State the law of conserswtlw);ggib 33v) : duvation of electric charge.

  Is it possible for two negative charges to attractf,* v;jgq 0xey ya)k4:o*e dcx each other?

  Is it possible for a positive and a negatip/e zd (dr;ska /w+1vh7eepy1q mufg1z .a f41ve charge to attract each other?

  A glass rod is rubbed with a piece of silk. During the process the glass rod *u p(xjjju5ng 1r/ 2ptp)w s)zacquires a positive charge and the ))2r/s5u(j pj w1ngpjtp u *zxsilk

  A proton carries a

  The model of the atomuji4u* : ,hq4 r)u; 3w8gtsdaws 1qzze shows a

  A neutral atom alwaywcrt g ,rj*u dlu)/4.es has

  An atom has more electrons than protons. The atd37nxm9*5xmaa zpwdki)bj,v7b+ v8 c om is

  Materials in which the electrons are bound veqp2v1fhs;:l( vn s128n zmkhyry tightly to the nuclei are referred tos(2ny 1vvl n m p8fkzh2sq1h;: as

  Materials in which th*zo5tp oo(e 2te electrons are bound very loosely to the nuclei and can move about freely within the material are referred to t(*eooo 2tz5p as

  A negatively charged rod is brought nearpx3w92jjh : u.-hhnor one end of an uncharged metal bar. The end of the rh h9p2-wh jun.: 3xjometal bar farthest from the charged rod will be charged

  Sphere A carries a net positive charge, and spher9cw- nshpj+6de B is neutral. They are placed neardw chpn-j69+s each other on an insulated table. Sphere B is briefly touched with a wire that is grounded. Which statement is correct?

  How can a negatively charged rod charge an electroscope posti)ptuxo 6vbj( 25n+/y yt; ssitively?

  An originally neutral electroscope is briefly touched with a pos+tqwb7g 7j; diz3 eq(yitively charged glass rod. Th;b 3zqw7q y(ge 7d+tije electroscope

  An originally neutral ay .:sm2(cqjr electroscope is grounded briefly while a positively charged glass 2q(aj r m.cs:yrod is held near it. After the glass rod is removed, the electroscope

  A positive object touches a neutral electroscope, and the leaves separateoc.hnq ll nthz5y9 hu1duz 2h88 4q3r3. Then a negative object is brought near the electroscope, but dol o83.9z 251qdn u8hznh3 hulqy c4htres not touch it. What happens to the leaves?

  A large negatively charged object is placed on an insulated table q pfhfg*0g52k. 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 g*2fk5g0q fp hball, 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 Cp4hc qrbd q7*i/l0e+ roulomb constant $k$, which appears in Coulomb's law?

  Two charged objects are separated by a distance d. The first charge is largtivr,u3g /ku;6uv v w:er in magnit:t/3u v vvi,rg;w u6kuude than the second charge.

  Sphere A carries a net charge and sphere B is neu yb q2r,ef i.y4fm6( b;b2fsspdtgk+;tral. They are placed near each other on an insulate2;f q. mbyf,bes 2;r64+t(by fd kispgd table. Which statement best describes the electrostatic force between them?

  Two charged objects att8bb+aj8lgswc7p2lx ea z9q+ * ract each other with a certain force. If the charges on both objects are doubled withbwa ql e9s*7 j8p2clz++ga 8xb no change in separation, the force between them

  Two charges are separated by a distance de,z9ds dk0 yigw;b:)h and exert mutual attractive forces of F : he ;,z)bywsgikd 9d0on each other. If the charges are separated by a distance of d/3, what are the new mutual forces?

  Two charged objects attract each other with a k*y ephn 9d/i+f2x;oam8 /8bg ce rox,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 center e2rd8c9yfopag// e+ xi8,* bonxkh;ms is reduced to one-fourth its original value? The force is now equal to

  An electron and a proton are sy.2kce2 vk laz0 oq4q(eparated by a distance of 1.0 m. What happens to the magnitude of the force on the proton o22ck0 v.el z4yqk( qaif a second electron is placed next to the first electron?

  An electron and a proton are sv2/mu *ywoel0u z0 y4a 9qzxg5d.i,pqeparated by a distance of 1.0 m. What happens to the magnitude of the force on the first electron if a second el/ z*9y udo.q0lvw e,z0 gmy5axpu4q2iectron is placed next to the proton?

  An electron and a proton are separated byju ) q rv581xqjwa4)iez3ory: a distance of 1.0 m. What happens to the size of the foz eyrjir)o8awx 3q )q14 ujv5:rce on the proton if the electron is moved 0.50 m closer to the proton?

  A point charge of +Q is placed at the center of a square. When a second poin5a+s-njox6ns8u. cv zs/- ozlt charge of -Q is placed at one of the-cxla5sjszvno86+n/ -.ouz s 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 force acting on the positive charge at the center of the square?

  A point charge of +Q is placed at the centroilm-y2y2 ; rscdd of 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 magnitude of the force that acts on the c -cmrsl2y2y ;denter charge due to a third charge of +Q placed at one of the other vertices?

  Which of the following is not a vecto pa .8y(mj9.e(zpllcc -gsa 0ftnud/*r?

  At twice the distance from a point charge, the strength of the electric fi0j/bast-4dr2e : i9 kp5u qcgteld

  Is it possible to have a zero electric field value between a obz 5 3n*h:cngnegative and positive charge *z nnoc:gh35b along the line joining the two charges?

  Is it possible to have iao f s(446 diat7mb5ca zero electric field value between two positive charges along the line joining the two charges?a(iistb4a7f o 6d5c4 m

  Electric field lines6 4cgx8(arfycxs q 4 3jm3x-hc near psitive point charges

  The electric field shown .n m; iknb4p8 hvgc()q

  Can electric field lines,qjfgwy (6ouw0. psi:mym ( s6 intersect in free space?

  A solid block of metal in electrostatic equilibrium is placed inog87ic 9g fs hmcj6l /(gccm14 a uniform electric field. Give a statement concern/7m c4cm gj icf1 cgoh8s6(g9ling the electric field in the block's interior.

  If a solid metal sphere and a hollogcwr*)uip66f w metal sphere of equal diameters are each given the same charge, the electric field giwuc )6pf 6r*(E) midway between the center and the surface is

  A cubic block of aluminum rests on a wooden table in a rej- 5/v*;te7 owduu sxw9tsbl3yr2 mn, gion where a uniform electric fi7 nwtx-mob3tj5ryd* /s9 wlesvu;,2 ueld is directed straight upward. What can be said concerning the charge on the block's top surface?

  If a conductor is in/n8zmf4bkt6c0 dszkhn, )ne; electrostatic equilibrium near an electric charge

  A positive point charge is enclosed in a hollow metallic sphere that is groundpjdqe2px7ud5fv3 8 *bed. As compared to the case without the hollow sphere, thed8*7 j2 pupf vxdq5eb3 electric field at a point directly above the hollow sphere has

State three properties of conductors in static equil3,;d oht;mgc33o:lxrmjg 0qdibrium.

State Gauss's law.

  The charge carried by one electro/fzcp fpfl;..ia 3uwn5l5 (rmn 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 +i b a96fpugccv 6/ p/wtw1wb;52.00 mC. How many more protons than electrons does this piece ofp; f 9/wa ucwiwgct6 1bpvb56/ plastic have?

  What is the charge on 1 kg of proto3ws 0fa ;wx(ecns?

  An atomic nucleus has a charsa)srk fj d8*yn5ier)m; f08 4wu6lpyge 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 val i5 :emq vxtj.: vt3ksdz1d2w(ues of 2.0 and -4.0 mC, respecx vv(z: 5.m31jtktdq2 iwde:s tively. What is the magnitude of the electric force between them?

  A 1.0-C charge is 15 m from ad5im 6 ese.t8b/-q;of3tiubd +mq ij) second charge, and the force between them is 1.0 N. What is the magnitude of thuq sb)embo6jd5iq+d8e-/f;t mt3 i.ie second charge?

  Two 1.0-C charges have 8 -c urue, i+.cqjevu5a force between them of 1.0 N. How far apart are they?

  The force between a )t1izp5 d n/mt$30 \; mC$ charge and a $-90 \; mC$ charge is 1.8 N. How far apart are they?

  Two point charges, initially 2.0 cm apart, experience a 1.0-N force. If theyp+w*m;y of8yq,yrzc)ffu .0 g are moved to a new separation of 8.0 cm, what is*co,ufqm y fpfg +r8y) .0;zyw the electric force between them?

  Three identical point charges of 2.0 mCp4( zc wc:ucj; are placed on the x-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 mark. What are the mac c(wp;cj 4zu:gnitude and direction of the electrostatic force which acts on the charge at the origin?

  Three point charges are placed on the x- i91sques8v .kaxis. A charge of +2.0 mC is placed at the origin, -2.0 m C to the right at x = 50 cm, and +4.0 mC at the 100 cm mark. What are the magnit skv9sq i8e1u.ude and direction of the electrostatic force which acts on the charge at the origin?

  Three point charges are located at the following posi qh*t30m- fbgkd ksu19cv7b)t0q( tfo tions: 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 mat km7f tck3dgbs00 1f)qtbu qh (9*vo-gnitude of the force on the 3.00-mC charge?

  A point charge of +Q is placed at the center 0hv jhrj,lsv bf :va-45vc 93 ea7v0dgeq g6c1of a square, and a second point charge of -Q is placed at tg0v75j-a s vb faclvr:vg41ehq 6ve3,9cj0 dh he 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 (0u(ujzx 092cnlz /je1o.30 m, 0); Q2 = -1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the magnitude of the(o1 jn2 uljceu9/zzx0 net force on the 5.0 nC charge?

  Q1 = 6.0 nC is at (0.30 m, 0)5z1 5dgxc ufw/; Q2 = -1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the direction of the net fxc z5/gf15wu dorce on the 5.0 nC charge?

  Three identical charges of .iih- 2+i+zleid civ3-x )o sm3.0 mC are placed at the vertices of an equilateral triangle which measures 30 cm on a side.lv .e mi)-siixhi2c3 iozd +-+ What is the magnitude of the electrostatic force which acts on any one of the charges?

  Consider point charges o sg9rb (5/2nxmdsku6of +Q and +4Q, which are separated by 3.0 m. At what point, on a line between thengs9md6 ru/2bk o 5(xs two 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. Where-q u+ rf2eoh-i on the x-axis can a third chai-reh+q -2oufrge be placed so the net force on it is zero?

  Charge +2q is placed at the origin and charge -q is placed at x = 2a 9n; xyogo5 -s5pdrhduy5:+ og. Where can a third positive charge +q b9x5uh+ y:5ydgg ornos5;p d-oe placed so that the force on it is zero?

  A copper penny has a mass of 3.0 g. A totpp5nf -. zek2kal 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 agains yee4sq)g a)qz9 .gs6kt the force of gravity by the attraction of a fixed proton some distanceg qs)4gqa kz es.96)ye above it. How far above the electron is the proton?

  Two 0.20-g metal spheres are hung from a common* -of)k1syu he point by nonconducting threads which are 30 cm long. Both are given identical charges, and the * 1foy-)eh uskelectrostatic 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 is the mag6hke;fcab i) ae6m:y -gk8p*vnitude of the electric field at ak8 ;eg*hi em6ycba-fvkp a6: ) distance of 1.0 m from the nucleus?

  What are the magnitude and direction of the elidw)r:5rm q3lf 24q-i)gq hjs6q o+iuectric field at a distance of 1.50 m from a 50.0-n g6-rl+qq f d4s2q)3riu5jmi):oihqw C charge?

  A 5.0-C charge is 10 m from a small tesw v .x uem3q*c1nuav0f*5 ,coot charge. What is the magnitude of the elec*evoc c1a3q x mufu*ow v,0n.5tric field at the location of the test charge?

  A 5.0-C charge is 10 m from a small testhv3s3 8rzhvb5 charge. What is the direction of the electric fieldhrbh3583vz sv?

  A 5.0-C charge is 10 m from a small test charge. What is the magnitude or2f; 0hfz.7ftk p, ezhf the force experienced by a 1.0 nC charge placed at the location of the test chfr, htp zzk7f0.eh 2;farge?

  Two point charges eacx,8u7n ktohqoi )0*ka h have a value of 3.0 C and are separated by a distance of 4.0 m. What is the electric field at a po*aiqno kuxk, ) 7th08oint midway between the two charges?

  A 5.0-mC charge is placed at the 0 cm mark of a meter stick and a -4.0 mC ;nrt15ls*, j *hg tku,fpc 9yecharge is placed at the 50 cm mark. What is the electric field c,1yrfgu*hj5,e9 kp ;sn * lttat the 30 cm mark?

  A 5.0-mC charge is placed at the 0 cm mark of a meter stick and a -4.0 o4giewicm r o,b) 2zk0x 4xx:(mC charge is placed at the 5o)oi g44 x2:ewmxkz (irb 0cx,0 cm mark. At what point on a line joining the two charges is the electric field zero?

  Two point charges of +3.0 mC and -7.0 mC are plak., r 8jtf rorwya(9qe4u2 8phced at x = 0 and x = 0.20 m. Wha, rohu9 te. jkyf(wp84a2r8 qrt is the magnitude of the electric field at the point midway between them?

  Three 3.0 mC charges are at the three corners of a square of sn(q 7kw uue*-aide 0.50 m. The last q*n(7ueau k- wcorner is occupied by a -3.0 mC charge. Find the electric field at the center of the square.

  Consider a square which is 1.0 m on a side. Charges are placed at the7yy1bb*53 o ab4teg(fu ckih6 corners of the square as follows: +4.0 mC at (0, 0); +4.0 mC at4 *1oybc yub thabi kf(5e3g76 (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?

  A force of 10 N acts on a charge of 5.0 mC when ee5(vfy;vv. aop:vk +it is placed in a uniform electric field. What is the magnitude of this electric fieldfe5; v+v ovapy(:.vke ?

  A particle with a charge of 4.0 mC has wm 7 ,fup+ 5kzqo)hgh-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 0.120 g is placed in an electrictff1 hsbx:5c; field of 6000 N/C pointing downward. What charge musxsctff:b15;h t be placed on the ball for it to be suspended?

  A foam ball of mass 0.150 g carries a charge of -gxjoo0y ,y*n12ld)cn9u hrr7bjmd4 ru*; sy 0 2.00 nC. The ball is placed inside a u n0uu nh)yj l,y4x7d y o*r;sr*m9cb r21ogjd0niform electric 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 9st2sjt hfh 3ztj )pzx71v3vs317 mibcm carries a charge of +2.0 mC. What is the magnitude of the electric field 5.0 cm from the sphere'zs79vb) 3j1 t tz1i3sfh pt7h mvxj3s2s surface?

  A metal sphere of radius 2.0 cm carries a charge of 3.0 mC. Whpxtc :7bo:x7s 59ilp nat is the electric field 7 os :tiplp5x bxcn79:6.0 cm from the center of the sphere?