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习题练习:Electric Charge and Electric Field



 作者: 王信东Wood发布日期: 2025-03-31 11:02   总分: 97分  得分: _____________

答题人: 匿名未登录  开始时间: 03月31日 11:02  切换到: 单题模式

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1#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
If you charge a pocket comb by rubbing it wiyhf( 5p;kn(nqa:1is yth a silk scarf, how can you determine if the comb :q(ypsn1ka(h;ni f5y is positively or negatively charged?
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2#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Why does a shirt or blouse taken from a clothes dryer sometimes cling to yo jiqr:6.l1 ;2aurqsatur boauqqsli16 r:;.r2ja t dy?
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3#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Explain why fog or rain droplets tend to form around ions or electroz3bx ujri97a2ns in the air7ur ja3x29 ibz.
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4#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A positively charged rod is brought close to a neutral piece of paper, which it qc4/f 7-ifh6po*l9- s hvwh tp8jds2fattracts. Draw a diagram showing the separation of charge and /4-9fji*82dt pp7cqhsh -hsffwlo6vexplain why attraction occurs.
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5#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Why does a plastic ruler that *ul:uvt;y l: zhas been rubbed with a cloth have the ability to pick up small pieces of paper? Why is this difficult to do on ullz;u*vy: t: a humid day?
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6#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Contrast the net charge on a condi 5 wsp*hm4yzzm* 62la-hiz- buctor to the “free charges” in the conductor.
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7#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Figures 16–7 and 16–8 show how a ch7g+9e3(gk*q /ooaxfdwddj f *arged rod placed near an uncharged metal object can attract (or repel) electrons. There*jd 9qd e7a*d+kgo (/wfoxf g3 are a great many electrons in the metal, yet only some of them move as shown. Why not all of them?
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8#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
When an electroscope is charged, its two leaves repel each other and remain at azcnhxg(1z y /8+k5rcwt +c5knn angle. What balances the elec/5 wchn1 5t r+cz+g(nkyz8ckxtric force of repulsion so that the leaves don’t separate further?
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9#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
The form of Coulomb’s law is very similar to thashzxitu,3neq+ v /p,: t for Newton’s law of universal ezxh/ +i: u ,,nst3vpqgravitation. What are the differences between these two laws? Compare also gravitational mass and electric charge.
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10#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
We are not normally aware of thk dfng5*;, zhue gravitational or electric force between two ordinary objects. What is the reason in each case? Gduhg5k fz;n,* ive an example where we are aware of each one and why.
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11#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Is the electric force a con3. l8x o) jj7wbsxojz3servative force? Why or why not? (See Chapter 6.)
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12#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
When a charged ruler attracts tt,a +6q78xg8c3(trl do9xbd ps 5zd lsmall pieces of paper, sometimes a piece jumps quickly away after l (7b+l ca,gdd3s8 rdtx 5xp 9o6tqzt8touching the ruler. Explain.
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13#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Explain why the test charges we +si74r y s5 x k*epa3l)-atsdkuse when measuring electric fields must be small.-5*p+ rsstixe)4dkkya l 73as
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14#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
When determining an electric field, must we use a positive test czt5sxpvg/c3(d 3a jh dst( .)dharge, or would a negative one do as well? Expldh)t cgd(/s.tx53dz3p va s( jain.
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15#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Draw the electric field lines surrounding 8co85a)j+bp4ost6ye v;m. wtpqz hd4 two negative electric charges a distance lp5 cz)j8 8 m.sve;otatbhd wpy+o q644 apart.
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16#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Assume that the two opposite charges in F c hdtkx1 ,qismb420k+ig. 16–31a are 12.0 cm apart. Consider the magnitude of the electric field 2.5 cm from the positive charge. On which side of this charge — top, bottom, left, or right — is the es024th+ 1bdx i qmkck,lectric field the strongest? The weakest? Explain.
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17#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Consider the electric fibf;bcanvbz (5x; 2-8 ;1qzn ku6rgpsjeld at points A, B, and C in Fig. 16–48. First draw an arrow at each point indicating the direction of the net force that a positive test charge would experience if placed at tha2ncs;q5;8 bbakf1-6 zujz rpb(vg; nxt point, then list the points in order of decreasing field strength (strongest first).
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18#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Why can electric field lines never cr,sv, gcd0wdc. i.p7keoss?
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19#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Show, using the three r n*vb kdzpe.uf(+2y7k ules for field lines given in Section 16–8, that the electric field l7(kz dn.fyvkuep+b 2 *ines starting or ending on a single point charge must be symmetrically spaced around the charge.
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20#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Given two point charges Q and 2Q, a distanc5omj) 7puaal wkgz7,4e l apart, is there a point along the straight k a7ga,4p)o7lz5mwj u line that passes through them where E=0 when their signs are (a) opposite, (b) the same? If yes, state roughly where this point will be.
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21#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Consider a small positive test -4f-gqjs:q9 :xj6w7 zu fqr ejcharge located on an electric field line at some point, such as point P in Fig. 16–31a. Is the direction of th uj4w6:zqqgr f 7--9fjq:xjse e velocity and/or acceleration of the test charge along this line? Discuss.
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22#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Sketch the electric field lines for a un8.zz xmoa s fs /r*dx9m-qs22tiform line of charge which is infinitely long. (Hint:z9m2rofd*at-.z/ s28sxsqmx Use symmetry.) Is the electric field uniform in strength?
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23#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
If the electric flux through a clos6 ;1ampfp.urn,q 8sn c 4:v e (rwhj;)2pilosged surface is zero, is the electric field necessarily zero at all r;81.6hn e pcowfv )lj;q :uapsg4,im2srpn(points on the surface? Explain. What about the converse: If $\vec{E}\,=\,0$ at all points on the surface is the flux through the surface zero?
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24#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A point charge is surrounded by a spherical gaussian surface 0l1at ,2ejwsf of radius r. If the sphere is replaced by a cube of side rsl0 wt f,eaj21, will $\Phi_E$ be larger, smaller, or the same? Explain.
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25#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  
$\left[1\mathrm{mC}=10^{-3} C, 1 \mu \mathrm{C}=10^{-6} \mathrm{C}, 1\mathrm{nC}=10^{-9} \mathrm{C} .\right]$
Calculatethe magnitude of the force between two $3.60-\mu C$ point charges 9.3 cm apart.   N


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26#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  How many electrons make up a a b6rr2htv/m8f5u6gxcharge of $-30.0\mu C\,?$   $ \times10^{ 14}\, electrons $

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27#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What is the magnitude of the electric force of attw-qfda xgj*+*duvt/v- (2.yj 1 qxsbtraction between an iron nucleusdq/jtt1jx*qg* +x-(awdbufs .2v- vy $(q\,=\,+26e)$ and its innermost electron if the distance between them is $ 1.5\times10^{-12 }\,m\,?$    $ \times10^{-3 }N$

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28#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What is the repulsive electrical force between two pro1)7fr 9w1dktk k0lzmutons $ 5.0 \times10^{ -15}\,m$ apart from each other in an atomic nucleus?    N

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29#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What is the magnitude ojp/vd: uw j,q4z *4.gnaykfbs c;p/- vf the force a $+25\,\mu C\,C$ charge exerts on a $+\,3.0\,mC$ charge 35 cm away?    N

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30#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Two charged dust particles exert a force p+:khv 4mynu(g jpagju17rw3 j9 bd5a,-cmj7 of $ 3.2\times10^{ -2}\,N$ on each other. What will be the force if they are moved so they are only one-eighth as far apart?    N

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31#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Two charged spheres are 8.45 cm apart. They are moved, he jx(hw36tjc wg.8 5 emr,y1nand the force on each of them is found to have bej31e8.my ntr jeg ww5(hc,xh6en tripled. How far apart are they now?    cm

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32#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A person scuffing her feet on a wool rug on a dry day accumulates a l0.*t8qs2frqhjj 5jcnet charge oc*h5.j2qj8 q 0f tsjlrf $-42\,\mu C\,.$ How many excess electrons does she get,    $ \times10^{14 }\,electrons$
by how much does her mass increase?    $ \times10^{-16 }kg$

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33#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What is the total charge of all the electjhc/,c5-m a rcly2xq( rons in 1.0 kg of $H_2O\,?$    $ \times10^{ 7}\,C$

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34#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Compare the electric forcht s16ctyq-z /e holding the electron in orbit $(r\,=\,0.53 \times10^{-10 }\,m)$ around the proton nucleus of the hydrogen atom, with the gravitational force between the same electron and proton. What is the ratio of these two forces?    $ \times10^{39 }\,C$

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35#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Two positive point charges are a fixed distance apart. The su+tf0i-j) ct)k l ec.sgm of their charges is Wha0 glcc+.t) -tifk jse)t charge must each have in order to
(a) maximize the electric force between them,
(b) minimize it?
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36#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Particles of charge t7ng7yi j0 60sb;h; clu. hieu$+75$,$+48$ and $-85\,\mu C\,$ are placed in a line (Fig. 16–49). The center one is 0.35 m from each of the others. Calculate the net force on each charge due to the other two.

$F_{+75}$=   $NN$
$F_{+48}$=   $NN$
$F_{-85}$=   $NN$

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37#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Three positive particles of equ;j) rdh56b u 1soj )vp8v1tvfgal charge, $+11.0\,\mu C\,$ are located at the corners of an equilateral triangle of side 15.0 cm (Fig. 16–50). Calculate the magnitude and direction of the net force on each particle.


the force on the lower left charge is of magnitude    N, and
will point    $^{\circ}$below the-x axis. The force on the lower right charge is of magnitude    N, and will point    $^{\circ}$below the +x axis.

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38#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A charge of 6.00 mC is placed at each corner of a square 0.100 m on a sidz1dn ork1.er s,7l. cdbp(4 eh.9b pvde. Determine the magnitude an do.kdnlvh,(7dpbb .r91c.es41 pzred direction of the force on each charge.
$F_4$ =   $ \times10^{ 7}\,N$
$\theta$ =    $^{\circ}$

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39#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Repeat Problem 14 for the case when two of the positive charges, on oppos /5* 8k0boicene ngan;ite corners, are replaced by negative charges of the sam*anikn5c08n;ee bo /ge magnitude (Fig. 16–51).
$F_4$ =   $ \times10^{ 7}\,N$
$\theta$ =    $^{\circ}$


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40#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  At each corner of a zv2k:t6uz g7,wdado8square of side l there are point charges of magnitude Q, 2Q, 3Q, and 4Q (Fig. 16–52). Determine the force on (a): a z8udzg,kw27tdo6v the charge 2Q, and (b) the charge 3Q, due to the other three charges.
$F_{2Q}$ =    $\frac{kQ^2}{l^2}$
$\theta_{2Q}$ =    $^{\circ}$
$F_{3Q}$ =    $\frac{kQ^2}{l^2}$
$\theta_{3Q}$ =    $^{\circ}$



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41#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Three charged particles are placed at the cop5d zp +3w.ksd;a snyj+gle68rners of an equilateral triangle of side 1.20 m (Fig. 16–53). The chargesp; sw3se+p+6d yj.8azlg5d kn are $+4.0\,\mu C\,,$$-8.0\,\mu C\,,$ and $-6.0\,\mu C\,.$ Calculate the magnitude and direction of the net force on each due to the other two.
$F_1$ =    N
$\theta_1$ =    $^{\circ}$
$F_2$ =    N
$\theta_2$ =    $^{\circ}$
$F_3$ =    N
$\theta_3$ =    $^{\circ}$


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42#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Two point charges have aavoo1 9k 4r5i7kdpp5 a total charge of $560\,\mu C\,.$ When placed 1.10 m apart, the force each exerts on the other is 22.8 N and is repulsive. What is the charge on each?
q = $ 5.54\times10^{a }\,C$ a =  ,
$ 5.54\times10^{b }\,C $ b =   
Q-q = $ 5.54\times10^{a }\,C$ a =  ,
$ 5.54\times10^{b }\,C$ b =   

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43#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Two charges, $-Q_0$ and $-3Q_0$ are a distance l apart. These two charges are free to move but do not because there is a third charge nearby. What must be the charge and placement of the third charge for the first two to be in equilibrium?
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44#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A $+4.75\,\mu C\,$ and a $-3.55\,\mu C\,$ charge are placed 18.5 cm apart. Where can a third charge be placed so that it experiences no net force?    cm

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45#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Two small nonconducting spheres have a zohg04 z l2:ontotal charge of $90.0\,\mu C\,.$
(a) When placed 1.06 m apart, the force each exerts on the other is 12.0 N and is repulsive. What is the charge on each?    $ \times10^{ -6}\,C$$\;\;\;\;$    $ \times10^{ -6}\,C$
(b) What if the force were attractive?    $ \times10^{ -6}\,C$$\;\;\;\;$    $ \times10^{ -6}\,C$

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46#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A charge Q is transferred from an initially uncharged plastic balk/360 ) vfa9ac.sb5 eiwaxhbrbu : 1orl to an identical ball 12 cm away. The force of attraction is then 17 mN. How many electrons were transfer96rabu:sia1cb5oe k wxb r )avf0 /h.3red from one ball to the other?    $ \times10^{ 12}$ electrons

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47#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What are the magnitude and direction of the electric force on an electaau-pa kf 3f4pr.j(2r ron in a uniaajr 4 p.-ruka (ff32pform electric field of strength $2360\,N/C$ that points due east?
   $ \times10^{ -16}\,N$
 

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48#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A proton is released in a uniform electric field, and i(0g- 2 4vlug yq*o4r jxk5dndbt experiences an electric forxg u- ( n4jqk2l5gd4ry o0bvd*ce of $ 3.75\times10^{ -14}\,N$ toward the south. What are the magnitude and direction of the electric field?
   $ \times10^{5 }\,N/C$
 

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49#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A downward force of 8.4 N is exer5txvk o +-/zcs9fv.vqted on a $-8.8\,\mu C\,$ charge. What are the magnitude and direction of the electric field at this point?    $ \times10^{5 }\,N/C$ 

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50#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What are the magnitude and directioz 4t*m .wamok70iytr,dm4c 0 85xjh ymn of the electric field 20.0 cm directly above an isolatea d t i0zwy4 *hmo4c5,.kmxrm8 ytm07jd $33.0 \times10^{ -6}\,C$ charge?    $ \times10^{6 }\,N/C$ 

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51#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What is the magnitude of the acceleration experienced by an electron in an elew: ppd+s5 +fqxctric field of qwsd5+f+ pp:x $750\,N/C\,?$ How does the direction of the acceleration depend on the direction of the field at that point?    $ \times10^{ 14}\,m/s^2$  

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52#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What are the magnitude and direction of the electrimwkk 114twa2xc field at a point midway betwe wtw2 1a4kx1kmen a $-8.0\,\mu C\,$ and a $+7.0\,\mu C\,$ charge 8.0 cm apart? Assume no other charges are nearby.    $ \times10^{7 }\,N/C$ 

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53#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Draw, approximately, the electric field lines abou;ns.8 ky -agj prz qnze.h4(rz:o c(h(t two point charges, $+Q$ and $-3Q$ which are a distance l apart.
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54#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What is the electric field strength a z5**ymdp5 2g spwv+. l5utncht a point in space where a proton $(m= 1.67\times10^{ -27}\,kg) $experiences an acceleration of 1 million “g’s”? $\approx$    N/C(Round it to one decimal place.)

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55#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  An electron is released from rest in a uniform electric field anth yi iukx 6lw3y66ko9hb6t *sa;/ /nfd accelerates to the north 6k 6t6tfl s*;hixu oh9kya y6/bw3n /iat a rate of $115\,m/s^2\,.$ What are the magnitude and direction of the electric field?    $ \times10^{-10 }\,N/C$ 

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56#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The electric field midway between two equal but opposite point cha v2; b8m7mvschupz v1/rges is $745\,N/C\,,$ and the distance between the charges is 16.0 cm. What is the magnitude of the charge on each?    $ \times10^{-10 }\,C$

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57#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Calculate the electric field at the center of a squar0wf6zliw1 s5 je 52.5 cm on a side if one corner is occupied b ljsf1iz 560wwy a $+45.0\,\mu C\,$ charge and the other three are occupied by $-27\,\mu C\,$ charges.    $ \times10^{6 }\,N/C$ at    $^{\circ}\,$

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58#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Calculate the electric field at one corner of a square 1.00 m on a side ifxn;*q8yzqe v1vj9vucn7c8(z the other threzu*j7c8vnyz1n9;v ( v8 eq cqxe corners are occupied by $ 2.25\times10^{-6 }\,C$ charges.    $ \times10^{4 }\,N/C$   $^{\circ}\,$ from the x-direction.

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59#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Determine the direction and magnitude of the electric fielz*rv+ (+xnic ad at the point P in Fig. 16–54. The n*icx z+r+ v(acharges are separated by a distance 2a, and point P is a distance x from the midpoint between the two charges. Express your answer in terms of Q, x, a, and k.

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60#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Two point charges, $Q_1\,\equiv\,25\,\mu C\,$ and $Q_2\,=\,+50\mu C\,,$ are separated by a distance of 12 cm. The electric field at the point P (see Fig. 16–55) is zero. How far from $Q_1$ is P?    cm


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61#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
(a) Determine the electrivx1sr ,zu z7acqmu m(gf 01v4,c field $\vec{E}$ at the origin 0 in Fig. 16–56 due to the two charges at A and B. (b) Repeat, but let the charge at B be reversed in sign.

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62#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Use Coulomb’s law to determine the magnitude and ds x4 s8:ned ,tji7yud+irection of the electric field at points A and B in Fig. 16–57 due to th u4s d+,8ent7x :sydije two positive charges $(Q\,=\,7.0\mu C\,)$ shown. Are your results consistent with Fig. 16–31b?
$E_A$ =    $ \times10^{6 }\,N/C$
$\theta_A$ =    $^{\circ}\,$
$E_B$ =    $ \times10^{7 }\,N/C$
$\theta_B$ =    $^{\circ}\,$
(16-51)
(16-31b)

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63#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  You are given two unknown point chargycxq k fz /)yk(t15y:oes, $Q_1$ and $Q_2$ At a point on the line joining them, one-third of the way from $Q_1$ to $Q_2$, the electric field is zero (Fig. 16–58). What is the ratio $Q_1/Q_2\,?$   


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64#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Determine the direction and mab 8s *rdfv2dn7 +jsai.hux,j) gnitude of the electric field at the point P shown in Fig. 16–59. The two charges are separated by a distance of 2a. Point P is on the perpendicular bi )8+*suv dfn,xdr 2ji7ha.jsbsector of the line joining the charges, a distance x from the midpoint between them. Express your answers in terms of Q, x, a, and k.
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65#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  An electron (mass $m\,=\,9.11 \times10^{ -31}\,kg$) is accelerated in the uniform field $\overrightarrow{\mathbf{E}}\left(E=1.45 \times 10^{4} \mathrm{~N} / \mathrm{C}\right)$ between two parallel charged plates. The separation of the plates is 1.10 cm. The electron is accelerated from rest near the negative plate and passes through a tiny hole in the positive plate, Fig. 16–60.
(a) With what speed does it leave the hole?    $ \times10^{ 6}\,m/s$
(b) Show that the gravitational force can be ignored.



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66#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  An electron moving to the ri5 ejjkriq7,9t ght at 1.0% the speed of light enters a uniform electric field parallel to its direction of motion. If the electron is to be brought jk59ijter,q7to rest in the space of 4.0 cm,
(a) what direction is required for the electric field,  
(b) what is the strength of the field?    N/C

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67#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The total electric flux :5:lp2m/kcp8nk.bx9 qt u0 t y1j jgfhfrom a cubical box 28.0 cm on a side is $1.45 \times10^{3 }\,N\cdot m^2/C$. What charge is enclosed by the box?    $ \times10^{ -8}\,C$

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68#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A flat circle of radius 18 cm is placed in a uniform electric field of.+ly nw(sw2q qxzd8r 3 magnitude q yqs2 rz38.+w(wln xd$ 5.8\times10^{2 }\,N/C$ What is the electric flux through the circle when its face is
(a) perpendicular to the field lines,    $N\cdot m^2/C$
(b) at 45° to the field lines,    $N\cdot m^2/C$
(c) parallel to the field lines?   

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69#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  In Fig. 16–61, two objeb.3v 7i bbjo pabujna)75 y4h8cts, $O_1$ and $O_2$ have charges $+1.0\mu C$ and $-2.0\mu C$ respectively, and a third object, $O_3$ is electrically neutral.
(a) What is the electric flux through the surface $A_1$ that encloses all three objects?    $ \times10^{5}\,$$N\cdot m^2/C$
(b) What is the electric flux through the surface $A_2$ that encloses the third object only?   



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70#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A cube of side l is placed in a unif7wedcb wu7jd7,edqhk olxy06b508 j) orm field $ E\,=\,6.50\times10^{3 }\,N/C$ with edges parallel to the field lines.
(a) What is the net flux through the cube?
(b) What is the flux through each of its six faces?
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71#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The electric field between two square metal pp; tsdg +qp3 )/s.gypxlates is The plates are 1.0 m on a side and are separated by 3.0 3 +pqyxpd/ gsst); gp.cm. What is the charge on each plate (assume equal and opposite)? Neglect edge effects.    $ \times10^{-9 }\,C$

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72#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The field just outside a 3.50-cm-ra,0slvyf :xpli(cy p5zy8bh: 7 dius metal ball is $ 2.75\times10^{2}\,N/C$ and points toward the ball. What charge resides on the ball?    $ \times10^{-11 }\,C$

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73#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A solid metal sphere of radius 3.00 m carries sk y c8( n5rwmeoqo;6/a total charge of $-3.5\mu C$ What is the magnitude of the electric field at a distance from the sphere’s center of
(a) 0.15 m,   
(b) 2.90 m,   
(c) 3.10 m,    N/C
(d) 6.00 m?    N/C
(e) How would the answers differ if the sphere were a thin shell?

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74#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A point charge Q rests at the center of an uncharged thin spherical conducting seh2 -ahi8os g0y:txmxlma3 *d6 4,btf hell. (See Fig. 16–33.) What is the electric field E as a function of r (a) for r less than the inner radius of the shell, (b) inside the shell, and (c) beyond thl*4g:0sad3 2ttxhamh- fex68ob,m iy e shell? (d) Does the shell affect the field due to Q alone? Does the charge Q affect the shell?

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75#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  The two strands of the helix-shap8wwkxw0,v5dcaf4l. ced DNA molecule are held together by electrostatic forces as shown in Fig. 16–44. Assume that the x,4kw f v wcc.0d58walnet average charge (due to electron sharing) indicated on H and N atoms is 0.2e and on the indicated C and O atoms is 0.4e. Assume also that atoms on each molecule are separated by $ 1.0\times10^{ -10}\,m$. Estimate the net force between
(a) a thymine and an adenine;    $ \times10^{-10 }\,N$
(b) a cytosine and a guanine. For each bond (red dots) consider only the three atoms in a line (two atoms on one molecule, one atom on the other).    $ \times10^{-10 }\,N$
(c) Estimate the total force for a DNA molecule containing $10^5$ pairs of such molecules.    $ \times10^{-5 }\,N$


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76#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  How close must two electrons be if the electric force between them is equal .q +tla+mvob -to t lm .q++aobt-vhe weight of either at the Earth’s surface?    m

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77#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A 3.0-g copper penny has a positig.c 81ucudg f+ve charge of $38\mu C$. What fraction of its electrons has it lost?    $ \times10^{-10 }\,$

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78#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A proton $(m\,=\,1.67 \times10^{-27}\,kg)$ is suspended at rest in a uniform electric field $\vec{E}$. Take into account gravity at the Earth’s surface, and determine $\vec{E}$.    $ \times10^{-7 }\,N/C$  

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79#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Measurements indicate that there is an elezkpbhs/q a0:;*:34 bpcfx pjg j3m;mpctric field surrounding the Earth. Its 3m0bhp:*sazqp ;g: pk/3jb j4 pxmc f;magnitude is about $150\,N/C$ at the Earth’s surface and points inward toward the Earth’s center. What is the magnitude of the electric charge on the Earth? Is it positive or negative? [Hint: the electric field outside a uniformly charged sphere is the same as if all the charge were concentrated at its center.]    $ \times10^{5 }\,C$  

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80#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  (a) Given the local electric fiel(rergk*qag.) . sj .zbd of what is the acceleration experienced by an electron(.g.r*gk)ezb a r .jqs near the surface of the Earth?    $ \times10^{13 }\,m/s^2$, 
(b) What about a proton?    $ \times10^{10 }\,m/s^2$, 
(c) Calculate the ratio of each acceleration to $g\,=\,9.8\,m/s^2$ For the electron: $\approx$    $ \times10^{12 }$ For the proton: $\approx$    $ \times10^{9 }$

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81#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A water droplet of radius 0.018 mm remains stationary ,k6t90lo5wppb - watm in the air. If the downward-directed ewp9 mobk,t6p-5aw l 0tlectric field of the Earth is $150\,N/C$ how many excess electron charges must the water droplet have?    $ \times10^{ 6}$ electrons

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82#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Estimate the net force between the CO xv74a: hs i-ee ak,ek)group and the HN group shown in Fig. 16–62. The C and O have iksk- eeae4x,a7)v: hcharges $\pm0.40e$, and the H and N have charges $\pm0.20e$, where $e\,=\, 1.6\times10^{-19}\,C$. [Hint: Do not include the “internal” forces between C and O, or between H and N.]    $ \times10^{ -10}\,NN$

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83#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  In a simple model of the hydrogen atom, the electron revolves .j/o7e574bunmlf m ya in a circular orbit around the proton w7lf7emj 4 ya/ nuob.m5ith a speed of $ 1.1\times10^{6 }\,m/s,$. Determine the radius of the electron’s orbit. [Hint: See Chapter 5 on circular motion.]    $ \times10^{-10 }\, m$

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84#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Suppose that electrical attractiond r./x1n *ntbd, rather than gravity, were responsible for holding the Moon in orbit around the Earth. If equal and opposite charges Q were placed on the Earth and the Moon, what should be the value of Q to maintain the present orbit? Use/btnrdn.dx *1 these data: mass of $Earth\,=\, 5.98\times10^{24}\,kg$, mass of $Moon\,=\, 7.35\times10^{22}\,kg$, radius of $orbit\,=\, 3.84\times10^{8}\,m$. Treat the Earth and Moon as point particles.    $ \times10^{13 }\,C$

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85#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  An electron with spetwb ylm)a-, 4fed $v_0\,=\, 21.5\times10^{6}\,m/s$ is traveling parallel to an electric field of magnitude $E\,=\, 11.4\times10^{3}\,N/C$.
(a) How far will the electron travel before it stops?    m
(b) How much time will elapse before it returns to its starting point?    $ \times10^{-8 }\,s$

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86#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A positive point charge*s7cfx 5 *y b17*prfr:tdxuudz9 z:jq $Q_1\,=\, 2.5\times10^{-5}\,C$. is fixed at the origin of coordinates, and a negative charge $Q_2\,=\, -5.0\times10^{-6}\,C$. is fixed to the x axis at $x\,=\,+2.0m$ Find the location of the place(s) along the x axis where the electric field due to these two charges is zero.    m from $Q_1$,   m from $Q_2$

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87#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
A small lead sphere i3.bbu(: m we3ro5fg qu5/ tvens encased in insulating plastic and suspended vertically from an ideal su :5mr.nt3 qu5(eb bvogwfe3/pring $(k\,=\,126N/m)$ above a lab table, Fig. 16–63. The total mass of the coated sphere is 0.800 kg, and its center lies 15.0 cm above the tabletop when in equilibrium. The sphere is pulled down 5.00 cm below equilibrium, an electric charge $Q\,=\, -3.00\times10^{-6}\,C$ is deposited on it and then it is released. Using what you know about harmonic oscillation, write an expression for the electric field strength as a function of time that would be measured at the point on the tabletop (P) directly below the sphere.
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88#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A large electroscope mkz 4zf*b7i4e is made with “leaves” that are 78-cm-long wires with tiny 24-g spheres at the ends. Whe*z7m ezf4b4i kn charged, nearly all the charge resides on the spheres. If the wires each make a $30^{\circ}$ angle with the vertical (Fig. 16–64), what total charge Q must have been applied to the electroscope? Ignore the mass of the wires.    $ \times10^{-6 }\,CC$

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89#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Dry air will break down and generate a spark if the electric field exce/rkg 4sc0ow c2 u1vb9meds about 1u rw9gc msc02vok/b4$ 3\times10^{6 }\,N/C$. How much charge could be packed onto a green pea (diameter 0.75 cm) before the pea spontaneously discharges? [Hint: Eqs. 16–4 work outside a sphere if r is measured from its center.]    $ \times10^{-9 }\,C$

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90#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  Two point charges, $Q_1\,=\,-6.7\mu C$ and $Q_2\,=\,1.8\mu C$ are located between two oppositely charged parallel plates, as shown in Fig. 16–65. The two charges are separated by a distance of $x\,=\,0.34\,m$ Assume that the electric field produced by the charged plates is uniform and equal to $E\,=\,73,000\,N/C$ Calculate the net electrostatic force on $Q_1$ and give its direction.    N  

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91#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A point charge $(m\,=\,1.0\,g)$ at the end of an insulating string of length 55 cm is observed to be in equilibrium in a uniform horizontal electric field of $12,000\,N/C$ when the pendulum’s position is as shown in Fig. 16–66, with the charge 12 cm above the lowest (vertical) position. If the field points to the right in Fig. 16–66, determine the magnitude and sign of the point charge.
   $ \times10^{-7 }\,C$
 


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92#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  A point charge of mass 0.210 kl dgce7uv5;e;yw )x5 tg, and net charge $+0.340\,\mu C$, hangs at rest at the end of an insulating string above a large sheet of charge. The horizontal sheet of uniform charge creates a uniform vertical electric field in the vicinity of the point charge. The tension in the string is measured to be 5.67 N. Calculate the magnitude and direction of the electric field due to the sheet of charge (Fig. 16–67).    $ \times10^{7 }\,N/C$  


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93#
 
填空题 ( 1.0 分) 切至单题模式 搜藏此题  
  What is the total charge of*by*- igtlla 1 all the electrons in a 15-kg bar of aluminum?    $ \times10^{8 }\,C$What is the net charge of the bar?    C (Aluminum has 13 electrons per atom and an atomic mass of 27 u.)

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94#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Two small, identical conducting spheres A and B are a distance q.lsru,i1xn5R apart; each carries the same charge Q. (a) What is the force sphere B exerts on sphere A? (b) An identical sphere with zero charge, sphere C, makes contact with sphere B and is then moved very far away. What is the net force now acting on sphere A? (c) Sphere C next makes contact with sphere A and is then moved far away. What is tq1isxl .5,nru he force on sphere A in this third case?
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95#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Given the two charges shown*(h 0. f.dmdqjujyl 29kto 1rk in Fig. 16–68, at what position(s) x is the electric field zero? Is the field zerofh 9j kk1ldmyd*tjr.o. uq0( 2 at any other points, not on the x axis?

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96#
 
问答题 ( 1.0 分) 切至单题模式 搜藏此题  
Two point charges, $+Q$ and $-Q$ of mass m, are placed on the ends of a massless rod of length L, which is fixed to a table by a pin through its center. If the apparatus is then subjected to a uniform electric field E parallel to the table and perpendicular to the rod, find the net torque on the system of rod plus charges.
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97#
 
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Four equal positive point charges, each , u+c82kpy4bjw kroh9q m*r zs0i 0k5uof charge $8.0\,\mu C$ are at the corners of a square of side 9.2 cm. What charge should be placed at the center of the square so that all charges are at equilibrium? Is this a stable or unstable equilibrium (Section 9–4) in the plane?
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