State the law of conservation of electric ch r59f0vnwr,fm,b x:b;j bw;l cb*h xm2arge.

  Is it possible for two negatij0n 1mn9lg-to ve charges to attract each other?

  Is it possible for a positive and a negativekf8;um14 x qa/*d nh7lhud ot2 charge to attract each other?

  A glass rod is rubbed with a piece of silk. Duriayghr(k(f7c .dvmqd fk:scf 55 5/5tcng the process the glass rod acquires a posi(5kqgs a57mt d(fkhy c5c5/.dc frfv:tive charge and the silk

  A proton carries a

  The model of the atom:f w*qrd/ggt ga,81 : (nglcge shows a

  A neutral atom alwayygiii c)ld-/wc g(-n6m bw4m1s has

  An atom has more electrons than pra)ds1).r+cyp mxlew* otons. The atom is

  Materials in which the elecdg5j n:uqwdz :vf(qjv/ 42ga 6trons are bound very tightly to the nuclei are referred to u 5gq(n d 2g6j:fjvd4az/q:wv as

  Materials in which the electrons are bound very loosely to the nuclei6;2 -g7n;nlia xunqvl and can move about freely within the material are referred to auq6gnin ; a2l-xl7 nv;s

  A negatively charged rod eizk 8, fo;d gyj-q1j,is brought near one end of an uncharged metal bar. The end of the metal bar farthest from theo,;gkjq y f1jdi-8e, z charged rod will be charged

  Sphere A carries a net poy4kndz0s/iu l r +:s9tsitive charge, and sphere B is neutral. They are placed near each o0ds:l 94 yunsti/ +krzther on an insulated table. Sphere B is briefly touched with a wire that is grounded. Which statement is correct?

  How can a negatively cha(t c66ri fnj)frged rod charge an electroscope positively?

  An originally neutral eeg,aubwrzh6vayc. ; b;)2 s p0lectroscope is briefly touched with a positively charged glassb)br .0yhuz gacpa2s,v 6e;;w rod. The electroscope

  An originally neutral electroscope is grounded briefly while a pok :o vla.(h;nzsitively charged glass rod is held near it.lo( hv .;:nzka After the glass rod is removed, the electroscope

  A positive object touches a neutral e4 nwyiyz.: s)k zxlja2h2- y(rlectroscope, and the leaves separate. Then a negative object is brought near the electrohwry- lxy n2azy4(z is):.j2 kscope, but does not touch it. What happens to the leaves?

  A large negatively charged object is placed on an in-jdh k f (u.l)wuajvdwi:*6k+sulated 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 sto.w:*klu vui) h awkdf 6j(+dj-ps. 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?

  Charge is

  What are the units of the Coulombimh *l6ee jw4,vs0w8z constant $k$, which appears in Coulomb's law?

  Two charged objects are separated by a distance d. The firstwtl)f/ xzy ..v5*tl34gx k,pfjx -qwe charge is larger in magnitude than thl4 .w3/ -wtxpxf lzfyqgx*)5, k.t ejve second charge.

  Sphere A carries a net charge and sphere B is neutral. They are placed near qo+m.)5zt;n+.52/dzpcc diitt q k vl each other on an insulated table. Which statement best describes the elecizcz+);tqcltk m.5v p/ id2.t qnd5o+ trostatic force between them?

  Two charged objects attract each other with a certaif693 rcqmuys c6uxcqda:6yo*7s :i c8n force. If the charges on both objects ar7ys *cr6oy a6 :3qfmcs ix6uudc :9q8ce doubled with no change in separation, the force between them

  Two charges are separahmp4z;cw 3 rnnh4 /f,ated by a distance d and exert mutual attractive forces of F on each other. If the charges are separated by a distance of d/3, what are the new mm/3,zrcn hfp a4;w4h nutual forces?

  Two charged objects attract each other with a force F. What happel.f)zt8v mf .tns 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 m8f..t ftzl v)equal to

  An electron and a proty2ttgh5hv7cq *0pkf 6cz(ab1/9wj jton are separated by a distance of 1.0 m. What happens to the magnitude of the force on the proton if a second electr*/qjh2z6 ctav57gct1k hjtf0wpby9( on is placed next to the first electron?

  An electron and a proton are separa dwzcaa.)q.2w ted by a distance of 1.0 m. What happens to the md)c.a2 qw.wzaagnitude of the force on the first electron if a second electron is placed next to the proton?

  An electron and a proton are separated by a distance of 1.0 m.3 r(+2lotv a5rbvsm3o What happens to the size of the force on the proton if the electron is moved 0.50 m closer to theastv5r bl vr(3+m oo32 proton?

  A point charge of +Q is placed at the center of a square. Whurw /f,o,1/ js :rnuuqen a second point charge of -Q is placed at one of the squurq,s1: ow,/u uf/jrn are'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 force acting on the positive charge at the center of the square?

  A point charge of +Q is placedd 2jax +5u 0pl)kkuw.y at the centroid of an equilateral triangle. When a second charge of +Q is placed at one of the triangle's vertices, an electrostatick ua02l) j5+uxwdy kp. force of 4.0 N acts on it. What is the magnitude of the force that acts on the center charge due to a third charge of +Q placed at one of the other vertices?

  Which of the following is not a ve 4uzem6z k3 bq*ty(8ozctor?

  At twice the distance from a point charge, the strength ca gl4tgf;.(d +o dz)eof the electric field

  Is it possible to have a zero electric field value betwkzvttev7/ c4; een a negative and positive charge along the line joining the two charges?vkevt ;c7t z/4

  Is it possible to have a zero elec .z,5mk 3; cj7y*gwyyszzsis)tric field value between two positive charges along the lines,gymzky w5zssijz 3 ;cy)*.7 joining the two charges?

  Electric field lines near 1 h wqaz/q*e1g 4ud)edpsitive point charges

  The electric field shown82 v ibix(rxo7bhyyi:9my 4* n

  Can electric field lines intersect in cu7o ;elbbtnvuc8;95jn-)uj free space?

  A solid block of metal in electrostatic e).xn 1; zb0d,ftqvk+kmlsxt0 quilibrium is placed in a uniform electric field. Give a statement concerning the elecq s, kvnx.b+m1 x;ldft)kt00 ztric field in the block's interior.

  If a solid metal sphere zm a1gl,7z2msand a hollow metal sphere of equal diameters are each given the same charge, the electric field (E) midway between the center and the surfaclg1m2z,m 7zase is

  A cubic block of aluminum rests on a wooden tabnwdbc q,2ytk+ gyh7.* le in a region where a uniform el2 *kcw.q h7tngd+y,b yectric field is directed straight upward. What can be said concerning the charge on the block's top surface?

  If a conductor is in bssg-c e6s.rp2aor7h- *r;t 1(vszul5dk 2pselectrostatic equilibrium near an electric charge

  A positive point charge is enclosed in a hollow metallic spherw)g 3 d5o,kzw2, lbjvwe that is grounded. As compared to the case without the hollow sphezjl 3),2bwod5wkg,v wre, the electric field at a point directly above the hollow sphere has

State three properties of conductors in static equilibrium.oj;; o y,7huyz(v9 di9i2m1b+ yvsfif

State Gauss's law.

  The charge carried by one elecpw) cnxdo5s-+(v 0kta tron is $e = -1.6 \times 10^{-19} \; C$. The number of electrons necessary to produce a charge of $-1.0 \; C$ is

  A piece of plastic has a net charge of +2.00 mC. How many more protons than 0(/fgzljg :e xelectrons does this piece of plastjzx0 g(l/:egf ic have?

  What is the charge on 1-wilygi8(t 3.fkvq2ny ,nn y8 kg of protons?

  An atomic nucleus has a charge of 8ua zd/ c10pem9,trh j$+40e$. An electron is $10^{-9} \; m$ from the nucleus. What is the force on the electron?

  Two point charges, separam2mr h( ube3+ 0aivlb(ted by 1.5 cm, have charge values of 2.0 and -4.0 mC, respectively. What is the magnitude of the electric force bem3i rb( e(0val hub2m+tween them?

  A 1.0-C charge is 15 m from a second charge, and the force b1ugajk f5eu /yhn )bf39x+-m6u 6hrwzetween them is 1.0 N. Whatubz6g/aw3j he)6r-uu f yf1mn9 hk+5x is the magnitude of the second charge?

  Two 1.0-C charges have a force between them of 1.0 N. How far apart arec/ 1ovxt0a z lri)t5:r they?

  The force between a s 9 xjrrb36w7t 5xpk:j$30 \; mC$ charge and a $-90 \; mC$ charge is 1.8 N. How far apart are they?

  Two point charges, initially 2.0 cm apart, tnj9jbc.v e48 experience a 1.0-N force. If they are moved to vjn c8jeb4t9 .a new separation of 8.0 cm, what is the electric force between them?

  Three identical point charges of 2.0 mC are placed on the xj9enwxq 4jg5 p.8 dhxp7;b9ms-axis. The first charge is at the origin, the second to the right at x = 50 cm, and the third is at the 100 cm m9s7jd xe mpnb5wgqp jx 9.;h48ark. What are the magnitude and direction of the electrostatic force which acts on the charge at the origin?

  Three point charges are placed on the x-axis. A charge of +2.0 mC is placedjcy ytwy10)t5ib9 u71scf u, , sta;lc at the origin, -2.0 m C to the right at x = 50 cm, and y9c) 10ys1 t ltucajf7s yu ibc5w,t,;+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?

  Three point charges are located at the folfi(qk+gy :zb)++; poiffg /eqlowing positions: Q1 = 2.00 mC at x = 1.00 m; Q2 = 3.00 mC at x = 0; Q3 = -5.q++g k q y/(if+b;:)zogfpeif 00 mC at x = -1.00 m. What is the magnitude of the force on the 3.00-mC charge?

  A point charge of +Q is placed at the center w 8:bbe9 w, p6z1qbnq;dwmqh.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 charge at the center. What is thnbp ,;q9w1 8h.wmz qdweb 6b:qe magnitude of the force that acts on the center charge if a third charge of -Q is placed at the lower-left corner?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 = -1.0 nC is at (0, 0.10 m);ama*g8 e8ycq9 Q3 = 5.0 nC is at (0, 0). What is the magnitude of the net force on the 5.qy*9mge8 8 aca0 nC charge?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 = -1.0 nC is oq8v4qp:3* egj /mce kat (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). eqvg3*k4ce:m8/pq oj What is the direction of the net force on the 5.0 nC charge?

  Three identical charges of 3.0 mC are placed at the vertices of an equilateop2 +he f, g3z.am od9s.+tgqdral triangle which measures 30 cm on a si3.a,o .phmfqd g2e+ ztd+9osgde. What is the magnitude of the electrostatic force which acts on any one of the charges?

  Consider point charges of +Q and +4Qqfm14twebf vlmh g4d+7 o * z3i:2mds5, which are separated by 3.0 m. At what point, on a line between the two charges, would it be possible to place a charge of -Q such that the electrostatic force acting on it would be zmv1h2+w tf54g7*:qs zdd of e3mml4i bero?

  A +3.0-C charge is at the ory06t:bm1lpci3t3w lnyn,4 vxk mc/r .igin and a +9.0-C charge is at x = 4.0 m. Where on the x-axis can a third charge be place6n1nxw.v tk3/pcmyi0mty b :l l,r43 cd so the net force on it is zero?

  Charge +2q is placed at the origin and charge -q i7:ircw+7- iqhpgd8je s placed at x = 2a. Where can a thgi +dq7ihjpcr -w:8e7ird positive charge +q be placed so that the force on it is zero?

  A copper penny has a mass o 4ma e d)avia6-9da)bamfoh61f 3.0 g. A total of $4.0 \times 10^{12} \; electrons$ are transferred from one neutral penny to another. If the electrostatic force of attraction between the pennies is equal to the weight of a penny, what is the separation between them?

  An electron is held up against the forceblbp/ayhm; c3 tg.m )( of gravity by the attraction of a fixed prom/g()albc t;. pbmy3hton some distance above it. How far above the electron is the proton?

  Two 0.20-g metal spheresoo; /gil 49jn zkr 34sxl50aeq;xgkf/aaz 12o are hung from a common point by nonconducting threads which are 30 cm long. Both are given identical charges, and the electrostatic repulsion forces them apart until the angle between the thre ;iazjl qra 4;2xek5/0fo9 14k/szo l 3onggxaads is $20^{\circ}$. How much charge was placed on each sphere?

  An atomic nucleus has a charge of +.xb(6vpnl c wf m3tvt1: .l-bd40e. What is the magnitude of the electric field at a distance of 1.0 m from the nul(. v1tp3 xbm f:dbn.lvtwc6- cleus?

  What are the magnitude and direction of the electric fie xi-fa7c3 tq7c )vawn: 2ccqk9ld at a distance of 1.50 m from a 50.0-nC2cn -k qa37)t:viwc f97xqc ac charge?

  A 5.0-C charge is 10 m from a sma,gg p-5-i vq m q3)n*iktqo.zxll test charge. What is the magnitude of the electric field at then *,gtk-o 5-3x. iv)p gmiqzqq location of the test charge?

  A 5.0-C charge is 10 m from a small test charge. What is the direction of the atpk1p5/th9ji-b8bqctovvd.: vj3 g 6fn*/ g electric f gobg3ndqav6thb8 /.1 vf/t-j5kpcj*p vti: 9ield?

  A 5.0-C charge is 10 m from a small test charge. What is the magn-14ordx -sxj4w bmru ;itude of the force experienced by a 1.0 nC charge placed at the loca os-rdxxu-4wrb4; mj1tion of the test charge?

  Two point charges each have a value of 3.0 C and are seuxm3n fab7:,eparated by a distance of 4.0 m. 7u 3e:bamfn x,What is the electric field at a point midway between the two charges?

  A 5.0-mC charge is placed at the 0 cm mark of a meter stick and h i,p-i bwtupd1a0 4, v;tadr1iur+u:a -4.0 mC charge is placed at the 50 cm marid14au ,;ptr+h-t1v:a uu,i0 dwbpri k. What is the electric field at the 30 cm mark?

  A 5.0-mC charge is placed at the 0 cm mhavw 6oja*t)ai/q-t. ark of a meter stick and a -4.0 mC charge is placed at the 50 cm mark. At what point on a line joining the two charges is the electrico/vawha6 i t*-tja)q. field zero?

  Two point charges of +3.0 mC and -7.0 mC are placed at x = 0 and x = 0. jma-usvqa . w;+h:j;u20 m. What is the m:+u j- ;a;h.jwavsumqagnitude of the electric field at the point midway between them?

  Three 3.0 mC charges are at the three cornerselpza ic7z;iz 1ijo: 2 ;x9,sp of a square of side 0.50 m. The last corner is occupied by a -3.0 p7zsx92j i;zco, ;l: zi1e aipmC charge. Find the electric field at the center of the square.

  Consider a square which is zk0 p0,x ta5dh1.0 m on a 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 square's at 0d0z,hk5x pcenter?

  A force of 10 N acts on a charge of 5.0 mC when it i2z*grv kupn4uwc-6 a;s placed in a uniform electric field. What is thepa w2cu *ug-v6;n4krz magnitude of this electric field?

  A particle with a charge of 4.0 mC has dc;o )evta*1da mass of $5.0 \times 10^{-3} \; kg$. What electric field directed upward will exactly balance the weight of the particle?

  A Styrofoam ball of mass 0.120 g is plac7 d)pbft)ug/mw1, nlw ed in an electric field of 6000 N/C pointing downward. What charge must be placed on thl g,)mwp/ bu)dntfw 17e ball for it to be suspended?

  A foam ball of mass 0.15ylk spib7 p3cg-:ks 700 g carries a charge of -2.00 nC. The ball is placed inside a uniform elec37gp7ip sysk:c0kbl-tric field, and is suspended against the force of gravity. What are the magnitude and direction of the electric field?

  A metal sphere of radius 10 cm carries a charge of +2.0 mC. What is th:hba qdgx0zznz(qz6 8)*r6lc e magnitude of the ezr:hxz8( bd6 an6lqgqz)c 0*z lectric field 5.0 cm from the sphere's surface?

  A metal sphere of radius 2.0 cm carries a chaq8w qq5kqe8.2ff4mfqus5l a 0rge of 3.0 mC. What is the electric field 6.0 cm from the center of the sphere? q qw5f5 4alqmfsku q.q8e208f