State the law of conservation of electric char a2;:ce3oidzuobeshe5g 3/s .ge.

  Is it possible for two negative charges to attract each otb9da ,v;z *vqry;xw (-l)s j yelyt9x jdfv),3her?

  Is it possible for a positive and a negative charge to attrkz,mck-x2q9y-m x 1cm act each other?

  A glass rod is rubbed wetc)eq 2 6qtq.ith a piece of silk. During the process the glass rod ac.qc6te2 t qqe)quires a positive charge and the silk

  A proton carries a

  The model of the atom5jhvi)yzhotxk:e ; w (i/p k+( shows a

  A neutral atom always ha4xlb*)xp ijf/s

  An atom has more ele5x ++y., nlnfe,(r(knkrrmsk ctrons than protons. The atom is

  Materials in which the electrons are bound very tightly to the nucla0a p+e.dok :bei are referred epo:0k.b+aad to as

  Materials in which the electrons are bound very loos e ua1mh23;kfqhpw ,g/ely to the nuclei and can move about freely within the material are referred to 1hqgwu2;,e/ m3 pa fhkas

  A negatively charged rod is brought near one end of an x,pme4;z dt7bm0jswwkg *4 5k uncharged metal bar. The end of the met;p0 z *db4j k wtxw5mgs7m4ke,al bar farthest from the charged rod will be charged

  Sphere A carries a net positive charge, and sphere B is neutral. They are pll5kpm;uz++ dwh 8tk9haced near each other on an insulated table. Sphere B is briefly touched with a wire that i d9;hmul8pw+z t kh+5ks grounded. Which statement is correct?

  How can a negatively charged rod char zvck0l3 n4,x9qgv) zf7nivf/ge an electroscope positively?

  An originally neutral elw2xqj,)hyx- w mnf .l(e,bj;rectroscope is briefly touched with a positively charged glass rod.n),.bw( rj hfm ;2wqx,e ly-xj The electroscope

  An originally neutral electroscope is grounded briefly while a po 1 ;pw w.f;eowao g9gaq0q82ngsitively charged glass rod is held near it. After the glass rod is w;2 wo a;q9 gfna. gowpg801eqremoved, the electroscope

  A positive object touches a neutral electroscope, and 3 kht(:)dye-u chzv c1the leaves separate. Then a negative object is brought ne :v3kh edzcu(y1)c h-tar the electroscope, but does not touch it. What happens to the leaves?

  A large negatively charged object izink.(pndz, zd; t i )a98lmc/s placed on an insulated 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 bala)dzn./p,z9(8ndcil;ztmi kl, 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 constxdn8 74up3jpeant $k$, which appears in Coulomb's law?

  Two charged objects are separated by a distance 31a epkjy9s0yd. The first charge is larger in magnitude than sa3 0p y9jk1eythe second charge.

  Sphere A carries a net ch1i /o lbkhp;2 z5or)dfarge and sphere B is neutral. They are placed near each othe ;zf2/ d obrilk1)pho5r on an insulated table. Which statement best describes the electrostatic force between them?

  Two charged objects attract each other with a certain force. If the ,r s-isk j7irg/n(uc;p y6g 4icharges on both objects are doubled with no change in separation, the force betwee, ir6cn/ig gi 4;ss-7uprk j(yn them

  Two charges are separated by a di whrco2 f+g(lfbynuqi/8wv 7h t)s*z8, w) +pnstance d and exert mutual attractive forces of F on each other. If the charges are separated by a distahywz,/ pg fw 87stn8v)f ur+n q2c*i wlhbo)+(nce of d/3, what are the new mutual forces?

  Two charged objects attra-t mr: kz *+gik+v3liict 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 original value? The force is now equal toitg + +kii*3:rkz-vml

  An electron and a proton are separated by a distance of 1.0 m. What happens 2oj mcu5df9b +f( f5s*2s-fez q9gla dto the magnitude of the force on the proton g5+f2jc* bo 9uz d5lfes9 -d(afsq2mfif a second electron is placed next to the first electron?

  An electron and a prfve,l5 x;s5real cd334jbpl0b:ju ) noton are separated by a distance of 1.0 m. What happens to the magnitude of the force on the first electron if a second elecev b4jlnl p:j)3r0 ,5exb ;s3ua5fldctron is placed next to the proton?

  An electron and a proton are separate/2hx fbspymme w27b2 .d by a distance of 1.0 m. What happens to the size o 7 bpxmbhs22 2m.e/fywf the force 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. Wheoo9at j/wif+g2o g7.e6(onh5w / bmh in 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 2ieo(b5 awo6 to.hoh9gfgi w+/mnj7/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 ijsb2n:1rj d2the centroid of an equilateral triangle. When a second charge of +Q is placedj12 j2nbir:d s 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 vece*sgvcj1q1cm6w+l p 8tor?

  At twice the distance from a point charge, tf 7 cvjb8w*onj+(zju2he strength of the electric field

  Is it possible to have a zero electric field value be1jc.mpj0ifa3 tween a negative and positive charge along the line joining the two c .0aimfj3cjp1harges?

  Is it possible to have a zero elect)h*g1 uzf qouw.w/v3owq0h6n le v4.bric field value between two positive charges along the line joining thu u1*bo/h e qnfw .4lgw6o.vvq)h w03ze two charges?

  Electric field lines near psitive point cb.c22qkc r0io harges

  The electric field shownct6,sa+wlk nq30f: pf+q;dt ,pu9 key

  Can electric field lin jq3b56 d kyu9lut)+oanm64qou01c bc es intersect in free space?

  A solid block of metal in electrostatic equilibrium is placed in a uniform el-dn;w)aa3 dv*4rhnkj ectric field. Give a statement concerning the electric field in the block's interiod 4dh3rvakj) - a*;wnnr.

  If a solid metal sphere and a holaz 5njn gzy 3/*me)6flj9oak7low metal sphere of equal diameters are each given the same charge, the electric field (E) midway between the center and the sur/ a36j kl7yoj* )egm95 nznfzaface is

  A cubic block of aluminum rests on a wooden table in a / gkg -;wqk7pkregion where a uniform electric field is dirkkkg; gq /w-7pected straight upward. What can be said concerning the charge on the block's top surface?

  If a conductor is in ele8(sv2 ryo.sxbpz f/ /jctrostatic equilibrium near an electric charge

  A positive point charge is enclosed in a hollow metallic sphere that is grounde7ket6 /tgg;r / fsu(yod. As compared to the case without the hollow sphere, the electric field at a point directly above the hollow sph6;t7gsrogy f/e(utk /ere has

State three properties of conductors in sid5n,p7p/q:+cp isn vtatic equilibrium.

State Gauss's law.

  The charge carried by one electjyno .65; pibsron 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 nvsxzaxl*g1r 78edlc;(ye 6 p+et charge of +2.00 mC. How many more protons than electrons does this piece 8*lx+ar cv;xgsp(1 7eyd6ezl of plastic have?

  What is the charge onlt9m.gt5 d +le,waew- 1 kg of protons?

  An atomic nucleus has a char6*l. hsuk xl5yg xh,p5ge 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 and -4.0 mCnqn7,p/ha by:w+lb r:h/ nsl ;, respectively. What is the magnitude of the electric force between ybhnns;l:,// p7+aqnbr:h lw them?

  A 1.0-C charge is 15 m from a second charge, and the force between them is 1.0 eg lis2 2-gsq(N. What is t-s i g2els(gq2he magnitude of the second charge?

  Two 1.0-C charges have a force between them of 1.0 N. How farqdog 6p;yaozw bxh 3)6mn .6s) apart are they?

  The force between a l3) j)l ooqn) xo.g/3uvckf ;a$30 \; mC$ 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 they 91;c;,p 2-absg eesw(l5 8l flf xhgdyare moved to a new separation of 8.0 cm, what is the electric force between the8 ,glf29csae;( b5yx;lw- fegshpl1 dm?

  Three identical point charges of 2.0 mC are placed on the x-axis. The first ch7e)oqqzk1/*mina3 kearge 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 atq k*3)e/q7kzi a1one m the origin?

  Three point charges yxo4f ) p)ql q)n54duexj;k3f are placed on the x-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 magn))dx3f ql4ox k5 fen4)yqpuj;itude and direction of the electrostatic force which acts on the charge at the origin?

  Three point charges are located at the following positions: tc5a:sw+bcl pz 5722jal8kucb2 f:sp 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 tbzcakw7:pp : slb2l2a58sj5f ct u+2che magnitude of the force on the 3.00-mC charge?

  A point charge of +Q is placed at the center of a square,j*r5 luy sye.4: -c( 4g6zva dmbvn(cf 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:cny5e-4v4 ( ma ly.6uzj( sgdcr*fvb 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 wiibc1xijt i-w)f.t x +9q8c3 (0, 0.10 m); Q3 = 5.0 nC is at (0, 0t1bj8wtii3ixf9)c iq wx .+- c). What is the magnitude of the net force on the 5.0 nC charge?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 = -1.0 nC is at (0, 0.10 m); Q3 = 5. 5 ugjc/y+my*kvy+vv9c0tdy, 0 nC is at (0, 0). What is the, y*jt+dv 5+vuv/ykcmyy0g9c direction of the net force on the 5.0 nC charge?

  Three identical char3*a(xe.lpun sr tz;4 -lq- wckges of 3.0 mC are placed at the vertices of an equilateral triangle which measures 30 cm on a side. What is the magnitude of the electrostatic3(.nru ezs- *k-pa cx4;l wtlq force which acts on any one of the charges?

  Consider point charges of +Q and +4Q, which are separated by 3.0 m. Aa9kax ,9z1whpas.f9rdm: gwhh9w 8n 7t what point, on a line between the two charges, would it be possible to place a charge of -Q such that the electrostatic force acting on it wou9a 9gr9 hw.xahw81m9nd7sp:kwzfh a,ld be zero?

  A +3.0-C charge is at the origin and a +9.0-C charge is at x = uj bs/b,j-2 kr smltp2;s4f2 o53ghsu4.0 m. Where on the x-axis can a third s 2;3khb2/su -psu4tb j ojfm,25 lgrscharge be placed so the net force on it is zero?

  Charge +2q is placed at the origin and charge - dd4lpdi+g(-oq is placed at x = 2a. Where can a third positive charge +q be placeilg(od4-dd p +d so that the force on it is zero?

  A copper penny has a ma* ml7/ pkn+uro(tacr :ss of 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 gravityq7k6 chferv ,, by the attraction of a fixed proton some distance k6c,q, v7rh efabove it. How far above the electron is the proton?

  Two 0.20-g metal spheres are hung from a common point by nonconductin(rd,yx)0 ija( qj, wbpg threads which are 30 cm long. Both are given identical charges, and the electrostatic repulsion fo,j xpaw ij)(qd0b r,(yrces 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 ofn)ql/ +mmaij ( qf(v+g +40e. What is the magnitude of the electric field at a distance of 1.0 m from than) g+v(mi/ qql+j(mfe nucleus?

  What are the magnitude and direction of the electric field at a dist0; 4 6wn3vcjmicpw4l gance of 1.50 m from a 50.0-nCg6 m cj4wv c4n;wpi0l3 charge?

  A 5.0-C charge is 10 m from a small test charge. What is the magnitude of the s/p8ly + -loz3d+h8wad e.ra velectric field vo3dpys+ h-8e/+rlla8ad .zw at the location of the test charge?

  A 5.0-C charge is 10 m from a small test charge. What is tfc6w4t4mw-jqu mme sth) +g2 0he direction of the electric fiem2+egm4t m) ctjq6w-fuw s40hld?

  A 5.0-C charge is 10 m from a small test charge. What is the magnitude of thgr8 0 h1.lmo9l/ozel ae fo h.m0l8leogl1 zo/ ar9rce experienced by a 1.0 nC charge placed at the location of the test charge?

  Two point charges each have a value of sj6-3xgju uz )zh/ki3ck ;*aj3.0 C and are separated by a distance of 4.0 m. What is the electric field uj/ ui63zhsk*;jj3g a)zx- ckat a point midway between the two charges?

  A 5.0-mC charge is placed at the 0 :gqr 2;;br5g6 x gqsb0*qrodscm mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mark. What is the electri d2b sq;rqqs gxobg*g;05 :rr6c field at the 30 cm mark?

  A 5.0-mC charge is placed at the 0 cm mark of a meter stick and a -4.0 mC/vb f, izn)k5bl;h1av charge is placed at the 51kb;,nz/f5avvl) bh i0 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 placed xv4gr9 ru rryi9u0**m at x = 0 and x = 0.20 m. What is the magnitude of the elm0ug y*u rrvr*4x99 irectric field at the point midway between them?

  Three 3.0 mC charges are at the three corners of a square of sid--hm.pu-cda7k y6 va ce 0.50 m. The last corner is occupied by a -3.0 mC charge. Find the electric field ap 6cy.c va--kdm h7u-at the center of the square.

  Consider a square which is 1.0 m oc:d ;tf(n;,dd*d hhdqn a side. Charges are placed at the corners of the square as follows: +4.0 mC :c; th*dn;fddqd (h,dat (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.e-su 5v*0xlnz3 fr3eh 0 mC when it is placed in a uniform electric field. What is the magn-0 5*u le3exv3srhfz nitude of this electric field?

  A particle with a chah-e5jee lic u; ),ok1lrge of 4.0 mC has 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 electric fie/o k:naqa48 edld of 6000 N/C pointing downward. What q8an/ao4 edk: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. The ball is placequ+;j 9j-rwks d inside a uniform electric field, and is suspended against the rj;w +sju- qk9force of gravity. What are the magnitude and direction of the electric field?

  A metal sphere of radius 10 cm carries a+h*bj7h g g1ji charge of +2.0 mC. What is the magnitude of th1ijb h*hgg +j7e electric field 5.0 cm from the sphere's surface?

  A metal sphere of radius 2.0 cm carries a charge of 3.0 mC. What is the el2alfpvp i: 8rp(h )np:ectric field 6.0 via r)(lp h2p8f:p:pncm from the center of the sphere?