State the law of conservat,3 xb f7za lfd;p2lgzqk4(0ql ion of electric charge.

  Is it possible for two negative charges to attract ea(wu 0wv:lcsn8h-dzrp,da ;+sch other?

  Is it possible for a positive and a negative charge to attract each oth(xc3hlo pji06er?

  A glass rod is rubbed+ gw 1s k/s;3gyqf*adn with a piece of silk. During the process the glass rod acquires a y q+/nsag*g w1s;3dfk positive charge and the silk

  A proton carries a

  The model of the atom shows fq.cufx -l3u/ a

  A neutral atom always hdi+ iz6syxlv7x;;n:ml58lm has

  An atom has more electroce1zp0 h nacv)6x4( euns than protons. The atom is

  Materials in which the electrons are bound very tightly to,jjlsd q0l+ g- the nuclei are referred to a,0+-dljglq sj s

  Materials in which the electrons are bound very loosely to tem0ff+-u suzy3xke0 : 60 ,nq0dm ujfvhe nuclei and can move about freely within the materumd, fz+fs vyf:e-j000uq keum360 xnial are referred to as

  A negatively charged rod is brougcl( fl07lgh3ovq kd7 ;ht near one end of an uncharged metal bar. The end of the metal bar farthest from the charged rod will be hq7d;gcllfv3k07( ol charged

  Sphere A carries a nejr- u9igfdtg/+4)sw.wow7v:cq q*b r t positive charge, and sphere B is neutral. They are placed near each other on an insulated table. Sphere B is briefly touched with acibo-q.d)fv rwu: s 49g*rtgq w+7 /wj wire that is grounded. Which statement is correct?

  How can a negatively chag2aujiwxmq2a :6ig 4;6si cb. rged rod charge an electroscope positively?

  An originally neutral electroscope is briefly3s2rus h8hsgwldb :f 7o:1m/ 3cvb 4ml touched with a positively charged glass rod. The electrosc b3o d 1fbm3s csm:vlu/r g728:wslhh4ope

  An originally neutral electroscope is grounded briefly while a positively ch e03 - .glwm6o6 .vkzqpltg)mlx7s xu4q.s 5xvarged glass rod is gw ) tp7ov40lq sx e6g q xvs3kx-um6.5mzll..held near it. After the glass rod is removed, the electroscope

  A positive object touches a neutral electroscope, and the 6 hf6k kwf)eolx)a7ra3k oe,6leaves separate. Then a negative object is broughtkaa e w)l 6f3) kokeo6,hfxr76 near the electroscope, but does not touch it. What happens to the leaves?

  A large negatively charged object is placed on an insulated tabl8vzgs*pfvh+i)q** r pe. A neutral metallic ball rolls straighi*r)h vsfqg*pv8 *pz +t 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 the negative object. What is the final charge on each ball?

  Charge is

  What are the units of the Coulomb c2r8f tpf 8p i(w/wg,uronstant $k$, which appears in Coulomb's law?

  Two charged objects are sep7zmv n /2,3mnn*grcp.mu-5e vcnqd, parated by a distance d. The first charge is larger in magnitudem*zv3vdecn,p .mp2n7 r -n, c5mgq un/ than the second charge.

  Sphere A carries a net charge and sphere B is maaxcsr 3s,ig; ):q n lfg15f1neutral. They are placed near each other on an insulated table. Which statement best describes the electrostaasq 3fx;ls5)rgai ,nfc:1m 1g tic force between them?

  Two charged objects attract each other with a certain force. kzhbpmk3k,nm(j 9/b5fj/p2 z If the charges on both objects are d3m/n j k kbk/pbm z(5j,pzf9h2oubled with no change in separation, the force between them

  Two charges are separated by a dist b;g *ic 1+5hc.bebbn*bsxp)yance 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 mutu;s+b iep b.g cbxnc*ybh51b*)al forces?

  Two charged objects ao q/rur3+ 4 l,ezjr(oxnom+ z7ttract each other with a force 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 origizuo(o7zeq or/m,l3x nrr j4++ nal value? The force is now equal to

  An electron and a proton are separated by a distaickle2:u0ye 3 nce of 1.0 m. What happens to the magnitude of the force on the proton if ekci 02y:u3l ea second electron is placed next to the first electron?

  An electron and a proton are separpjnu/ioxkq, a p,w+e 7 ;2kh)uated by a distance of 1.0 m. What happens to t , a2;kuo,w)ippuxjhe /7n+q khe magnitude 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 dis-2qyii( ; sm3pwaw3j2kk h6djieyv/;s 3v7 evtance 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 pr3vkw;s (hje 2j/ iv 6 2pv ydw3mi37seka;y-iqoton?

  A point charge of +Q is placed at the center of a square. Wh hxc17. 1x7t ; efbfs:0ujdoaaen 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. Noo1hc. ejab7 fs;u fdxx70a:t1w, 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 placed at the centroid of an equilateral triangl:eq , f29pjavyx:82rhg p jj.pe. When a second charge of +Q is placed at one of the triangle's vert :f.jpphx,j j 9ae22yp:qr8vgices, an electrostatic 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 v/r-a5b)f0 ugm9 2oj07iav,hoh wlkqzector?

  At twice the distance from a point charge, the styh458 -rtc0)sl u t:2*dtnc r bz3/th fuzk+djrength of the electric field

  Is it possible to have a zer jq )hj) yy vxfs/l;bsj.08yy*o electric field value between a negative and positive charge aloy.y s*b08jyjjhvlq f/))ys;xng the line joining the two charges?

  Is it possible to have a zero electric field value betweelr,qy ;:yp,3e ;slp gsh9ddh: n two positive charges along the sgl,pdd;q:h ,l y y;r9 p3:ehsline joining the two charges?

  Electric field lines near psitive point chafg)jg)if* v 5 psw3i)z)pgooea 8p,fd1 a9s(qrges

  The electric field shown kbolg 8ttd8epcu /( a.8pn0mzexb0 5,

  Can electric field l qig 3,lnqb8(1hgej/qines intersect in free space?

  A solid block of metal in electrosta. 687tri bf xsw0f5cpfmo;u7ctic equilibrium is placed in a uniform electric field. Give a statement concerning the electric field in the block's interfsrf06xbu 7imc;.7 to8cpw 5 fior.

  If a solid metal sphere and a holdq65,0xgch whe/*g hjt0sk x -low metal sphere of equal diameters are each given the same charge, the electric field (E) midway between the center and x5xeqs/g, 0t jhkgch-d w6h0 *the surface is

  A cubic block of aluminum rests on a w0gspm3eu)jme q m a f.6kr1+-mooden table in a region where a uniform electric field is directed straight upward. What can be said concerning the charge on the umke+0 1gqj e6fmr) a3 smm-.pblock's top surface?

  If a conductor is in electrostatic equilibrium near an:qj mor(gi1t+*gv 3 lh/rkj*u electric charge

  A positive point charge is enclosed in a hollow metallic3dv fjrq12/ob sphere that is grounded. As compared to the case without the hollow sphere, the electric fielqbov f /jr31d2d at a point directly above the hollow sphere has

State three properties of conductors in static equili zgrw 8f ,btbs*;h6s0m0e zlv8brium.

State Gauss's law.

  The charge carried by lqe885 hr) 9 fzkfna9fone electron 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 of6s7d9 ou2 nxnnm wxj9xksa-)-rgq t;8 +2.00 mC. How many more protons than electrog; 99x-s 7rodxmnt2-suqnxa6n8)kjw ns does this piece of plastic have?

  What is the charge on 1 kg of projrf;qmg-vkchq,2, be b f*7sr):, ;wtrs vxe7tons?

  An atomic nucleus has a chargkvhi.a7 )b m9fotnp*3 e of $+40e$. An electron is $10^{-9} \; m$ from the nucleus. What is the force on the electron?

  Two point charges, separated by 1.5 cm, have charge values of 2.0 andmbd5zqw -ep g:-n+g h0 -4.0 mC, respectively. What is the magnitude of the electric forcgn p-0d:whq 5z-m+bg ee between them?

  A 1.0-C charge is 15 m from a second charg;vynzfx kgreh 5;99hzuc l) 7k l+(my8e, and the force between them is 1.0 N. What is the myl k5xy 79(9nluf; h)z+8 zkcghmv e;ragnitude of the second charge?

  Two 1.0-C charges have a force between them of 1.0 12fw f+2m2.ovzck ne dt 2b x /dncwc+lty:99gN. How far apart are they?

  The force between a xiotwo n- 6o9r,ad p4*$30 \; mC$ charge and a $-90 \; mC$ charge is 1.8 N. How far apart are they?

  Two point charges, iaf0cw4 e/( kupq a)jd:nitially 2.0 cm apart, experience a 1.0-N force. If they are moved to a new separation of 8.0 cm, what is the electric force e0(f pk/)w q4j :dacaubetween them?

  Three identical point char7c9 i z,4l3p fhqvc5 o5e8vay2, tkvzqges of 2.0 mC are placed on the x-axis. The first charge is at the origin, the second to the right at x = 5yce9fqoizvpt5,l3q7a 5 4kv2v 8ch,z0 cm, and the third is at the 100 cm mark. What are the magnitude and direction of the electrostatic force which acts on the charge at the origin?

  Three point charges are placed on the x-axis. A charge obr q/rmlk9n3 x0+nw/o f +2.0 mC is placed at the origin, -2.0 m C to the right at x = 50 cm, anrloq0br3/ kx 9wn+/n md +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 following positions:n*l3 s7shny4u Q1 = 2.00 mC at x = 1.00yn n43h*sul7s m; Q2 = 3.00 mC at x = 0; Q3 = -5.00 mC at x = -1.00 m. What is the magnitude of the force on the 3.00-mC charge?

  A point charge of +Qv+9zqv d7p f-t ix-wz.x ut1okdd*+a/ is placed at the center of a square, and a second point charge of -Q is placed at t1xzz/f u9k -7oi vxda+.d-t*+ t pvqwdhe upper-left corner. It is observed that an electrostatic force of 2.0 N acts on the positive charge at the center. What is the 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 voy8*ie0pc6u5z+ ug6uz v q)r.k2c ry (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the magnitude of the net force on the 5.0 nC g06y vzz6ku vcrqceo uu*2r)i p5+8.ycharge?

  Q1 = 6.0 nC is at (0.30 m, 0); Qusf1p-3i4c62g.wsrk6 gpxt r 2 = -1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the direction of the net force on the2wt-p.fu rrk4sgcxs3 16igp6 5.0 nC charge?

  Three identical charges of 3.0 mC are +, ued)yabmp2-5y hgbplaced at the vertices of an equilateral triangle which measures 30 cm on a side. What is the magnitude of the electrostatic force whiyp+ybd a-gmu bh, 5)e2ch acts on any one of the charges?

  Consider point charges .uy /tl5if. 0na:1 omnwuqqc-bz6 v7,oh,braof +Q and +4Q, which are separated by 3.0 m. At what point, on a line between the twa7ovnal,5w.u /b m-by.,6c nuh10 r:tziqqfoo charges, would it be possible to place a charge of -Q such that the electrostatic force acting on it would be zero?

  A +3.0-C charge is at the origin and a +9.0-C charge is at x = 4.0 m. c/ 8l a11n0 xvyd/z s)ui)wysr Where on the x-axis can a third charge be placed so the net force on iriz1 u ns1/8x)ad w0)vcs/ly yt is zero?

  Charge +2q is placed at the origi:be yvo rz,,;in and charge -q is placed at x = 2a. Where can a third positive charge +q be placed so thaz,eoi, ;yrb: vt the force on it is zero?

  A copper penny has a mass ofg b o4:)u3zos rvab6v edlv071 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 force of gravity by the attraction of ez1yzj 4.dw/gw6 b x(sa fixed proton some distance above it.d1w .s 6xw4j( /ezybgz How far above the electron is the proton?

  Two 0.20-g metal spheres are hung fr3,lo s s7bwx9q;q+aojom a common point by nonconducting threads whichwx 9sj,a3qob+s l 7q;o are 30 cm long. Both are given 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?

  An atomic nucleus has a charge of +40e. What i /a;*samqbaquhx68dzm* ;s6zy4pg. rifj/ b1s the magnitude of the electric field at a d;p. fzrqy/d sq;maa gmusa1b /4 8 iz6xb*h6*jistance of 1.0 m from the nucleus?

  What are the magnitude and zhxn2a 9ho.wv9*xv) g direction of the electric field at a distance of 1.50 m from a 50.0-nC ch99gx hxonhvzv*2. )aw arge?

  A 5.0-C charge is 10 m from a small test charge. What is the magnitudkj0-2y,l /ovmei2 he we of the electric field at the location of the test charge?,l wej2hm2o y- /0keiv

  A 5.0-C charge is 10 m from a small test charge. What is the directi8fbvd 48-kvvv on of the electri vdvfv8vk-4 b8c field?

  A 5.0-C charge is 10 m from a small test cha,*d w.j+kurw4 kchg2i s)w1nqrge. What is the magnitude of the force experienced by a 1.0 nC charge placed at the locatio 4wrws k.hwgu *,ik+q21j)ndcn of the test charge?

  Two point charges each have a value of 3.0 C and l)xazu9 k :r. jb62pibare separated by a distance of 4.0 m. .6i jz)pau l b9rk:xb2 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 stickwn;mme /(rxsik8p 2f -eg)n:vea;v 6v and a -4.0 mC charge is placed at the 50 cm mark. What is the exv;w68i: nreavnm -2mpkv/ ) ;(fsge electric field at the 30 cm mark?

  A 5.0-mC charge is placed at the 0 cma-ltvz ,wk 0 *jweapzp+m (2k+ntew(+ mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mark. At we pvew m(ln-z+k2+ p, k0wjt+(wtza* ahat point on a line joining the two charges is the electric field zero?

  Two point charges of +3.0 mC and -7.0 mC p id49s ,1wu t,,jjzseare placed at x = 0 and x = 0.20 m. What is the magnitude of the electric field at the point mi9, wu,, zpi1se4jtj sddway between them?

  Three 3.0 mC charges are at the three corners of a square of side 0.50gk(4o nt7sj o6 m. The last corner is occupied by a -3.0 mC charge. Find the electric field at the center of the n46(tjgok os7square.

  Consider a square which is 1.0 m on a side. Charges a 7jdsnq; j.*crf0lof1re placed at the corners of the square as follows: +4.0 mC at (0, 0); +4.0 mC at (1, 1); +3j7 f*j rln.0 ;cdfoqs1.0 mC at (1, 0); -3.0 mC at (0, 1). What is the magnitude of the electric field at the square's center?

  A force of 10 N acts on a charge y m7g- m p6sc4vv0ic,;atdx;tof 5.0 mC when it is placed in a uniform electric field. W4x im;-vg ,;mtvpsyac6d0 c7that is the magnitude of this electric field?

  A particle with a charge of 4.0 mC has rde3bne( l/p4 a 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 63p4.0 earp ikkga8r9iv2 y fu0.120 g is placed in an electric field of 6000 N/C poin.kg p 2f8kra 0e6rayipvi94u3 ting downward. What charge must be placed on the ball for it to be suspended?

  A foam ball of mass 0.150 g carries a charge ofdy51m mxu1o ;d -2.00 nC. The ball is placed inside a uniform electric field, and is suspended against 5m yx1uo dd;1mthe 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 the mag4 uvph7bq c 3 :6tdqo0iuw3x(bnitudi( 3qw t bbdp374v oqxhucu:06e of the electric field 5.0 cm from the sphere's surface?

  A metal sphere of radius 2.0 cm carries a charge ofyj-t 8 rcmv v+nb3k(,f 3.0 mC. What is the electric field 6.0 cm fromjfc8v ny ,-r3bmk(vt+ the center of the sphere?