State the law of conservation;f clctx3 o(3v of electric charge.

  Is it possible for two negati)2e2198d lo kfbo+ube(yu qrso-f2sfve charges to attract each other?

  Is it possible for a positive and a negative chgu-.:1 srose)dy p 6a sf8,yxnarge to attract each other?

  A glass rod is rubbed with a piece of silk. During0s di ilf:8e *pc/y,bf the process the glass rod acquires a positive charge and ec f*/i,dyifps8:0 blthe silk

  A proton carries a

  The model of the atonc s0egdym/*+b*-l*-cdmz j pm shows a

  A neutral atom alwayw z8ytq:pt-qoczd,x+7 1z q/m s has

  An atom has more electrr c;(e4cjq 9ekm (l)knons than protons. The atom is

  Materials in which the electrons are bound very tightly to thnt m7kyw zr.:)e nuclei are referred tt7)kr. :nmwyzo as

  Materials in which the electrons are bound very loosely to trr exit )h0:;p:bp9 ma xpcs:*he nuclei and can move about freely within the material ics* h) pbxp eax:0;m:9trrp: are referred to as

  A negatively charged bt/(fnko+ea-az y,n ; rod is brought near one end of an uncharged metal bar. The end of the metal bar farthest from thefn;/a-t ,za oe (bny+k charged rod will be charged

  Sphere A carries a net positive charge, and sphere B is neutral. They are plraro)( f q*oy-aced near each other on an insulated table. Sphere B is briefly touched with a wire that is grounde-qa(f)r*oo ry d. Which statement is correct?

  How can a negatively charged g68 dn+1oz.tigtxo1dkx f md8//p h0srod charge an electroscope positively?

  An originally neutral electroscope is brik en(td21zs,jefly touched with a positively charged glass rod. T 1setz2(k, djnhe electroscope

  An originally neutral electroscope is(qaszm k :qu3; grounded briefly while a positively charged glass rod is held near it. After the glass rod aq3zu ;:( qmskis removed, the electroscope

  A positive object touches a neutral electroscope, and the leaves separate. fvt ;xeqbk*d) 1( ac;cThen a negative oce(cfqkx d vt;1a*;b)bject is brought near the electroscope, but does not touch it. What happens to the leaves?

  A large negatively charged object is placed on an insulated table..e,2w y.tf6nq7ajjoh 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 st jn2,ojfwae t 6h..y7qops. 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 thhns)i q:+.e ste Coulomb constant $k$, which appears in Coulomb's law?

  Two charged objects are separath r/sgu4wa.1x4sls vs s*h-v- ed by a distance d. The first charge is larger in v*.a1luh 4vxsr -hs -sw/4sg smagnitude than the second charge.

  Sphere A carries a net charge and sphere B is neutral. Tc .fsrz ,;5ghg9p*whkhey are placed near each other on an insulated z,h9s.5cwf ;r ghkgp*table. Which statement best describes the electrostatic force between them?

  Two charged objects attract each other with a certain force. Inrf4gn :t61bsq) .m6f(ehlplf the charges on both objects are dosn nf pr6.qe4)1lbh mfl 6(g:tubled with no change in separation, the force between them

  Two charges are separated by a distance d and exert mutb )ty:qeyoc, +ual attractive forces of F on each other. If the charges are separated by a distance of d/ cye :oq+byt,)3, what are the new mutual forces?

  Two charged objects attract each o )g qov.-c5dxrther 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 centedogrxc .-)vq 5rs is reduced to one-fourth its original value? The force is now equal to

  An electron and a proton aretv8yohu8, dd /wpznd+sfh6utx;i 0 8 + separated by a distance of 1.0 m. What happens to the magnitude of the fwxdpdui8h f; h+y8u, t o+d6nzv8 s/t0orce on the proton if a second electron is placed next to the first electron?

  An electron and a proton are separated by 7hb*n6 )ph-lkb;ltrz;u-ow( sidq 9ra distance of 1.0 m. What happens to the magnitude of k)br;7* r-hdtlniz whqs9o (p;-l b u6the 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 of5 +iip :mvgt7g 1.0 m. What happens to the size of the force on the proton if the pvig5+ i:m g7telectron is moved 0.50 m closer to the proton?

  A point charge of +Q is placed at the co4 bu3byox4 lts;( w0;m.mvbwenter of a square. When a second point charge of -Q is placed at one of thb u y4st .0m;o(x3w4bl wo;vbme 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 centroid of an equilateral trij 1o*7o b21 fzp jzfjudmr-ky1z 6m(,pangle. 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 one of the other mz-z oj f d121kpmy*76pfbz j jru,o(1vertices?

  Which of the following i9 02rxrqd5klxx e4y o2s not a vector?

  At twice the distance from a pxo538clw gae7 wlpg;ckum4a /o3eu2)oint charge, the strength of the electric field

  Is it possible to have a zero electric field value between a negatived:s a be ngh*ynmsw(9.1vk7 x5 and positive charge along the line joining the two chargeysg dhax.:e5n7b(wk*9v sn 1ms?

  Is it possible to have a zero electric field value between two positihfis* zo:w wkhpa;+ -gk j,eazc vw;+4(7w6ma ve charges along tsi++ 4hpem w*;:cww wa(zjv ka h6g; z-,oka7fhe line joining the two charges?

  Electric field lines near psiti/ fu5di, *yigeve point charges

  The electric field sc9p e62ubp(:bp-dm gsg7tbl)hown

  Can electric field liftgg5 la11 wo3nes intersect in free space?

  A solid block of metal in electrostatic equilibr p5m5nad y pn+x37qc5bium is placed in a uniform electric field. Give a statement cpbmy7qc3 n np55x 5+adoncerning the electric field in the block's interior.

  If a solid metal sphere and a hollow metal sphere of equal dxuk, 8vy+ms rb*l w58giameters are each given the same charge, the electric field (E) midway between the center and the surkxw8 u5mgy + vsrb8l,*face is

  A cubic block of aluminum rests on a wooden table in a region where a unifoir:w 0wc-qe7 *e1 r5vcaudf fv07hug/rm electric field is directed straighq0fe u/vaidr-w *1w g70cv c eruh:5f7t upward. What can be said concerning the charge on the block's top surface?

  If a conductor is in electrostaticz fs)px57,i ho equilibrium near an electric charge

  A positive point charge is enclosed in a h t+/juui5b sq:tk+ 5uvollow metallic sphere that is grounded. As compared to the case without the hollow sphere, the electric field at a point directly above the hollow sphere has+ q b55vj/:uu+uitt sk

State three properties of tp9/5e/ yi4,mq,es 9fp+ec,jzeg ftyconductors in static equilibrium.

State Gauss's law.

  The charge carried by t8mp6 (ptbom+i8 26vuihpe .+q lz bn1one 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 ner)4qk0 pfmt8 jt charge of +2.00 mC. How many more protons than electrons does this piece j )t8mpfqk40 rof plastic have?

  What is the charge on 1 kg of prot+00zw5gnqqnc.;q d ddons?

  An atomic nucleus has a charg0rp f3(zujof cj5. 8pd+o4ow le 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 -9zs :iia8,u0m s:t xksohh(fcharge values of 2.0 and -4.0 mC, respectively. What is the magnitude of the h(, z9:is8ht- 0uxf sako:im selectric force between them?

  A 1.0-C charge is 15 m from a s3c ljcrn-y+xnh2 a -0tyiw- 15qsp1egecond charge, and the force between them is 1.0 N. What is the manyct2-hnily jr-+e3x p1 05s1 c gq-awgnitude of the second charge?

  Two 1.0-C charges have a force between them of 1.0 N. How farvn7vj2lt-y kmag(5q6 apart are they?

  The force between a o:(v (ctal,c a0ygmj1$30 \; mC$ 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. Ir2x+u8h+zhlk f they are movedrzxlu2+hh8+ k to a new separation of 8.0 cm, what is the electric force between them?

  Three identical point charges of 2.0 mC are placed on the x-axi6rnks97zdsxq 6bq+ 9iq;k- r/vaix d:s. 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/6srdbq7in9+s q ;q9k:6x dxavz- kri 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 chargerj.v3 o)12hhclds,fcm p n 1b0eu.g8e 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.oeec1 np dbcu0mv2j3h, s1frgl8h). 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 ats q;y;85l ez4opgnsq/ 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. What ;l8 yp5qsg;oz/ n4sqeis the magnitude of the force on the 3.00-mC charge?

  A point charge of +Q is placed at the center of a square, afos r 3 up;-l:m(ifxkps e9 ky1ug0;d8nd a second point charge of -Q is placed at the upper-left corner. It is observed that an electrostatic force of 2.0 N a1lsr3o8dk;m upx9if efk-u:;ys ( p0gcts 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 m); Q3 = 5.0 /vw8wf0ag;ms8(vq w qnC is at (0, 0). What is the magnitude of the net force on the 5.0 nC c;808wg/( v qsvmq wfwaharge?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 = -1.0 nC is at (0, 0.(tdqbzz41 ( jh10 m); Q3 = 5.0 nC is at (0, 0). What is the t4(dz(jbh1q zdirection of the net force on the 5.0 nC charge?

  Three identical charges of 3.0 mC are placed at the ve;q k, d-k)il ed i:kq/ivhrlz i7z)9i9rtices of an equilateral tria/lke9iki,vri;qdq k :z7i )-)9lzidhngle which measures 30 cm on a side. What is the magnitude of the electrostatic force which acts on any one of the charges?

  Consider point charges of +Q and +4Q, whichn6jqjj h5 .+n3 jpw1kx are separated by 3.0 m. At what point, on a line between thkx p+6jj1.qj3hn j5w ne 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 asr*8smj () esfnd a +9.0-C charge is at x = 4.0 m. Where on the x-axis can a third charge be placed so the net force on it isesjfr 8s*m()s zero?

  Charge +2q is placed at the origin and p tqc 4rrh4(d)charge -q is placed at x = 2a. Where can a third positive charge +q br(p rqc t4)4hde placed so that the force on it is zero?

  A copper penny has a mass ofxr(8mup/ f9phbqtv qh)46mf ; ks f)n: 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 the131gvg-k4lf- wtwk zd h)0csc force of gravity by the attraction of a fixed proton some distance above it. How far above thekvfkwcc)gl4dsght w0z-3 -1 1 electron is the proton?

  Two 0.20-g metal spheres are hung from a common point by nonconducting th +qn1b8/y j1 kqbuu3v:l ,fgfcreads which arkb ,u nfqg1vf8/uc:+yq 1bj3le 30 cm long. Both are given 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 ma 5c8dzcxh 0s+v0ezb7ognitude of the electric field atsce07zvzcd80hob 5+x a distance of 1.0 m from the nucleus?

  What are the magnitude and directions *wyf:t 4tna: of the electric field at a distance of 1.50tf y:sn:* at4w m from a 50.0-nC charge?

  A 5.0-C charge is 10 m from a small test charge. What is the magfu(/lv*h;ib gi7daf,nitude of the electric field at/u(if7hldb v f*g; ,ia the location of the test charge?

  A 5.0-C charge is 10 m from a small test charge. What ,odwwp, 7w ku,is the direction of the electric fiew, ,w kouw,pd7ld?

  A 5.0-C charge is 10 m from a small tesou6m2pv08 skfkw 87wpm4g e 5wt charge. What is the magnitude of the force experienwguk5me7pm6spwfv8 o 0k2 8w4ced by a 1.0 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 distance ofz.+ldjz :8mdck n-g6y 4lgknj.8d:yzz mc6d-+ .0 m. What is the electric field at a point midway between the two charges?

  A 5.0-mC charge is plli powb ,bs gh/p1,lg(-iv*c,8cr ( nqaced at the 0 cm mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mar-1/,,,bg l ir(bnhpi8qscl opgc* vw(k. 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 -4.0 m j98bci t5y6jbb gb0h4C charge j cbhjb84t5bgb6y 0i9is placed at the 50 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 at x =nl6 e/x,b6xj5f d )stunnj4;1ym,b;oif3wg v 0 and x = 0.20 m. What is the ma) f njjgbnl w;sfu o6/v1 iy,53e ;6,bdt4mxnxgnitude of the electric field at the point midway between them?

  Three 3.0 mC charges are at the three corners of a square of side 0.50 m. Tl ammw1.9gd9 zhe lgl9 1ma.mw 9dzast corner is occupied by a -3.0 mC charge. Find the electric field at the center of the square.

  Consider a square which is 1.0 m on a side. Charges are placeen gl 7oid0zq(v:i-/ed at the corners 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 v0eeqo 7g- zl:dn ii/(magnitude of the electric field at the square's center?

  A force of 10 N acts toiz6+xbuy (j. c*r8xon a charge of 5.0 mC when it is placed in a uniform electr.yot x8r6(u x+*zbj icic field. What is the magnitude of this electric field?

  A particle with a charge of 4.0 mC has a masju:azqb 4:- po ,fq(xjhjp:tsj7 01fls 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 electri2(:0w9vu5mv wmii2a4moit. q qwnfn 0c field of 6000 N/C pointing downward. What charge must be placed on the ball for it to be suspe0.2:q5f2 0 wum n(wi9mwa mtqv4oiniv nded?

  A foam ball of mass 0.150 g carries a charge of -2.00 nC. The btmvl7 +rxwoa ;v// 11sejvg- fall is placed inside a uniform eoawl1vg/ej;x-+/ vvrmt71 sf lectric field, and is suspended against the force of gravity. What are the magnitude and direction of the electric field?

  A metal sphere of radius x yb3p0zbma+110 cm carries a charge of +2.0 mC. What is the magnitudbz30bam +px y1e of the electric field 5.0 cm from the sphere's surface?

  A metal sphere of radius 2.0 cm carries aumm0 5v** xcs +3wq d3yf7iqhg charge of 3.0 mC. What is the electric field 6.0 cm ff5*yi+v xm3u* q wg70shqcd3mrom the center of the sphere?