State the law of conservation jgisdo*1nd kcf+m7:+ ley .d1 of electric charge.

  Is it possible for two negative chargeshif6+: zynr4i to attract each other?

  Is it possible for a positive and a negative chargeuf,:q7pi tcnc8, 3qvo to attract each other?

  A glass rod is rubbed with a pie(.osi rduaw6-ce of silk. During the process the glass rod acquires a positive charge andr .6uo- (awsdi the silk

  A proton carries a

  The model of the atomoio*xx222 n j ac1co: n9s*pwc shows a

  A neutral atom alwaysn(w4 aqw) bpm n2bonsx6-n 3t pbpldj 2g09q): has

  An atom has more electrons than 6f/iqr* pdo1p protons. The atom is

  Materials in which the electrons abh crk)0+kn0/o5x me wre bound very tightly to the nuclei are referred to asrb 05+mowk ) nc0e/xkh

  Materials in which the electrons are bound very loosely to the nuclei and canyc2j-zska/ zjb f 43m5drkq. 7 move about freely 7-4szdy/3kr .f q2mjc 5 zbjakwithin the material are referred to as

  A negatively charged rod is brought near one end of anh,mkjs gformrv7()(*w 5 mwozsrj /6+ uncharged metal bar. The end of the metal bar farthest from the charged rod will bem7 v/)* rgor(r z5(jomwfkjmwss h,6+ charged

  Sphere A carries a netp:g1m5aaa;a * .6l uj*jsx6pgbdd d-+ti/aae positive charge, and sphere B is neutral. They are placed near tpu a/djg1g ji- ad*5d la.;6x:b6*s aapae m+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 chargwzp: 7k3a/qxaw:dv5 jed rod charge an electroscope positively?

  An originally neutral electroscope is briefly touched with a positively *o /+zr zlgq.icharged glass rod. The electro+g/ ziq .lo*rzscope

  An originally neutral electroscih 1/.or2jln5t0qeipn* a h9 iope is grounded briefly while a positively charged glass rod is held near it. After the glass.h/jrn9tnapeiq* 021 iilho5 rod is removed, the electroscope

  A positive object touches a neutral electroscope, and the leaves .fy :;e9c- kefdg,i8; imgkra separate. Then a negative object is brought near the elei, geg:c8f-e ia;k;.ykdrf m9ctroscope, but does not touch it. What happens to the leaves?

  A large negatively charged object is placed on an insulatemf0f n5fk40 nnd table. A neutral metallic ball rolls straight toward the object, bn04 f knfnfm05ut 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 Coulnp27 pw b/iuz0omb constant $k$, which appears in Coulomb's law?

  Two charged objects are separated by a distance d. The first charge k2n;-yp0-asiwl ) an/yd0*mu rf*7xkmxxhs 5is larger in magnitude than the second chars*ynamxf /pnk- r );i2m00 7 dx*h5s-kwlxyauge.

  Sphere A carries a net charge and sphere B is neutral. They are placed near ea 8an+h,juj*nj ch other on an insul u,nh *ajjj+8nated table. Which statement best describes the electrostatic force between them?

  Two charged objects attract each other with a xx + *uk+ks7fccertain force. If the charges on both objects are doubled with no change in sepa+7fxsx+ kkcu *ration, the force between them

  Two charges are separated by a distance d and exe/mmmg3yf*o1 -q3 qtbqv*2d cprt mutual attractive forces of F on each otheropqd3/ 1*gq bm*vmmfy c3tq2-. If the charges are separated by a distance of d/3, what are the new mutual forces?

  Two charged objects attract each other j .d03d;oo y .:ewlfx+m,yq pywith 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 original value? The force is nomx ep:. y l3ody,wdq.y j;+0ofw equal to

  An electron and a proton are separated by a distance of 1.0 m. What happens tqo6xvnq9q-54al pvzz k 0wi4.o txqv6 5 zqlv an94wkioz.-4qp0he magnitude of the 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 of 1.0 m. What happens to p8xd+yx i 7lpj,yqwr4-. dfi1the magnitude of the force on the first electron if a second electron is placed next to the pi1i8 w fypd4lxr, -qd.y7x+jproton?

  An electron and a pro 0cy5/mebl 8fkton are separated by a distance of 1.0 m. What happens to the size of the force on the proton if the elmf/cy ke5b80lectron is moved 0.50 m closer to the proton?

  A point charge of +Q is placed at the center ofa0 ; s)y uxs9-tc*hetq 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. What is the magnitude of the net electrostatic force acting on tussatqc h;y 0)-e x*9the positive charge at the center of the square?

  A point charge of +Q is placed at the centroid of an equilateral triangxjj;ei7wg) )d le. 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 centejj7wg ); e)xdir charge due to a third charge of +Q placed at one of the other vertices?

  Which of the following i5+u wucxe8wkpl ( q/.ms not a vector?

  At twice the distance .wg6u ov b45dyjp0k;jfrom a point charge, the strength of the electric field

  Is it possible to have a zero elt(txxu6*h ka 2dpna.2ectric field value between a negative and positive charge along the line joining the two cu 2a 6ak.xtnx* (ptdh2harges?

  Is it possible to have 3 y77v y:mrwnya zero electric field value between two positive charges along the li:n37 y7myrw vyne joining the two charges?

  Electric field lines near psitive point charg; ,v. hyzv5dblr+ow.oa tr 69aes

  The electric field shown s: 5(tmhz-g,adyds1 f

  Can electric field lines iqg: ai7(l k;bqntersect in free space?

  A solid block of metal in els)2h 3k0xnhk 2ntaoh2ectrostatic equilibrium is placed in a uniform electric field. Give a statemha kn3h2n0tko2sxh2) ent concerning the electric field in the block's interior.

  If a solid metal sphere and a hollow metal sphere oft 5c +tx1v r/ikrb-ad9 equal diameters are each given the same charge, the electric field (E) a/vtix rc5d1 kb+t-r9 midway between the center and the surface is

  A cubic block of aluminum rests on a wooden table i a6p( fe vtr5lq*r7 xqc4mv/u5n a region where a uniform electric field is directed straight upward. What can be said concerning the charge on the block's top lq6cv p5 a/m7rvfe rx(4u qt5*surface?

  If a conductor is in electrostati+ d4cv5+llxred-;ia7 qfmg ,nc equilibrium near an electric charge

  A positive point charge is enclosed in a hollow metallic sphere thnx*95yva*g k ebk :cc3iv/ 1lsat is grounded. As compared to the case without the hollow sp/c9k5ga c3v* k: vx*ibneyl1shere, the electric field at a point directly above the hollow sphere has

State three properties of conductors in static equilibrium. (nhz:mhkokgv *z 7okam4x) 63

State Gauss's law.

  The charge carried by one electron s kmolw3lu6; -)pn rvdk0:od;5+lnbsis $e = -1.6 \times 10^{-19} \; C$. The number of electrons necessary to produce a charge of $-1.0 \; C$ is

  A piece of plastic has a net charge of c n,py.ovb1ea fc22v g -n,t9grxd 9p-oj.x-i +2.00 mC. How many more protons than elect2fj.1 .nx t-gpcg x9,dbo2vvori9-y ,-pca en rons does this piece of plastic have?

  What is the charge on 1 kg of protonsvp6rjg/kps: uz.wvj(( t*z *o?

  An atomic nucleus has a chars2/b4 f6 sofvmge of $+40e$. An electron is $10^{-9} \; m$ from the nucleus. What is the force on the electron?

  Two point charges, separ;5q3ap-l qln oated by 1.5 cm, have charge values of 2.0 and -4.0 mC, respecolan3 ;qql- 5ptively. What is the magnitude of the electric force between them?

  A 1.0-C charge is 15 m from a secondq qjhnew2 *lkjr2d4;u/ao*k* charge, and the force between them is 1.0 N. What is the magnitude of; en2*jjru4klqk2od*q h*a /w the second charge?

  Two 1.0-C charges have a force between them of 1.0 N. syhzk h7+21f(rxylq5bk3cbc2nw ;+ ed.w h t8 How far apart are they?

  The force between a a.u z6(mtl/ejg+d: cp $30 \; mC$ 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 fotl *k*j cq.vr4 i;hx)arce. If they are moved to a new separation of 8.0 cm, what is the electric forcqi)vt4 ;. a*k*jclr hxe between them?

  Three identical point charges of 2.0 mC are placed on the qnnbm ptf35 0,c-zi;gx-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 magnitud ,n;0bg3ncqtz-i m5fpe and direction of the electrostatic force which acts on the charge at the origin?

  Three point charges are placed on the x-axsod3 )g)whf t)pa;eh+s /so a3; rtcq2is. 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 orho;3p2 s+ c;f rhd tt3) gsaq/es))owaigin?

  Three point charges are located a.;u4-j , hqs. zu)h*eaezc6u(r wghxst the following positions: 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. ,e6e hzqa(uj hs-hu) gsc.4*wruz .x; What is the magnitude of the force on the 3.00-mC charge?

  A point charge of +Q is plo*qhi5.9y 4nd vd dym+aced at the center of a square, and a second point charge of -Q is placed at the upper-lef9v*i+dn5 mdqyod.h4 yt 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 = -vdebf7 kbty )a8):2 ur1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the magnitude of the net force on the 5.0 n be2t)kva8 )brdf7:uy C charge?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 = -1.0 nC is at (0, 0.10 m); Q x/ s/o.90 j* ltp1y t*ujq2wmw4cgocs3 = 5.0 nC is at (0, 0). What is the direction of the net force on the 5.0 nC charge ucyp4o1moxt l92tcws./ jsg* j*wq0/?

  Three identical charges of 3.0 mC are placed at the vertices o9d- br. ag*wfvz,a et:9ph0umf an equilateral triangle which measures 30 cm on a side:zue 90 , b.aahwvgt9 p*fmr-d. What is the magnitude of the electrostatic force which acts on any one of the charges?

  Consider point charges of +Q and +4Q, which-uj02ff xf c7lls0 kc( are separated by 3.0 m. At what point, oc2kf (ulx0c s0-7ffj ln 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 zero?

  A +3.0-C charge is at the origin )of9 6.c 0l:o n fwkitg,v/jjband a +9.0-C charge is at x = 4.0 m. Where on the x-axis can a third charge be placed so the nejtj6, f/:c0bgwo.) vo 9lkfn it force on it is zero?

  Charge +2q is placed at the origin and charge -q is placed ah.2hdog0 sc.dt x = 2a. Where can a third positive charge +q be placed so that the force on odh.h c.s2d0 git is zero?

  A copper penny has a mass of 3.0 ;gga.s*6vo*, kvle er.9x pjag. 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 a fixn9zy , di3bfhteye z) 2qike: l*s,(kd.f84jqed proton some distance above it. H kq*ne, (8kb is)zdqj fe:yy,3etfh.z 9ild24ow far above the electron is the proton?

  Two 0.20-g metal spheres fb;w3bhx z1;d k9.lr care hung from a common point by nonconducting threads which are 30 cm long. Both are g xc;.h93 1drbw;klfzb iven 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 magnitude of m1 amwv+3mekiwg y72+the electric field at a distance of 1.+7 2myv31ig amk+ mwwe0 m from the nucleus?

  What are the magnitude and direction of the eoo(lqlfs91ncvo-u/05z6y 6npq 6md klectric field at a distance of 1.50 m from a 50.0-nC6c5l vqo6m s6(f/ndy ql- no9ozp0u1k charge?

  A 5.0-C charge is 10 m from a small test charge. What is the k rkowno0)mt;.7r )ftnk7rjgg. q -l8magnitude of the electric field at the location of thkjkon rq;.8tr7m )gr w7ktlfon-)0.g e test charge?

  A 5.0-C charge is 10 m from a lcb+oxj vi8.xb :-21 o zgpj6psmall test charge. What is the direction of the elect- j.2 gv+z8:1bico l6xoppjbx ric field?

  A 5.0-C charge is 10 m from a small test charge. What is the magnitude of the fk-m05s45+ j2/y 6pocy gzaga*gwgrtu orce experienced by a 1.0 nC a4gg-r* 5yz ojug6kt2mcg/w+ps ya05charge placed at the location of the test charge?

  Two point charges each have a value of 3.0 C and are separated by a distance l+bd s* 8.jljbt:v7fqof 4.0 m. What is the electric field at a point midway between the:flbq vlt 7d*j8 .j+bs two charges?

  A 5.0-mC charge is placed at the 0 cm mark of a meter (bnz5oj6elg 7afcyqi1:/u+ r stick and a -4.0 mC charge is placed at the 50 cm maglaynbzi6jo+fc 5e / q1:ru(7 rk. What is the electric field at the 30 cm mark?

  A 5.0-mC charge is placed at the 0 cm mark of a meter stick and a ihg*x8to :5 dqi.,lkik //dd: i1cl go-4.0 mC charge is placed at the 50 cm marko/i. tqok:k dc*g :8dih/ i,l1 x5dgli. 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 placed at x = 0 ed0qnrb., a51rhwnq ,zad6 5i,o ic+land x = 0.20 m. What is the magnitude of the electric field,cqi io,.l aqzr1 nne rawd5,d05+b6h at the point midway between them?

  Three 3.0 mC charges a3,du1cm+c )eg9pp ljvh)ybm ;re at the three corners of a square of side 0.50 m. The last corner is occupied by a -3.0 mC charge. Find the electric field at the cent3p9j,cbvdey1 uhm+;) cg )pmler of the square.

  Consider a square which is 1.0 m on a side. Charges are placed at the corpo.t jxa58 0yaners of the square as follows: +4.0. ota5yx8a pj0 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 center?

  A force of 10 N acts on a charge of 5.0 mC when it is plac ;gdq lof+ ,jp zhzi+072 w,q0hxcwn3oed in a uniform electric field. What is the magnitude of this electric fieixq7 pzg wq0 +flzodj+co2,;0h 3n,whld?

  A particle with a charge of 4.0 mC has a massvcv8sz) le23v bge,e6 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 w(5itz0-qx ut 0h vdx0is placed in an electric field of 6000 N/C pointing downwh5t izt 0v(wxq0- udx0ard. What charge must be placed on the ball for it to be suspended?

  A foam ball of mass 0.150 g carries a wxnd2p) dqudd)i,w;1d3v h2z charge of -2.00 nC. The ball is placed inside a uniform electric field, and is suspended against the force of gravity. x;1d3 u2 wzn2d),h)wpdvdq idWhat are the magnitude and direction of the electric field?

  A metal sphere of rado a/j bt5,p-eeius 10 cm carries a charge of +2.0 mC. What is the magnitude of the electric field 5.0 cm from the spherejeot -b/ap 5,e's surface?

  A metal sphere of radius 2.0 cm carries a charge of 3.0a;:-m :vi6iclq ( xum0)do m3rxp(rta mC. What is the electric fiemuira - xqad )(t p0mcx:6;rli3 (vo:mld 6.0 cm from the center of the sphere?