State the law of conservation of elcmhed e245qt ;4zu2qiectric charge.

  Is it possible for two negative charges to attract eag9m,/+n xhlzkz g0f 2:aar1tz ch other?

  Is it possible for a positive and a negative charge to1uqwsoz* 8hz 5 attract each other?

  A glass rod is rubbed with a piece of silk. During c:3c d3zha*9mhjx ly6the process the glass rod acquires a positive chargedyczh* xjm963l:3ac h and the silk

  A proton carries a

  The model of the atom shows :b/n2ayhy:9wqo dil 1a

  A neutral atom alwaysy,nncf-2(0u;kukk (hkq;qi x has

  An atom has more electrons than pr6ke fh/; wx je+qci,e8wyqmbn,xnelk *050z7otons. The atom is

  Materials in which the electrons are boun5mgkqoj tnv*d s hi615/hae 2;d very tightly to the nuclei are referred/hq ;dngj 5e16 tkm2sa h5v*io to as

  Materials in which the electrons are bound very lo2u kn + ;kowe/2nr6kfxosely to the nuclei and can move about freely within the material are refu/+k 2;w kfxkn2eonr 6erred to as

  A negatively charged rod isrue kx1jf:70 p s2ir5e brought near one end of an uncharged metal bar. The end of the metal bar farthest from the charged rod wile r0u:jrs f k7ei25x1pl be charged

  Sphere A carries a net positive charge, and sphere B kscpz 710e 7i)ceh bkwo h:(b-is neutral. They are placed near each other on an insulated table. Sphere B is briefly touched with a wire that is grounded. Which hboe:7 7ehb ( zc )ik10kws-cpstatement is correct?

  How can a negatively charged rod charge an electroscope positive jgd15h0y,ukqqwm ;5ily?

  An originally neutral electroscope iccao0xp ge1 os0*:ho+x)o el:yx8z /zs briefly touched with a positively charged )g+8:l 1pe:ohccaeo*yx0ooxx s z0 /zglass rod. The electroscope

  An originally neutral electroscope is grounded br3enab m)c;qs9 iefly while a positively charged glasq3;asm9)e cbn s rod is held near it. After the glass rod is removed, the electroscope

  A positive object touches a neutral electroscope, and the leaves empbi*: 7sau 3 n*pya/separate. Then a negative object is brought near the electroscope, bute/aa7*bu:nyi3 m p*sp does not touch it. What happens to the leaves?

  A large negatively charged object is placed on an insulated table. A neu ,m-)yio buabft0ah7/tral 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 sto/bi7f m,o)bt-uyaa0hps. 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 Coulofl;ov.t fj) bhv1mahr 6;m*4tmb constant $k$, which appears in Coulomb's law?

  Two charged objects are separated by a distance d. The first charge isdnbmp u+ ,/aioi7 4y2o larger in magnitude than the s 4im7a 2yoi /n+b,oupdecond charge.

  Sphere A carries a net charge p2tk;gh1g08kifjw- :ae7vlw x7q ry7 p5pqq9 and sphere B is neutral. They are placed near each other on ;x2gfy kj7hwkrieqp 1pp7vglq wa78 : 0-qt59an insulated table. Which statement best describes the electrostatic force between them?

  Two charged objects attract each other with a certa9 j6-2uyc aqa8r v i7mmyi*,chin force. If the charges on both objects are doublecmhjrvm9*- 7 i6,ai8yc 2aq uyd with no change in separation, the force between them

  Two charges are separated by z+w9 qll (c d k;oivsg59ly ;mp97o4hha distance d and exert mutual attractive forces of F on each other. If the charges are separated by a distance of d/3, wha lc9;zpq m7ysv9olg hlw45d9h; k+i(ot are the new mutual forces?

  Two charged objects attract each other with a force F. What hf7 l, atry urwy;86q*gappens to the force between them if one charge is doubled, the other charge i;* u6wf 8tayg,qyr7 rls tripled, and the separation distance between their centers is reduced to one-fourth its original value? The force is now equal to

  An electron and a proton apsght7;vn-:c re separated by a distance of 1.0 m. What happens to the magnitude of the force on the protv7c-:;pt hg nson 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.fjf. j 2rn qcy9er(0o. What happens to the magnitude of the 2eo. yf.c0jr(j n9q frforce 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. What happens to 4tzlwt0wg9 c,r-;hqm the size of the f,t-h9 c4lw 0rqwgzmt ;orce 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. When0 r1(,ii n+j/ffocsgq 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 magni,s iognf(01jciq/fr+ tude 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 equil bchhg+p)(9qfda32 efateral triangle. When a second charge of +Q is placed at one of the triangle's vertices, an elecfhqhp bf9c)ga + de(23trostatic 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 nob2k hq bzp7g0;os0ki5t a vector?

  At twice the distance from a point charge, the s3pyb w8pg l(v6trength of the electric field

  Is it possible to have a zero electric field value between a negative and positimf;qu bbpid/xvz y01h. 7i 1l-ve charge along the linu0.zyqlh x vii71bbm fd -p;/1e joining the two charges?

  Is it possible to have a zero electric field value between two positive char;s,l (bp2dd: 4xrbba wges along:,s2 x4dab(wdbblp r; the line joining the two charges?

  Electric field lines near psitiveja,*ci w07riw point charges

  The electric field sd9db -hoigsg, bk-ew /y+z(: yhown

  Can electric field lines inuko42e4lhti3w 6c 7dytersect in free space?

  A solid block of metal in electrosq l;2ubb* x3nktatic equilibrium is placed in a uniform electric field. Give a statement concerning the electric field in the block'slb2 3 ;k*buqnx interior.

  If a solid metal sphere and8qy tst.l72mu a hollow metal sphere of equal diameters are each given the same charge, the electric field (E) midway between the center andq 7 tyts2mlu8. the surface is

  A cubic block of aluminum rests on a wooden table in a regt(j t)t0ntd4 tion where a uniform electric field is directed straight upward. What can be said concerning tt)0jtdntt(4 t he charge on the block's top surface?

  If a conductor is in d29s;18 ydizjc/ w8ikyap t2 celectrostatic equilibrium near an electric charge

  A positive point cha-.rue3;gtoc x14j ybjrge is enclosed in a hollow metallic sphere that is grounded. As compared to the case without the hollow sphere, the electric field at a point directly ab.jrbco1 4;ej y3uxg-tove the hollow sphere has

State three properties o7rv4cctd9+m kqw 6a :pf conductors in static equilibrium.

State Gauss's law.

  The charge carried b5nau:4o zqkg )y one 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 charge of +2.00 mC. How many ;zob 6k4,a(mu; c gqzxioc8a3more protons than electrons does this piece ouq6ozmg c4 3iaco; b xk(;,az8f plastic have?

  What is the charge on 1 kg of,a+bu 17/s ar2uioucy protons?

  An atomic nucleus has a charg2 teil)7ac)nih+ah9ne 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 mC, ,qcr/b.kq2 la6kift , t6+zpv p .n-ferespectively. What is the magnitude of the electric force betwee . qt cp ,r.,ikaltnzfb-f26qe+pv/k6n them?

  A 1.0-C charge is 15 m from a second charge, and the ryn bxpl80rsag7xc: i.hqaux+n9 *68force between them is 1.0 N. 7+p sgu88*6ain:h9ry. xlqxc0rxabn What is the magnitude of the second charge?

  Two 1.0-C charges have a f(nh1u6 gt q2+w0kcnwzj:xv b9orce between them of 1.0 N. How far apart are they?

  The force between a s myd)be/ q(d3u *al +5)o7nnga4up*gaukq s-$30 \; mC$ 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. Iw2r(w:kiei1ro1d . -vrs9nc o :v;ht jhm5+osf they are moved to(5k2 v:drw+im .oos -9nhecrt; :s1vr1ojwhi a new separation of 8.0 cm, what is the electric force between them?

  Three identical point charge d;;w:b;q5x ssbsy9hts of 2.0 mC 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 magnitude and direction of tb;;b: t;x9h w qysdss5he electrostatic force which acts on the charge at the origin?

  Three point charges are placed o7a0lv+avn78k kvzrpjrts8 2; n 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 j 82k ;rsvv7ar7vknl+ atz8p0 magnitude and direction of the electrostatic force which acts on the charge at the origin?

  Three point charges are located at the following positions: Q1b,n .lg)3hig v = 2.00 mC at x = 1.00 m; Q2 = 3.00 mC at x = 0; Q3 = -5.00 mC at x = -1.00 m. Wn,hi3b l)gg v.hat is the magnitude of the force on the 3.00-mC charge?

  A point charge of +Q is placed at the center of a squa-7d xw)slfgyheu-xq h f5u+98re, 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 charx9qy g87ue-- ls +x)fhdh 5fwuge of -Q is placed at the lower-left corner?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 = -1.0 nC rarh3t5; a2nepw--;m wb g+lais at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the magnitude opnrha-;5e w+bl2gaat ;-rwm3 f 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 (0v:9:o,bbd5 e+uafck +rb 2mcg:dt ya s.ee:*t, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the di dcg+b.a ek9:ye m :,2dveurbctb5a:fs o:*t+ rection of the net force on the 5.0 nC charge?

  Three identical charges of 3.0 mC are placed at the vertices /nh7ld/p+ a 8 mp+wnklof an equilateral triangle which measures 30 cm on a side. What is the magnitude of the electrostatic force which acts on any onnh/+8k+pwll ma/dpn7 e of the charges?

  Consider point charges of +Q aikpq1rz4dr mh: mz*k4 r0zg0)nd +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 o:dm*ri rm hzz044gqk1 z0rk p)f -Q such that the electrostatic force acting on it would be zero?

  A +3.0-C charge is at the oriqp*w v-uh9m0m gin and a +9.0-C charge is at x = 4.0 m. Where on the x-axis can a third charge be placed sq0-9m pvw mu*ho the net force on it is zero?

  Charge +2q is placed at the origin and charge -q i+.f:du+ardvc eeh/2 fs placed at x = 2a. Where can a third positive cha vh+uf/aer.de:cdf+ 2 rge +q be placed so that the force on it is zero?

  A copper penny has a mass oxk- a5hdef ;(s/jtzh -f 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 gravity by the atav ,swrx :e0g20i(kultraction of a fixed proton some distance above it. How far above the electron is the proton,wu:(ik srae0l vx2g0?

  Two 0.20-g metal spheres are hung from a common point by nonconducting thbl 0(t( kl*ebv9knv /hreads which are 30 cm long. Both are given identical chal t(vekk /bl b(09v*hnrges, 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 th;reti do2iz4siv:q(0yw 8pi. e magnitude of the electric field at a distanceywri;0dpo( 8 2i:4i zvisq.et of 1.0 m from the nucleus?

  What are the magnitude and direction of theo ov1-:/9q:swlro, 6nmqta ve electric field at a distance of 1.50 m from a 50.0l mt61oor:nvsq/vwa,9q:-e o-nC charge?

  A 5.0-C charge is 10 m from a small test charge. What is the magniti-vk8e x1 l .hcdxq.*wo8k u(qude of the electric fielkx.1cqq(.d o88 whkxil-veu* d at the location of the test charge?

  A 5.0-C charge is 10 m from a small test charge. What is theslr0xjxg* 0) l direction of the electsl 00j)*grxxl ric field?

  A 5.0-C charge is 10 m from a small test cha(w ,3emgx;qa:ao vi+irge. What is the magnitude of the force experienced by a 1.0 nC charge placed at the location of ;ema q oii3:,gvwxa( +the test charge?

  Two point charges each have a value of 3.0 C and are separated by a distance of6,kl +:vz(pig s1 pvy)o)iqe q 4.0 m. What is the electric pqsq: z1ie6yi ),k)o(p glv v+field at a point midway between the two charges?

  A 5.0-mC charge is placed at the 0 cm mark of a meter stic vb2 n6e8oa 7yx)drp7terl0g,k and a -4.0 mC charge is placed at the 50 cm mard,abnre2)re y 8gxp0v 7 lto67k. 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 mrc32yt dk 33: kx-rul1ln4n(rau9yr -4.0 mC charge is placed at the 50 cm mark. At what point on a line r xa3kl3 n(tl9kr 4r -:yrn3udumc21yjoining the two charges is the electric field zero?

  Two point charges of +3.0 mC and icjz05b,x ;r ia pwk :wkd-2;a-7.0 mC are placed at x = 0 and x = 0.20 m. What irw2zcka-0d pi jx;a 5;:,bwi ks 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 d;d oz8zom ,7g.d 4zamof side 0.50 m. The last corner is occupied by a -3.0 mC charge. Find the electric field at thdz ;am.4 omdzo8d ,7gze center of the square.

  Consider a square which is 1.0 m on a side. Charges are placed at the corn llr:6bx90k gbers 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 the square's centl6l:9b xkbrg0 er?

  A force of 10 N acts on a charge of 5.0 mC when it is placed in a uniform 6cnx epr;a-y1electric fap nrx-1e 6cy;ield. What is the magnitude of this electric field?

  A particle with a charge viaml 6gbfh qff7r8w+u3ta4x 1sj-/* 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 field 0ib ( y ktuafds:uxbs-a6*5s*of 6000 N/C pointid5t:x - (sus6auias* bfb* 0kyng downward. What 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 p vm+zu too90st9g5:m placed inside a uniform electric field, aozg 9: 0s9tmmot vpu5+nd 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(vv4i zrhh(i1 mm84 qm a charge of +2.0 mC. What is the magnitude of the electric field 5.0 c q h1v(8mrvi4m( mi4zhm from the sphere's surface?

  A metal sphere of radius 2.0 cm carries a charge of 3.0 mC. Wha2pbuo-dfl8a1g v oo) +t is the electric field 6.0 cm from the cendo 1 )aufpolb+2 o-8vgter of the sphere?