State the law of conservation of electric chargwamtre: ud ,(m: zu6,te.

  Is it possible for t sxk7(vfj,c/3 5-uin pwl kvt3wo negative charges to attract each other?

  Is it possible for a positive and a negative charge to attracs.fxgp o f1fwur k6+2 1:vtumcv5nb )8t each other?

  A glass rod is rubbed with a piecezl k hfaj4e bsg26et,:fh0g*88o gx.r of silk. During the process the glass rod acquires a positive 20fjgsexr8g4hfeh:8*gb,l kaz6 o.t charge and the silk

  A proton carries a

  The model of the atom shoa9 ag mhb*ccs.hv 6owpz/; (c5ws a

  A neutral atom always -qiu3 r)qvyy- *m5qoehas

  An atom has more electrons than protons. The atom iw mo/qpkly97zq24bs(ua c9v 3p .8 gdps

  Materials in which the electrons are tg gf r8x,l(4fbound very tightly to the nuclei are referregg8l x 4,tr(ffd to as

  Materials in which the electrc z;t -;tuc.aysm9w(v ons are bound very loosely to the nuclei and can move about freely w. -;t zy;vu9a mtcc(swithin the material are referred to as

  A negatively charged rdk7q ;edwy2vluv /d0ei)i 5x;od is brought near one end of an uncharged metal bar. The end of the metal bar farthest from the charged rod7ddx/eq l5w2dvi0k ) ;iuey;v will be charged

  Sphere A carries a net positive charg5 u+jr*-d,v iqh:y jwhe, and sphere B is neutral. They are placed near each other on an insulated table. Sphere B is briefly touched with a wir,-rqu*vi wh j y:hd+j5e that is grounded. Which statement is correct?

  How can a negatively charged rod charge an electroscope(j, ,buj4 k*td jy+qtwnaq4 uj3(yj u( positively?

  An originally neutral electroscope is briefly touched with a positively*pj,4 sjonhkm 5+ smj0 charged glass rom k5sjs+njoj04 * hpm,d. The electroscope

  An originally neutral elf kvwd6,v8k4psk qv33ectroscope is grounded briefly while a positively charged glass rod is held near it. After the glass rod is removed, thk 63k4pkvd,8f wqvsv3e electroscope

  A positive object touches a neutral electrot:es,( 1bhb;r2 vh2d1wd jvawscope, and the leaves separate. Then a negative object is brought near the electroscope, but does not touerh:b(b2 21 av t vh;djd1s,wwch it. What happens to the leaves?

  A large negatively charged object is placed on an ins f*so dk9yre*nq0n83mulated 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. q3dsfernmoy90*n8*kThe 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 Coulg*vnx orp-s ath jd 5e32t7gp43g:od6omb constant $k$, which appears in Coulomb's law?

  Two charged objects arezv w9fhal*8(sq /ek6 x separated by a distance d. The first charge is larger in magnitude than the se(zk9a 8hw6ev * fslx/qcond charge.

  Sphere A carries a net char5ler v4; 6j35;dzv gqu.qnd9xe:lvew ge and sphere B is neutral. They are placed near each other on an insulated table. Which statement best describes :wj5ed5vnxer96vuqqvg4. le; ;3d lzthe electrostatic force between them?

  Two charged objects attract each other with a certain force. r025)h3qleupaq r(xmzi3ra+ If the charges on both objects are doubled with no change in 5prqau m)rxh302eziq+a r( 3l separation, the force between them

  Two charges are separated by a distqzxag6* m5nj *ance d and exert mutual attractive forces of F on each other. If the charges are separated by a distanceqax*5g6z jm n* of d/3, what are the new mutual forces?

  Two charged objects attract each other with a force F. What happens to the forcxr- vb jxu7l(7e between them if one charge is doubled, the other charge is tripled, and the separation distance between their cejux7( xvr7 l-bnters is reduced to one-fourth its original value? The force is now equal to

  An electron and a proton are separated by a distance on (htdn;u e2w 4s1b)ktf 1.0 m. What happens to the magnitude of t ;1bste )4k2hnwdunt( he force on the proton if a second electron is placed next to the first electron?

  An electron and a proton are separated by a distance yi3 kc(4zt cp . nkg4.e90hizon(xi13*snnt w of 1.0 m. What happens to the magnitude of thkzpc w tk.nnoti 491e(x3 n0*3c.(i i4 szhnyge 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. Whp z8lw7+:mjh cnz;lf0at happens to the size of thz8hwpnmz cl70; :j +fle force on the proton if the electron is moved 0.50 m closer to the proton?

  A point charge of +Q is plbe6z4b ifh*dhk 9-6 caaced at the center of a square. When 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 hd 4e6h 6-9bi abkf*zcpositive 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 centroid of an equilate n(4yebfiou9p1w. n t.ral triangle. When a second charge of +Q u b9te( f4.npo.in1y wis 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 center charge due to a third charge of +Q placed at one of the other vertices?

  Which of the following is not gdz 7ykbpsrd( f67;p/a vector?

  At twice the distance from q66n7;zypjf8 wy w9lsa y0e(a a point charge, the strength of the electric field

  Is it possible to have a zero electric field value between a )96qe(i z8qt fvq-sffnegative and positive charge along the line joining the twq6f q(ei8z9-t svqf )fo charges?

  Is it possible to have a zero electric field value :8 ,trepia ry 8-c4fnebetween two positive charges alocfr:a ,rni 8e-8t4yp eng the line joining the two charges?

  Electric field lines near psitive poic-)pd ax9rs2h nt charges

  The electric field shjqq.dg 3fw ,8kown

  Can electric field lines integh(:3l r fi 89gzrym5prsect in free space?

  A solid block of metal in electrostatic equilibrium is placed9p* pj-xil le: in a uniform electric field. Give a statement concerning the electr *jpelx :-l9ipic field in the block's interior.

  If a solid metal sphere and a cuq5-j9af/ hst 3ppf (hollow metal sphere of equal diameters are each given the same charge, the electric field (E) midway between the cj-59s puhaf/t(3f qp center and the surface is

  A cubic block of aluminum rests on a wooden tableqdgxj64*e5j yqvk ghs; )5 3fx in a region where a uniform electric field is directed str5d e j;qhxv*3q4x5)kg6j fgysaight upward. What can be said concerning the charge on the block's top surface?

  If a conductor is in electrostatic equwh+b)wcrg :cfz 2 1w,uilibrium near an electric charge

  A positive point charge is enclosed in a hollow metallc7l63 gd narvgfc*c5lpn81 7i5 ndoz)f38jtaic sphere that is grounded.ilrg v8 ap )onn3gaft5fc5l7d 8 *jcc6d371nz As compared to the case without the hollow sphere, the electric field at a point directly above the hollow sphere has

State three properties of conductors in static equfo9 /ub7/hmxqk q lc;+ilibrium.

State Gauss's law.

  The charge carried by one elec9eq1b kdjx1i :ajb.k pyq* 2s2tron 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. 9ck wt60 ;wc fb+3tlre How many more protons than electrons does te6c0klbw3w;+9 rc f tthis piece of plastic have?

  What is the charge on 1 kg of prot/fdzd6nbh ,z 7ons?

  An atomic nucleus has a chargee2w e;c-fj ko8 of $+40e$. An electron is $10^{-9} \; m$ from the nucleus. What is the force on the electron?

  Two point charges, separated by 1f.at6sh wbwx;q6ok3 /.5 cm, have charge values of 2.0 and -4.0 mC, respectively. What is the magnitude of the elect.s3t6khfwq/x a6 ;obwric force between them?

  A 1.0-C charge is 15 m from a secon hq* z:yntq15id charge, and the force between them is 1.0 N. What is the magt* 1h5:iyqzq nnitude of the second charge?

  Two 1.0-C charges have a force between them of 1.0 ;pbsdvn2r xoy l1mws/q9ug( men979/N. How far apart are they?

  The force between a g p4lo oy*r7moa6vh*4$30 \; mC$ charge and a $-90 \; mC$ charge is 1.8 N. How far apart are they?

  Two point charges, initially 2.0 cm apart, expeg7 7c)4p +i3tgfk-y4ssp lp cprience a 1.0-N force. If they are moved to a new separation of 8.0 cm, what is the electric fo4l4tp)ygp-i+ ck 3sfcp spg77 rce between them?

  Three identical point charges of 2.0 mC are placed onv )q o45vydp ;vwn0p*d 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 magnitude and direction of the electrostatic force which acts on the charge at the orig0oq )v*p 4 p5nvdd;yvwin?

  Three point charges are placed on the x- fswg,blxu;8 b4kkm;2 axis. 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 magnitude and direction of the electrostatic force which acts on the charge at the ori; w,ux; klsmg8b 2k4bfgin?

  Three point charges are located at the following positions: Q1 = 2.0:1ud u8ecpw 7xka/d0p 0 mC at x = 1.00 m; Q2 = 3.00 mC at x = 0; Q3p1e xa0u:c8dk7wu/ p d = -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 +Q is placed at the ceng3 oaptc*93sg ( rtnv*ter 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 the magnitude of the force that acts on the center charge if a third charge of -Q is platp3cgog9*svt( r a*3n ced 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); Q3 = 5.0 n7lo 0e( 3dosrnC is at (0, 0). What is the magnitude of the neto3rdon s0 (7le force on the 5.0 nC charge?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 = -1.0 nC is at u) )i*gi gmznl7yho 9-(0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the direction of the net force on the 5* y))7ii-9 mglozhgnu.0 nC charge?

  Three identical charges of 3.0 mC are placed at the vertices of an eqnr7uj+0p nm* juilateral triangle which measures 30 cm on a side. What is the magnitude of the electrostatic force w*7p0nrjnmj + uhich acts on any one of the charges?

  Consider point charges of +Q and +4Q, which aak dxbi.zg /b2/6)gxvre separated by 3.0 m. At what point, on a line between the two charges, would it be possible to xivg bg// .d )2zbaxk6place 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 = 4.0g sm) q1 6lsr*0aq los-er(8tj m. Where on the x-axis can a third charge be placed so the net force on it is zero?g0ra e q)8s6l(jtq1ml*s- sr o

  Charge +2q is placed at the origin and charge -q is placed at x = 2a. Wx4 cr5(kh )neyr3nc0g0nw1 iehere can a i(ky 1xcnnr50h0 cg4re3wn )e third positive charge +q be placed so that the force on it is zero?

  A copper penny has a mass of 3.0 v2cxbt4 9 bkm24.foliw0t 5u*n on)shg. 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 gral 27ot79 xj g,vn6tgegpn- 7csvity by the attraction of a fixed proton some distance above it. How far above the electron is the prgv-nj,t2o9 en6gp xtl77cg7s oton?

  Two 0.20-g metal spheres are hung jta g5xfwn2/5l+,q,3 f jconn from a common point by nonconducting threads whcg,a2+5/3w nn lnjff jqx,to5ich 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 ayf7 8kubcg 1n9 ;ho mfc+j00ng charge of +40e. What is the magnitude of the electric fiel8 ny1 ougf90gmc j7fbck;0+hn d at a distance of 1.0 m from the nucleus?

  What are the magnitude and directionbilw g 3f+w8i7 of the electric field at a distance of 1.50 m from a 50.0-nwwi b8if+gl37C charge?

  A 5.0-C charge is 10 :igpkvf,u6v :/ l js2cm from a small test charge. What is the magnitude of the electripci2 uv gj6,:sk:lf /vc field at the location of the test charge?

  A 5.0-C charge is 10 m from a small test charge. What is the direction yg7ylcw r:-3: +lrrontomz )6of the electric field-zyl6:mng7oy l:t crrw) or+3?

  A 5.0-C charge is 10 m from a small test charge. What is the magnm.jaq 0:+q6qd c3ixihitude of the force experienced by a 1.0 nC cd.i3ca x0h qqm:qji 6+harge placed at the location of the test charge?

  Two point charges each have a value of 3.0 C and are sepa epd7+ rzv0ik-rated by a distance of 4.0 m. What is the0r+z 7vk-ie pd electric field at a point midway between the two charges?

  A 5.0-mC charge is placed at the 0 cm mark of a met en (sdb1m r7jqzi*g9+er stick and a -4.0 mC charge is placed at the 50 cm mark. What is t s*j (gbd9re zi+n17qmhe electric field at the 30 cm mark?

  A 5.0-mC charge is placed lgfcp 2u rdhsd b7 )bt)(s1p l(gsa)-0at the 0 cm mark 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 elect2hpla) 0lss1pb7cg fd-su((d)gbt) r ric field zero?

  Two point charges of +3.0 mC and -7.0 mC are placed at x = 0 and x = 0.20 m4fq31r fc8f,bgvtxm8 a az ym,+ow65u2n ywg;. Wha28n,wg;ybxm3a1 wto+ mfz546fu , crq8yfvga t 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 side 0.50 m. Thmvi414f;1 gar+ 7pmnsmmxc x *e last corner is occupied by a -3.0 mC charge. Find the electric field at the center of th7mcmng+14ai *pv1 mx4xfm;sre square.

  Consider a square which is 1.0 m x sq):fd.dm5zi -q3eson 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 thq )3sqe:sx fdi 5.md-ze square's center?

  A force of 10 N acts o2d+ g )/jmu,l tjb mgt+o0f4umn a charge of 5.0 mC when it is placed in a uniform electric field. Whag m,o04mdg+/2jf tmubl+ju )t t is the magnitude of this electric field?

  A particle with a charge of 4.0 mC has a ma 6zgd 5rlwi5ay)i hx; 4+7krsjss 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 electric field jq2: as3:7 enxdag 6:ihokdv( of 6000 N/C pointing downward. What charg:(dn deh x:6aijqg7:2asv ko3e must be placed on the ball for it to be suspended?

  A foam ball of mass 0.150 g carries a charge of -2.00 nC. The balz+d)d i8ckkm0 u .s5 z9ecuw.ll is placed inside a uniform electric field, and is suspzk. s. mu9ecic5wu0+l z)dd8kended against the force of gravity. What are the magnitude and direction of the electric field?

  A metal sphere of raditelfc6m2.uw b , 1qhl,us 10 cm carries a charge of +2.0 mC. What is the magnitude of the electric field 5.0 cm from2clf m,uwth.e qb6l,1 the sphere's surface?

  A metal sphere of radius 2.0 cm carries a chac(3vixt)pi , dpe8h a-rge of 3.0 mC. What is the electric field 6.0 cm from the center of the sph8va x(i ei3ph-,)dpt cere?