ptge is placed at t:y8 1rhcrq+kz-g1-hs byn.j c .fu(tpt*4azf he 50 cm mark. At 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 -7.0 mC are placed at x = 0 and x = 0.20 m. Whntiys kx*j.m 7 .v.s4fmw3u6 wat is the magnitude of the electric fi6 my4int* u3 wfxms.7.w s.vkjeld 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 a square of sv+lf+m5yh*yfqo.h w k18h,q w ide 0.50 m. The last corner i5hw8 mqq o+h yf+fylh v1k*.,ws occupied 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 1.0j)9)k hli19zee4k aq p m on a side. Charges are placed at the corners of the square as follows: +4.0 mC k 1h)9e9lp4 aqek)zij 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 unifor/ 1 szg-7wx:c/ lurpbmm electric field. What is the magnitud sg:m u1lbw/p x-zc/r7e 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. nnx (k7tfyal)w*g0 p:3 ohhu+:f t.uh0 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 6000 N/Chgx )-u3n9t k6a2tk jg pointing downward. What charge must be placed on the ball for it to 6t3hktagju kg2n) 9- xbe 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 +yqg6,io a)osgn ) eo40.150 g carries a charge of -2.00 nC. The ball is placed inside a uniform electric field, and is suspended against the force +)n,aoq6 yi)g4 soogeof 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 carrieg8(dn/f3 .r p e/enr x6z.vmuts a charge of +2.0 mC. What is the magnitude of the electric field 5.0 cm from thexnp/rze3rn .8g./ tf(vm6du e 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 radi9:lbh:qpc)g u us 2.0 cm carries a charge of 3.0 mC. What is the electric field 6.0 cm fro:)g:lp ub9q chm the center of the sphere?

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