State the law of conservation s20 )gx- iakt,yt3nmnciy:1fof electric charge.

  Is it possible for two negative chargebiq*oaxhw z*g)au f7k ; x32k+s to attract each other?

  Is it possible for a positive and a xu4fe+y-kogt0wh3v , negative charge to attract each other?

  A glass rod is rubbed with a piece of silk. During the process the gz 7y*.k.b idaxlass rod acquires azdxik7.y .ab* positive charge and the silk

  A proton carries a

  The model of the atom -k h+*dw7ltqi(ss6wpshows a

  A neutral atom always haa.o* mla+aoi hjq-)l-da* j( hs

  An atom has more electrons than protonm; hoeozzix8 8ztx+/+ s. The atom is

  Materials in which the electrons are bound very tightly to the nuclei a635nlclli3mx re referre 6n53icxm3 llld to as

  Materials in which the electrons are b, )b8ank*yx bmy vggt*bn;b0/lj51pqound very loosely to the nuclei and can move about freely within the material ar) qa0;tb ,ymgglk *bxn5v*/ bpbj y8n1e referred to as

  A negatively charged rod is brought near one end of ajc/r rzyyc;z0+73 wnfn uncharged metal bar. The end of the metal bar farthest from the charged rod will be charge c3+zycr7y w;0zr/nfj d

  Sphere A carries a net positive charge, and g qxi9;6qw2 i :4ffzkdsphere B is neutral. They are placed near each other on an insulated table. Sphere B is briefly touched with a wire that is grou: gf64fzd xk9;2iqwi qnded. Which statement is correct?

  How can a negatively chargernizv9/ l yplu+*8yyt/ hc+8j d rod charge an electroscope positively?

  An originally neutral electroscope is briefly toxu/0j,ob u r2ouched with a positively charged glass rod. x2bj0r,ou/u oThe electroscope

  An originally neutral electroscope is grounded briefly wh)2* zbzfjhmay2 2v+liile a positively charged glass rod is held near it. After the glass rod is removed, the ez 2jha22yi* bvfz+lm)lectroscope

  A positive object touch 6t)7ha fnbl9s8w8xlu0sb8gses a neutral electroscope, and the leaves separate. Then a negative object is brought near the electroscope, but does not touch it. What s n 7tlbs6lw ahg8b 8xfs)9u80happens to the leaves?

  A large negatively charged object is placed ug.jso7 j+8a qle(kx 5on 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 tim xgj8 7(.ojulq+5e skae does either ball touch the negative object. What is the final charge on each ball?

  Charge is

  What are the units of t 8 ()el1.q vz6t:zo;vwywwd vlhe Coulomb constant $k$, which appears in Coulomb's law?

  Two charged objects are separated by a distance d. 7;n-dl9; mi sh0nu8ahjoe7nz The first charge is larger in magnitude than the second u; -dniaj8mhln;70z heos9 n7 charge.

  Sphere A carries a net charge and sphere B is neutral. They are pla-x bb w-x1g6ciced near each other on an insulated tablec-w1g -6bbxix . Which statement best describes the electrostatic force between them?

  Two charged objects attract eagql+ssgfn 8j b:f 8a47x*i n7nch other with a certain force. If the charges on both objects are doubled with no change in seps8j8li*a qg4ns fg+7:7 fnxb naration, the force between them

  Two charges are separated by a distance d and exert mutual attractivfzwbl5 75 5qv2 m8wrmie forces of F on each other. If the charges are separated by a distance of d/3, what are the new mutu mwzv5blw7f2 q i8r55mal forces?

  Two charged objects a2,ir rqxrb7w66 cs5m cttract 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 rc wsx6,q c 65rmr27bioriginal value? The force is now equal to

  An electron and a proton are separated by a distance of 1.0 m. rqi- wf9 7we9by(om5i What happens to the magnitude of the force boyq599 im(feiw 7-wron 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.in t*d(ip,khadix 0r;-w/o- x What happens to the magnitude of the force on the first electron if a second electron is plix0kaih-o;t p d-/xnd,*wri(aced next to the proton?

  An electron and a proton are separated by a distance of 1.0 m. What happenst w*.olvn))yn ;vl m 2chx+o5e to the size of the fo l cmoh neowy).)nv5xl t2*+;vrce 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.leka.q 8 7 ebdrl-e5t8cph27j 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 the positive charge at the center of the square?5rt7b-aed 8.l 8epqelc72jhk

  A point charge of +Q is placed at the c.n5+ piifbim( entroid 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 5nb iif.pmi(+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 i53jh)v 3bg d1rc vj9*97zpixmk5vwvk s not a vector?

  At twice the distance fromm*5yt;byp* j x a point charge, the strength of the electric field

  Is it possible to have a zero gn)ojj.ll. 4tesfvn l;g:44 x electric field value between a negative and positive charge along the lin leol:l n.x.; snjv4g4j4ftg) e joining the two charges?

  Is it possible to have a zero electric field value betweej:( *5dxdkwywn16.a tcrsm0 x rpm)u0n two positive charges along s*wd1 m. 5n0 utcxrym)xajw:r60(kd pthe line joining the two charges?

  Electric field lines near psihs /pmac3l6s7 tive point charges

  The electric field shodyd4sdeoj31 w-5p +h2mc hrd.wn

  Can electric field lines intersect inlrdpy + rqp..y*4ims0 free space?

  A solid block of metal in electrostatic equilibrium a.)9sduk .kf9s/b t vbis placed in a uniform electric field. Give a statement conctsvs/f9u ) bd.akkb9.erning the electric field in the block's interior.

  If a solid metal sphe*m xnr*k6f;op re and a hollow metal sphere of equal diameters are each given the same charge, the electric field (E) midway between the centero *;pmf*nx6k r and the surface is

  A cubic block of aluminum rests on a wooden table in a region where a ue,ns-jyq l 6m/su4lj(niform electric field is directed ss-yqml4/, ns j 6(ljeutraight upward. What can be said concerning the charge on the block's top surface?

  If a conductor is in electrostatic equilibrium near ang7j.p(loykr cvp8 . -p electric charge

  A positive point charge is enclosed in a hollow metallvl)hl i,b9rat jt* *3gic sphere that is grounded. As compared to the case without the hollow sphere, the electric field at a point directly above thevt) 9 h3ljalti,*rbg * hollow sphere has

State three properties of cni6k)jheo,6 6mbnlskw4,pgcp,v 06/nmro w 3onductors in static equilibrium.

State Gauss's law.

  The charge carried by one elej2 s+8m rrgwgcb28.vz/gw 9vq ctron 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.c(dc8nt u9a4i .v c.aq How many more protons than electrons does this8cc 49 it.u(.vaa dqnc piece of plastic have?

  What is the charge on 1 kg of protons?twpc pq ) 5x)u,6.ixek

  An atomic nucleus has a charge o i+(7z/d 1 qwlsdszhyu ;9ad2tf $+40e$. 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, 2t 6 n+srzl7inqj3l+ lrespectively. What is the magnitude of the electric force b6llr l +jn2+sqz3itn7 etween them?

  A 1.0-C charge is 15 m from a second chargp+pt efraiv6 m8:y/7ke, and the force between them is 1.0 N. What is the magnitude of the second+akv6p / yp8e7t:imfr charge?

  Two 1.0-C charges hav q7n+ro0esv ,ni 8-0nsk0:f3ote fcene a force between them of 1.0 N. How far apart are they?

  The force between a h,j .2uo-1ms(fd hkmp*z/gx y $30 \; mC$ charge and a $-90 \; mC$ charge is 1.8 N. How far apart are they?

  Two point charges, initially 2.0 cm a bvtvn01u /q;v5rcms3 gtoa:0part, experience a 1.0-N force. If they are moved to a new separation of 8.0 cm, what is the electric force between t3c;:n05tg/v om v0bau t1qrs vhem?

  Three identical point chargesdvttx5slxdz 6- 2l7uch5, r2j 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 the electrostatic forct vll,2dxz rs65h d2ux7tjc5- e which acts on the charge at the origin?

  Three point charges are placed on thy++b3sex3 lcfe x-axis. A charge of +2.0 mC is placed at the origin, -2.0 m x3yfb s++ lc3eC 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 followivwfxecu,k(4:u+0wn4 w 4j key: u (pwxng 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. What is the magnitude of the force on tnw pwwu +0vexe ywukkc4x,4 j(::4f( uhe 3.00-mC charge?

  A point charge of +Q is placed at the cfbf8); 2; phafl3 w3hyi srky5enter of a square, and a second point charge of -Q is placed at the upper-left corner. It is observed b 3l fh3yfra8s p)f5y;w2h ik;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 = -1.0 nC is at (0, 0.10 g j4r-exi;b((zh:eky m); Q3 = 5.0 nC is at (0, 0). What is the magnitudeiz key: j(hg(-e; 4xrb of the net force on the 5.0 nC charge?

  Q1 = 6.0 nC is at (0.30 m))f8p xgfctu89g 8v c8xr-sj e, 0); Q2 = -1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). Whe9cv8-88xf) t c8jr)gfp u sxgat is the direction of the net force on the 5.0 nC charge?

  Three identical charges of 3.0 mC are plac 06go4wrw 1em/iwem8sed at the vertices of an equilateral triangle which measures 30 cm on a side. What is the magnitude of the electrostatic force which acts e w1/w6i8 rsem4ow0gmon any one of the charges?

  Consider point charges of +Q and +4Q, which are separated by 3.0 m. 1mp- uj ; aaz03pp.eo1zrh -ozAt what point, on a line between the two charges, would it be possible to place a charge of -Q suoh.ap1a rmpo up;3z0z- z-j 1ech that the electrostatic force acting on it would be zero?

  A +3.0-C charge is at the origin and a +9.0-C charge is at x = 4.xs65 shsv: 8 ,h n4ypo/n7uyjr0 m. Where on the x-axis can a third charge be placed so the net force oh7 h,46n5 oyr u:8 ssvj/nypsxn it is zero?

  Charge +2q is placed at the origin and charge -q is placed at x bn9e,,fi/ e 3v:d wlldivu)8k = 2a. Where can a third positive charge + 3fb diu: ,e8l)i/k9wv dvlne,q be placed so that the force on it is zero?

  A copper penny has a mass of 3.u m ,g4ke4h;bd0 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 o):-9t w pr(o8mlx-4x:9rfg ulo kh,qz6eix oo f gravity by the attraction of a fixed proton some distance above 8:9, ezpr6qx ig-xh9f) -u(4 rxktoooll wm:oit. How far above the electron is the proton?

  Two 0.20-g metal spheres are hung from a common point by nonconduc/ghczc u;ocn fll6) )6uv+ vn(ting threads which are 30 cm long. Both are given identical chargesuc ;ul vv+zc)h6(lo)cgfn/ 6n, 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 ag*y ez5o 7jv-e8ewrt( charge of +40e. What is the magnitude of the electric field at a distance of 1.0 m fre *ewe-y7( z o5jtvg8rom the nucleus?

  What are the magnitude and direction of the electric fiv 9::83hx a ;e7oxdrc gigcqp*eld at a distance of 1.50 m fromg3 gv*8 :cecd :7ahio9pr;x qx a 50.0-nC charge?

  A 5.0-C charge is 10 m from a small tes sckw46t dbi9pv(;u( st charge. What is the magnitude of the electric field at the location of the tsp vbskd(w6 ci;u9t4 (est charge?

  A 5.0-C charge is 10 m from a small test cx: (ld0tcs 6f*cjj+i;sv -oqyharge. What is the direction of the electricd0f(;c *joq 6txj:ys vcs+-il field?

  A 5.0-C charge is 10 m from a small test charg -s+b-o/ ln)b.e4mgzu ktx h1ge. What is the magnitude of the force experienced by a 1.0gunbskmg-.e/l41 )h- z t+xb o nC charge placed at the location of the test charge?

  Two point charges each have a value of 3.0 C and are separated by a distancebfyb /oe 65jwxgash+t7s7 gdhg1x; c;. 0)hx x of 4.0 m. What is the electric field at a point midway between the two char7)bx;75j + g 6wxdgbx.xetfso;chgh10/ yahs ges?

  A 5.0-mC charge is placed at the 0a./ uh**jy0 pqfoo0g 4ul 4cnq cm mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mark. What is the electric field at the 30 cm m j.p4lf uqcn/q40g*y uah0oo*ark?

  A 5.0-mC charge is placed at tj,nj5 v8qn6x khe 0 cm mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mark. At what point on a 8qjv56, xjn nkline 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 and x = 0.2uq dlll,yg .uwbx;d*g2+w.j 30 m. What is t;yu+bg.3jx* lgd qul,wl .w2dhe magnitude of the electric field at the point midway between them?

  Three 3.0 mC charges are at 0c vj0n)zq9e/tt0y 5.o.tgjizlob+ bthe three corners of a square of side 0.50 m. The last corner is occupied by a -3.0 mC charge. Find the bgnc05e9z )0.ozt +tjty / lqivob0 .jelectric field at the center of the square.

  Consider a square which is 1.0 m on a side. Charges are placed at the c ztr)0a4h kal,orners of the square as follows: lz0rkat,) h4a+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 center?

  A force of 10 N acts on a ceo l/ph6g f.u2harge of 5.0 mC when it is placed in a uniform electric field. What is the magnitud/hpu 26.floege of this electric field?

  A particle with a charge of 4.0 mC has a mass of epn4ii .im scj3; 5ev+a/p ,dm$5.0 \times 10^{-3} \; kg$. 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 of r;. ;r1mxymj 3dq( ccb6000 N/C pointing downward. What charge m.ry m c3(x;1cb;mrdq just be placed on the ball for it to be suspended?

  A foam ball of mass 0.150 g x* 3pa8d/8kb kzp pko5/5yne vcarries a charge of -2.00 nC. The ball is placed inside a uniform electric eppka/zkv3 do5 p k5/bn88yx* field, and is suspended against the force of gravity. What are the magnitude and direction of the electric field?

  A metal sphere of radius mci,zwp b::y+ 10 cm carries a charge of +2.0 mC. What is the magnitude of the electric field 5.0 cm from the sphery+p ,ci:b: mwze's surface?

  A metal sphere of radius 2.0 cm car1 h( 6xsmlygy0ries a charge of 3.0 mC. What is the electric field 6.0 cm from the center of the (0lgy1 6xy mhssphere?