State the law of conse euxhlllm4*1; tjn nl*pw2byo,1g9; xrvation of electric charge.

  Is it possible for two negative charges to attract eabkal5 h2xlt sfzp 5zz/0(4ey1ch other?

  Is it possible for a positive and a negative chargew, *(cofqoj/ia(c-f v to attract each other?

  A glass rod is rubbed with a piece : ; xggv7wzv*(-e nzwqof silk. During the process the glass rod acquires a positive charg v;nvqzgw g :*-(ze7wxe and the silk

  A proton carries a

  The model of the atom sho,po nx07uif9d ws a

  A neutral atom alwayc+hd j5 qphdx,n);*jjs has

  An atom has more electrons than protons. The atom ishn 26dtx,vn1k

  Materials in which the electrons are bound very tightly to the nuclei are r) erd.zlns0nj0 ; fgdn- r; h ;uzglg.pq5y-0ueferred t g;;d f.u ejh0-zgzslpqg l5r)n0yrn.0; -udno as

  Materials in which the ni pjq2 a5tplnk.ta b r y9)-2)qz9j3kelectrons are bound very loosely to the nuclei and can move about freely within the material are referred to ast i92kqpnaznjq5lrj)-) bkyt p.3 9a2

  A negatively charged rod is brought neaj 9 k)lqcv04bbr one end of an uncharged metal bar. The end of the metack04vjl9bq) bl bar farthest from the charged rod will be charged

  Sphere A carries a net positiv8madjw-o +tq k/ :aez(e charge, and sphere B is neutral. They are placeq/zam we-t ka+:djo8( d near 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 charged rod chargevs1lt9b9cexo:) 5j oo an electroscope positively?

  An originally neutral electroscope is briefly touchedu w:fz ahv2m*if/ t3*j dk7w;l with a positively charged glass rod. The electrosch;z3f: ww ufjl/a*7*kimv 2dtope

  An originally neutral electroscn;il ulg4 i4u7ope is grounded briefly while a positively charged glass rod isu4i; 7lgi4nul held near it. After the glass rod is removed, the electroscope

  A positive object touches a neutral electroscope, and the leaves sew:l/0w z t;hvmparate. Then a negative object is brought near the electroscope, but d/l; m0zwvtw h:oes not touch it. What happens to the leaves?

  A large negatively charged object i556o5 qjx ;yevnm6jcds 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 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;5yx6dc5 mojn6e jq5v?

  Charge is

  What are the units of the Coulomb conov e6 ofzv6z;30dqkqg6 x0gkm8gz6 :sstant $k$, which appears in Coulomb's law?

  Two charged objects are separat purvm-.,n7 xied by a distance d. The first charge is larger in magnitude thar xn.7m -pivu,n the second charge.

  Sphere A carries a net charge and sphere B is neutral. They are pr7snm)eyg 7z m,-km 2ilaced near each other on an insulated table. Which statement be7iz- ks,e y7rnmg) 2mmst describes the electrostatic force between them?

  Two charged objects attr-o 8pnhwi5-ff oqp,.th xb t8*rb2j3lact each other with a certain force. If the charges on both objects are doubled with8ow52p8x-r 3* h,ht.bf o-bl ifnpjqt no change in separation, the force between them

  Two charges are separated by a distance d and exert mutual attractive forces of )wuqatb /sn;6 F on each other. If the chab/as;uq 6wt)nrges are separated by a distance of d/3, what are the new mutual forces?

  Two charged objects attract each other with a force F. W4* gd8mht5kg4 25llieblv:z j hat 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 todglg4h: mt4ivz e2 b58lklj *5

  An electron and a proton are separated by a distance of 1.0 ieq yq0t8l.:r m. What happens to the magnitude of the force on the proton if a second electron is placed nee:8 yi0t.qr qlxt to the first electron?

  An electron and a proton are separated by a distance )gr q9ghyk0q ri40/luof 1.0 m. What happens to the4rlk)giq09/ yhqu r 0g magnitude of the 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. What happens to ;nn6hsza g.f0the size of the force on the proton if the electron is moved .ansfg;h6n0z 0.50 m closer to the proton?

  A point charge of +Q is plas1xq2 u*oq6va/ j:fqg ced at the center of a square. When a second point charge of -Q is place1qxa6f/og : *qvu2 jsqd 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 the positive charge at the center of the square?

  A point charge of +Q is placed at the centro s rzne*cl(1g7-a;ld4; x3ow b9nbjxp id of an equilateral triangle. 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 center charge due to a third charge of +Q placed at 3(jr;7 9xcazop nn4bxebs d g*lwl 1;-one of the other vertices?

  Which of the followingh3+,,m gnj/xstv i. ao is not a vector?

  At twice the distance from a point charge, the strength of the elec :2m* 8vnqwn*myc+apbtric field

  Is it possible to have a zzzc1y ,qunn 9,at.p4*t r :cjpero electric field value between a negative and positive charge along the lq* 9rc,un.y,tp zzta 1jp:nc4ine joining the two charges?

  Is it possible to have a zero electric field value between two positive cbvi9a4mlz. dq5ps h59 harges along the line joining the two chav5 .i9as bmpdqhl5z 49rges?

  Electric field lines nez /( oiwrd3y(un0hmk 6ar psitive point charges

  The electric field show3f ;s+kugfqa b+kp:t77f-j tzn

  Can electric field lines intersect indne2q15d: r bc)8cni o free space?

  A solid block of metal in electrostatic equiliy+no v + wkadx2n,5y2pbrium is placed in a uniform electric field. Give a statement concerning the electric field in the block'an ,p+y22y5xdow+kvns interior.

  If a solid metal sphere and a hollow metal s8;b le)pb x+n1pf;h knphere of equal diameters are each given the same charge, the electric field (E) midway between the center a nppb)nkexb8;l;f1 + hnd the surface is

  A cubic block of aluminum rests on a wooden table in as3b n+war *d5y region where a uniform electric field is directed straight upward. What can be said5rndba +s*wy 3 concerning the charge on the block's top surface?

  If a conductor is in electrostatic equilibrium near an electh7ucgnb. r n40ric charge

  A positive point charge is enclosed in a hollow metal)t :nht uxhb26lic sphere that is grounded. As compared to the case without the hollow sphere, the electric field at 6u tnb 2t)xhh:a point directly above the hollow sphere has

State three properties of condqiom k2 0ygdfox +ykmq6r2u/ :h(;4k iuctors in static equilibrium.

State Gauss's law.

  The charge carried by one electrowogd/k)ksvdu1 h1q/) y(3sun b0 ;rlxyf2uv+ n 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 ma;jjkng ekh6()v 3t 5riny more protons than electronkjen k)v5jr6ti3(h;gs does this piece of plastic have?

  What is the charge ot))y6 tvc/b wpn 1 kg of protons?

  An atomic nucleus has a y1u+5zi +ootcubp+/ng7p 7g x charge 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 ch4 d7uwz4:. 2fup;q z;zrhzx starge values of 2.0 and -4.0 mC, respectively. What is the magnitude of the electric force between t7.hzpz 4 rzx:dw ;;t4z2 sfuuqhem?

  A 1.0-C charge is 15 m from a second charge, and the force between them is 1.0 80 fummc wa9*9b,dyulN. What is the magnitude obm9 ya,wld89 u0*cmf uf the second charge?

  Two 1.0-C charges have a forc) c2wwa:tj5gztts0 9 me between them of 1.0 N. How far apart are they?

  The force between a d1yn/2 9)xbtg/rg+wc*oi ld n$30 \; mC$ 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. jkdmzft l ob:: 13q*x)h*w2b l If they are moved to a new separation of 8.0 cm, what is the elec to1w3hlbf*x*d:qkb 2z ) ml:jtric force between them?

  Three identical point charges of 2al(d7 /ef d4zu.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. Whatezu ddla4 (7/f are the magnitude and direction of the electrostatic force which acts on the charge at the origin?

  Three point charges are placed on the x-axis. A charge of +n- aips5xo y;xor 92e2e8d7kl 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. W2 x2n si yxpk-le957r; eoad8ohat 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 =qf8vf2ts36fwj g6z y. 2.00 mC at x = 1.00 m; Q2 = 3.00 mC at x = 0; Q3 = -5.00 mC at xjg fffz.8w6s3t 6y q2v = -1.00 m. What is the magnitude of the force on the 3.00-mC charge?

  A point charge of +Q is placed x ocws .as q(:s++;qejat the center 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 . cj+;:sq(soaew q s+xof -Q is placed at the lower-left corner?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 = -1.0 nC is at (0f/ ioy3oxy; mj;id;,d(f kp:e, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the magnitude of the net f d;yeo,mj i:f; (d3yki/f;o pxorce 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 = 5.0 nCo4a5(v /rkltc6hg ) qe is at (0, 0). What is the direction ofhtoe4lg /r 56k) a(vqc the net force on the 5.0 nC charge?

  Three identical charges of 3.0 mC are placed at the vertices of an rovkimf;p/2 oi7 pq;:f tlee7h 5kn+;equilateral triangle which measures 30 cm on a side. W; l/kfmetipn hvr2+oofp;: ei 75q7 ;khat is the magnitude of the electrostatic force which acts on any one of the charges?

  Consider point charges of +Q and qt ;3 kf c66ldti4:kav+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 electrostati;t6vld3t 6k a:qkcf 4ic force acting on it would be zero?

  A +3.0-C charge is at the origin and a +9.0-C chargtikc7p.*txj. u t *9cde is at x = 4.0 m. Where on the x-axis can a th9.ixcp *.ttcu*tk j d7ird 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.m3o929smz; occsc6 5waxf. v u Where can a third positive charge +q be placed so that9cv. cusm5co36asw2 o;m 9x zf the force on it is zero?

  A copper penny has a mass of 3.0 g. A total otcq(b2+ ici z2f $4.0 \times 10^{12} \; electrons$ 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 gravtgp-(8o2d)gvn v4f vf5yjjn(,y b 3qdity by the attraction of a fixed proton some dista(v jypv3 ),fd85 2b(-tongy4jgv fndq nce above it. How far above the electron is the proton?

  Two 0.20-g metal spheres are hung from a common point by nonconductikynf dmf)7hr x8up1- (u0iz y, hl2fh7ng threads which are 30 cm long. Both are given identical charges, annu(- f kl707hpfm hi2z ,h8 yf)dr1yuxd 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. j sgmu t;+q,(ccjx9 v.fvm 5uc94h g7f7ov;qe What is the magnitude of the electric field at a distance of 1.0 m frof7 7uqq4c( 9uv,v+ .5jhgmc;gjvm;txc esfo9 m the nucleus?

  What are the magnitude and direction of 4vl*u89 5tqy2 wq:lhp; nd;xsgg(flathe electric field at a distance of 1.50 m from a 50.0-nC c4wp5yt8v gl;h;al f: u9lxqd g2qs(n*harge?

  A 5.0-C charge is 10 m from a small test charge. What is the magnitu vk hj,e+(oft 8nb8x/bde of the electric field at the locati+bb kjen t(8 o8/vxfh,on of the test charge?

  A 5.0-C charge is 10 m from a small test t:zhm;.lu/ qr charge. What is the direction of the electric . qtzu;rl/: mhfield?

  A 5.0-C charge is 10 m from a small test charge. What is m40 2jda baj5e)fvc, ythe magnitude of the force experienced by a 1.0 nC charge placed at ty) aj5ab f,m0cj dev42he location of the test charge?

  Two point charges each have a value of 3.0 C and are separated by a qn+zv xqhig3qg,2 sna4f+ 8; gdistance of 4.0 m. What is the elecnq sx i3fn+ q,zg24q+gv8hg; atric field at a point midway between the two charges?

  A 5.0-mC charge is placed at the 0 cm mark of a mete /4d:g:f4janycsulo 4 r stick and a -4.0 mC charge is placed at the 50 cm mark. What is the electric fn4su4:f:4ogydja /lc ield at the 30 cm mark?

  A 5.0-mC charge is placed at the 0 cm mark,6 yd nyd1p4cw of a meter stick and a -4.0 mC charge is placed at the 50 cm m yy1dp,6w cnd4ark. 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)*y 6v hfooo9aw*z-ei6fb vy; are placed at x = 0 and x = 0.20 m. What is the magnitude of the electric field at the point midv9 ovwzo*e-)f iobhfay*y ; 66way between them?

  Three 3.0 mC charges are at the three corners of a square of side 0.50 mz, wqgju,b+gt6i(.vz. The last corner is occupied by a -3.0 mC charge. Find the electric uqzigwt(.,v zgb6 +j ,field at the center of the square.

  Consider a square which is 1.0b)/ q xrygvx-) m on a side. Charges are placed at the corners of the square as follows: +4.0 mC at (0, b))qgx- vx /ry0); +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 placed in a uniform elec8ub0u-.y ckvc tric field. 8kvycub -u0.cWhat is the magnitude of this electric field?

  A particle with a ch1 9z.itif2icl9p*;z c/u zsxmarge 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 elect(uus+ ))k5l wifx;cbbric field of 6000 N/C pointing downward. What charge must be placed on the ball for it to be susluc+b wkf; sb)x5(ui)pended?

  A foam ball of mass 0.150 g carries a cham8a;nqe(x( ul45f iforge of -2.00 nC. The ball is placed inside a uniform electric field, and is suspended against the force of gravity. What are the magnitude and direction of the electric fieldqeol5im4 x(f;f u(a8n ?

  A metal sphere of raf/(fis+a6r zsdius 10 cm carries a charge of +2.0 mC. What is the magnitude of the electric field 5.0 cm from the sp f6a+z sf/ri(shere's surface?

  A metal sphere of radius 2.0 cm carries a charge of 3ys t/izy)x2;q7)qy f/k5.ij l2 s q.snvsz 5fp.0 mC. What is the electriv)it/q/s. s 52q2x)fqsyy5p; 7i ns.jzzf lkyc field 6.0 cm from the center of the sphere?