State the law of conservation of ele,:p5pagn.- e,3 gda x xrl3gyhctric charge.

  Is it possible for tk w-ltwk4 kheh ,+7,y8 ay;ugzwo negative charges to attract each other?

  Is it possible for a positive and a negative charge)jlrx1mj;u axqwat:je9y d5 e d) 53.e to attract each other?

  A glass rod is rubbed with a piecek3nx68 on-x by of silk. During the process the glass rod acquires a positive charge and the 8 bx-ok3n6nxy silk

  A proton carries a

  The model of the atoyqubijy4c p- 8kp e2 :,id2sx mpado3w3b03c+m shows a

  A neutral atom alwayso 1czm z7h jg 4kxf+2cv+aj-t*,wyw4g has

  An atom has more electrons tha wtyc(+mlo 3,0. wv;g7 jdqzgwn protons. The atom is

  Materials in which the electrons are bound5a )y vm5rj.c,mq,:o xq ac(xl very tightly to the nuclei are referred to x,(ccmq ,yovm5 la a)x5j:.qras

  Materials in which the electrons are bound very loosely to the 1 fl- m)xa)jiknuclei and can move about freely within the material areijm)xf la) 1k- referred to as

  A negatively charged rod is brought near one end of an unchargedypb.*3 3olmvq,i) pxb metal bar. The end of the metal bar farthest from the charged rod will be . v3mp3)o,bbqplxy*icharged

  Sphere A carries a net positive charge, and sphg .z rlej0b5p6ere B is neutral. They are placed near each other on an insulated 0.z6l5bejp grtable. Sphere B is briefly touched with a wire that is grounded. Which statement is correct?

  How can a negatively charged rod charge an electroscopej)(6wqxlj n x*ff9 tihsgb25* positively?

  An originally neutral electroscope is brieflyjv-yigvf572 w touched with a positively charged glass rod. The el7gv5iy2jf v -wectroscope

  An originally neutral electroscope is grounded briefly while a positively c. inoez609u3sv;lvmvs5 8rh kharged g8eivs l5.zs h 3 nmvvuo;06rk9lass rod is held near it. After the glass rod is removed, the electroscope

  A positive object touches a neutral electroscope, and the leaves sescp nyo 5khp y ao587c6)j2+lbparate. Then a negative object is brought nearjy5npo)52c68a shky7o+c l bp the electroscope, but does not touch it. What happens to the leaves?

  A large negatively charged object is placed on an insulxkq 0qdw ja39.ated 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. The first ball rolls forward, but does not touch the negative object. jkaqw0d 9q x.3 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 conste,wm u5d quo p*r-f+5oant $k$, which appears in Coulomb's law?

  Two charged objects a iug0/jq*+e dqltf08are separated by a distance d. The first charge is larger in magnitude tj gilf* q0eat0/ud+q 8han the second charge.

  Sphere A carries a net charge and sphere B is neutral. Th c;opdr0*u d-*uz 9;ydl7fzi tey are placed near each other on an insulated table. Which statemcp; -;r 0d97dfz tdi z**yuoulent best describes the electrostatic force between them?

  Two charged objects attract each other with a certain force. f*y) ,puod1lfIf the charges on both objects are doubled with no change in separation, the foruyl1ff )d,*opce between them

  Two charges are separated by a distance d and exert mutual ;ac6* ) h7nnsdppktd:attractive forces of F on each other. If the charges are separated b knsn d6;d7:t pha*)pcy a distance of d/3, what are the new mutual forces?

  Two charged objects attract each other with a force F. What happens )lbit6 4mo15rwttmvz1 :hp0 vto the force between them if one charge is doubled, the other charge is tripled, and the separation distance between their centers is reduced 645)httrvl mwp1timzo v:1b0 to one-fourth its original value? The force is now equal to

  An electron and a proton are separated by a distance of 1.0 m. 54/ deylj 13m nktbog9 What happens to the magnitud9nktjgol5b y4 e 1m/3de of the force on the proton if a second electron is placed next to the first electron?

  An electron and a prott;n0 j .;viketon are separated by a distance of 1.0 m. What happens to the magnitude of the force on the first electron if a second electron is placed next to t.ev ;n;t 0ijkthe proton?

  An electron and a proton are separated byxfa+ ioa9*k,tdx72 +s xsc ,qr, (syue a distance of 1.0 m. What happens to the size of the force on the proton if the electron is moved 0.50 m+e*,(d7yu x s2 q,strc xas+ ,k9foaxi closer to the proton?

  A point charge of +Q is plzgkd*mu 9o;5 naced 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 positive charge at the square's center. Now, identical charges of -Q are placed at the other three corners of the square. gmnd*;u5o 9zkWhat is the magnitude of the net electrostatic force acting on the positive charge at the center of the square?

  A point charge of +Q i 4clvw9j w4+s1gcbx;e ikche2)+ hd /gs placed at the centroid of an equilateral triangle. When a second charge of iww c1+b+/9jg delhcc;24gehk)sv 4x+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 center charge due to a third charge of +Q placed at one of the other vertices?

  Which of the following is not a vep1one:v90ph8 if ;5 rk* zkfeqctor?

  At twice the distance from a point charge, the strength ofzzkua,;th2/ i 1zpo q5 the electric field

  Is it possible to have a zero electric field value between a nv8 vucz:)kk ow/sr 1)oegative and positive charge along the line joining the /:rc u)z8oovk sk)w1vtwo charges?

  Is it possible to have a zero electrhcex+):4 nm ljy 0jp;kic field value between two positive charges along the line joining the two chargesn+cjy ;mk ) 4hp0lexj:?

  Electric field lines near psitxl).q; *gkuz+qof5 wzive point charges

  The electric field sfgf- da* - 7j3w 0:a0k h(wjsim its-jtvf;oy2hown

  Can electric field lines intersect in free sucr mvg ps )1gt0,py:.8ihq-npace?

  A solid block of metal in electrostatic equilibrium is placed in 4 (smazbb p551znvc s+;k.vtz.gks+k a uniform electric field. Give a sta5vc+1z+nk kst s v 4b.a spzm;k(.5bgztement concerning the electric field in the block's interior.

  If a solid metal sphere and a hollow metal sphere of equal dia3xz6rxe3w : vww. ;wwkmeters are each given the same charge, thek.rxz3w6x ; 3w:www ve electric field (E) midway between the center and the surface is

  A cubic block of aluminum rests on a 1-gys b7pmscac 84q6f wooden table in a region where a uniform electric field is directed straight f- 6bsmcsa8g qc14 7pyupward. What can be said concerning the charge on the block's top surface?

  If a conductor is in electrostatic equilibrium near an electric cha8+o otdj ++kutrge

  A positive point charge is uue ,qfnd *k; ,ojl3z/enclosed in a hollow metallic sphere that is grounded. As com;fd zl,/o,*unqj3ukepared 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 equilibri ybchtb qudx.s.6*na.r) a 7g;um.

State Gauss's law.

  The charge carried by o utto sb8z;c5 ;pieui5n:.jq)ne 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 u ;+j-,jcre f,e0dh:u ia -uqfcharge of +2.00 mC. How many more protons than electrons does this piqueac ihu+,f - rdj ;ufe-:0j,ece of plastic have?

  What is the charge on 1 kg of pro yopkf ;5jz;4 ujlidagj5 0s;-tons?

  An atomic nucleus has a cte5 +volam(1qo(q ha*harge 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, ha 8*.h(c53iyhsx 3zbd ixcxuq:ve charge values of 2.0 and -4.0 mC, respectively. What is the mhcd3s:.5ix8 (cbzx3uhi*yqx agnitude of the electric force between them?

  A 1.0-C charge is 15 m from a second charge, and the force between them is 1.0 Nf dw2- jgtm(xyxuc z x09h9ll6),ygu+. What is the magnitude of the second c,cy0y gd9f)l w(uj z-mtl+g2xxhu6x9harge?

  Two 1.0-C charges have a force between them of /h 9tnnl/ewb ;bvo3u,1.0 N. How far apart are they?

  The force between a ,dofc yna::gahc: y1f 0.j4q0rha;w f$30 \; mC$ charge and a $-90 \; mC$ charge is 1.8 N. How far apart are they?

  Two point charges, initially 2.0 cm ap h 7avdq6)pc luqi:k(.art, experience a 1.0-N force. If they are moved to a new s ):pdu 6.q ilvak(cq7heparation of 8.0 cm, what is the electric force between them?

  Three identical point charges of 2.0 mC are placed on the x-axis. The first8c(u 5j aao ;.w9ywiqg 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 dirc 8ao(5ij;ag 9.wqwyu ection of the electrostatic force which acts on the charge at the origin?

  Three point charges are placed on thro diz9yy 1vta qt84-(e x-axis. A charge of +2.0 mC is placed at thoait1y8q-9rv 4( ytz de 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 origin?

  Three point charges are located at the following positions: Q1 = 2.00 mC at x =4b v(ib *tucl0 1.00 m; Q2 = 4u(bicl t*v0b 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 +Q is placed at the center of ai *aru7:dm.e 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 placed at the lo i:e*7.arua dmwer-left corner?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 = 5 g w:*y3:+b xopu :iv4f (ljps9hc, +ifhbmgy-1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at f jv(3 i+f:,gu9xc5b4owh:p+ b pily:sgy*h m(0, 0). What is the magnitude of the net force on the 5.0 nC charge?

  Q1 = 6.0 nC is at (0.30 m, 0); Qk p* rw. rvxbj8;8pnf,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 forcx8rkf *;n 8jrppb wv,.e on the 5.0 nC charge?

  Three identical charges of 3.0 mC are placed at the vertices of an equil1 ( 9nks7vvz/edeb+c hateral triangle which measures 30 cm on a side. What is the magnitude of the electrostatic force/ + 1k9hdben7(vscvez which acts on any one of the charges?

  Consider point charges of +Q and jp792 y +aufy:gks)ny d.o9gh +4Q, 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 sgak y.+ f yo:dpg9j)n2u79yhforce acting on it would be zero?

  A +3.0-C charge is at the o,rb7a hm2l 0;hz+ey ygsf4,x;r)rg uhrigin and a +9.0-C charge is at x = 4.0 m. Where on the x-axis ch2hr f)z;7srauyx,l0e4gm ; +by, rhgan a third charge 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. Where ce o t oyuvt f0qght02u-068m.z3(sllxan a third potqsz2tveu h60 3gxytl(-f m0l0uo 8o.sitive charge +q be placed so that the force on it is zero?

  A copper penny has a mass ov5mrh3e3fx n 7psy h55f 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 ardqqq d * (9*;3iedgpforce of gravity by the attraction of a fixed proton some distance above it. How far abov3g*addqrp q ( iqd9e*;e the electron is the proton?

  Two 0.20-g metal spheres are hung flj8e))seyj q*sg uv0p; u)0y,t.cy gt rom a common point by nonconducting threads wu0.p8vqcgjltseye )u *0y,g )yjt);s hich 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 is the magnitk ve2 hkd60llqc8tsf1z0 wg( 7ude of the electric field at a distance of 1.0 m from lk2ed(t0k7hzwv6g8 0 q sc1flthe nucleus?

  What are the magnitude and direction of the electric field at a disvkj13m6a- qtq 8au jq/h)wqegrz (z 9/tance of 1.50 m from a 50.0-nC urazk6)jgz/3qv89 a1qh( w q/tqj-mecharge?

  A 5.0-C charge is 10 m from a small test charge. What is the vi pmwqj*lc6k)1;lo 7magnitude of the electric field at the loca ;k)67vqp1li *olwjmction of the test charge?

  A 5.0-C charge is 10 m from a small test charge. What is the directs0:( ikv ly0puion of the electric fieldvuy:0 i0p kls(?

  A 5.0-C charge is 10 m from a small test charge. What is the(ta n(v l l hqeb8(uhjq7(hs.+ magnitude of the force experienced by a 1.0 nC charge placed at the lol ((eq l7ubanj +h(hth .8(vsqcation of the test charge?

  Two point charges each have a value of 3, +rv,o 809jqlyz1n q7k5n efyn(eczp.0 C and are separated by a distance of 4.0 m. What is the electric field at a point midway betweeel(n0z,r +9nnqz , 7kyp85y f1ojq vecn the two charges?

  A 5.0-mC charge is placed at the 0 cm mark of a meter stick and a -4.0 mC charg hdk//2mpvxvrpvu+3 +75kaxi e is placed at the 50 cm mark. What is t v/2v7p / px+imkvuh3a5+xdrk he electric field at the 30 cm mark?

  A 5.0-mC charge is placed at the 0 cm tvveom09 qc++ y d*rq7mark of a meter stick and a -4.0 mC charge imq+crvd0o eqt 9v*y7+s placed at the 50 cm mark. At what point on a line joining the two charges is the electric field zero?

  Two point charges of +3.0 mC andd( ,q* + fxxdwhh2.eon1vxv r- -7.0 mC are placed at x = 0 and x = 0.20 m. What is the magnitude of the electric ox1whxfdr n .-xq(e* d2v,vh+ field at the point midway between them?

  Three 3.0 mC charges are at the three corners of a sbh0k l1:wu 4)ws d;jwhquare of side 0.50 m. The last hwhuwdwl:jsb1 0) k;4 corner 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 )y0: h9vxlyopplaced 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). v oy9)0lhyx:pWhat 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 it is placed in a *mquok-a2, j 9 jayzz:uniform electric field. What is the magnitude of this electric fie:qj2z z*u,koa-jy ma9ld?

  A particle with a charge of 4.0 mC has a mas )aoxfa7: m:p3 fi 47bo8lxnp vszs-/fs of $5.0 \times 10^{-3} \; kg$. What electric field directed upward will exactly balance the weight of the particle?

  A Styrofoam ball of 63edytu .z /7aan -o(ongh/zhmass 0.120 g is placed in an electric field of 6000 N/C pointing downward. Whazet.3n n(hu /agyzo-a7h/ 6 dot charge 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. p4,u+pwkgt*6 me3/u*tw ezx h The ball is placed inside a uniform electric field, wh34ee,+tu*t*u w 6xp pmzk /gand 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 thu u;0z9mckib (4yv*gfe magnitudymgk4 9 vf(bci;0z uu*e of the electric field 5.0 cm from the sphere's surface?

  A metal sphere of radius 2.0 cm carries a chargejq f y nawwcdy5-npgb2 / 6a9u.49pd:j of 3.0 mC. What is the electric field 6.0 cm from the cent9ac j9 p 2d5g-j:ynpyduwwa 6qf./b4ner of the sphere?