State the law of conservationj+wuva 1)n1j3af8v8t(kk i2h qln ,fc of electric charge.

  Is it possible for two negative charges to attract each other? bb sxl ;x5y,qlje*r/.

  Is it possible for a positive and a negative charge to attractpmold4 t8 .ud: each other?

  A glass rod is rubbed with a piece of silk. During tq 5+kj,c+pe bmhe process the glass rod acquir p ,mkejbc5++qes a positive charge and the silk

  A proton carries a

  The model of the atom shows krx-7un1nw .p a

  A neutral atom always hvd-d.)z pcr- 8ckt:g0 y dus9m ld47xaas

  An atom has more electrons than protons. The8 9o +nl*vkntb atom is

  Materials in which the electrons are bound very tightly to the nuclei are ref bii,ux3p6+p ferred to asf b63,+puxp ii

  Materials in which the electrons are bound verft+. i iy6*gddy loosely to the nuclei and can move about freeii t.6yfdg*+d ly within the material are referred to as

  A negatively charged rod is brought near one end of an kz 5k0 a+fnxzoul ,* ,mc)j3kkuncharged metal bar. The end )z ok5mzxk*jk k,+ uf3c nl0,aof the metal bar farthest from the charged rod will be charged

  Sphere A carries a net positive charge, d6 fu2.m pa-x:t ng 9lly2qt9hp,vpq;and sphere B is neutral. They are placed near each other on an insulated table. Sphere B is briefly touched with a wire that is grounded. Whic;fdn6yp-p9lq gh: m tpt a,u92v2 l.xqh statement is correct?

  How can a negatively charged rod charge an electroscope positively?8t/w3 rm2l3a co:eylt* l( sez

  An originally neutral electroscope is briefly touched with a pookdi gap4w055sitively charged glo 0 5piw5gdka4ass rod. The electroscope

  An originally neutral electroscope is grounded briefly while a positivelybn/7nwyh3 pl6k.m.t3f 7m sa d charged glass rod is held near it. After the glass rod is removed, the electroscop.d m3kn y7s t7bnm36haf.l w/pe

  A positive object touches a neutral electroscope, and the leaves separfrnb2x )zlw:)cl hi84.zw w i1ate. Then a negative object is brought near the electroscope, but does not touch it. What happens to the)zix4h1r )inl2: zbf8 clww. w leaves?

  A large negatively charged object is placed on an insulated table. Aq.d6yw x/ j2ga neutral metallic ball rolls straight toward the object, but stops before it touches it. A second neutral metallic ball rolls along the path followe 6q.jayxd2w g/d 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?

  Charge is

  What are the units of the Coulomb constan-+ j er ptktm5ipgj;s xpipdfop1; 8l 1h5o7-)t $k$, which appears in Coulomb's law?

  Two charged objects are separated by a distance d. The first charg)bc3d6wlfeqt 9 o;j0p e is larger in mag63; t j)woc0lpdb9qe fnitude than the second charge.

  Sphere A carries a net charge andc8lt.m b;ak -en qne77+x wdo/ sphere B is neutral. They are placed near each other on an insulated table. Which statement best d8 ;k 7.dlmna/wqx-bn+cete o7 escribes the electrostatic force between them?

  Two charged objects atqxsrrwh6;m( 25on g z8tract each other with a certain force. If the charges on both objects are doubled with no change in separat6n gq8rzh 2;sxmr5o w(ion, the force between them

  Two charges are separated by a distance d and exert mutual attractir )r ph/(r*h3/tlfa omve forces of F on each other. If the charges are separated by a distancra/ /hrof3mhtrp l )(*e of d/3, what are the new mutual forces?

  Two charged objects attract each other with a force F. What happens to the fa(:dty; xvz4y orce 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 ori(zt a 4y;dyx:vginal value? The force is now equal to

  An electron and a proton are sepaq , ta5wa3/jzgrated by a distance of 1.0 m. What happens to the magnitude of the force on the proton if a second electron is placga,wq atj/ 35zed next to the first electron?

  An electron and a proton are separated by a distance of 1.0 m. What happew;p-(q3 h+vmr rm-fhw ns to the magnitude of the force on the first electp f rr- hqwh3-(;w+mmvron if a second electron is placed next to the proton?

  An electron and a proton are separat z wu8idi to8+xf4jp7-ed by a distance of 1.0 m. What happens to the size of the force on the proton if the electron is mo4p j+ di8w x8ofzi-u7tved 0.50 m closer to the proton?

  A point charge of +Q is placed at the - rg)5qgohrtyge m+9l( 8 mot8center of a square. 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 center88tr+ -qegh)y5tm ogl(og 9 mr. 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 ka/l8-ljy9jqthe centroid of an equilateral triangle. When a second charl qj-9 kyj8/alge 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 vertices?

  Which of the following is whoj),ht /v+b not a vector?

  At twice the distance from a point charge, the strength of the el,voq:ccn. s y6ectric field

  Is it possible to have a zero electrcg4 y7(nbb d(hic field value between a negative and positive charge along the li 4ygb(bchnd( 7ne joining the two charges?

  Is it possible to have a55cjfo0 btdpo3lq d161x dfh, zero electric field value between two positive charges along the line joining d3ojpq6bh1ft5f, d5 locd0x1the two charges?

  Electric field lines near psitive point chargelizd qz,6q5ofnbk:,i zh23 4 cs

  The electric field show/ c6y u7uqitl0n

  Can electric field lines inters)vuij5+(2x *.lzo; ccgxm t62 ik;xoeh oy (hrect in free space?

  A solid block of metal in eleckj77n xxv vv7n agk+vev r3x: z3d1f5(trostatic equilibrium is placed in a uniform electrv7 r1vk7nax3z75+vfnjd3:( xv xge kvic field. Give a statement concerning the electric field in the block's interior.

  If a solid metal sphere and a hollow mcv.ug/8f:x*w. cjbhwetal sphere of equal diameters are each given the same charge, the xw8cb fj .*.c/uw:vhg electric field (E) midway between the center and the surface is

  A cubic block of aluminum rests on a wooden table in a regikm i;m.cg8k0+ *jnuzleh ml(: on where a uniform electric field is directed s:gmh0.u+ cki mkelz 8jn(*;mltraight upward. What can be said concerning the charge on the block's top surface?

  If a conductor is in electrostatic equilibrium nf (qsujqvq/r if):.ah / .r9iaear an electric charge

  A positive point charge is enclosed in a holln+,a0 4kbtf73th bio:s6 l iyxow metallic sphere that is grounded. As compared to the case without the hollow sphere, the electric field at a point directly abova7,6byih x:oksbi 34 t 0ftn+le the hollow sphere has

State three properties of conductors in static equilibx be(i(k lgejix:-n)/rium.

State Gauss's law.

  The charge carried by one ej:i-ac bqfjr2 + -bv 8zcivr.)lectron 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 more protons than elc/:veqzu : yc9 8p,lzq 0vflak6q8eo +ectrons does this piece ofvqzqfal+ z0 8 q,c/y uv:e pe9c:ol8k6 plastic have?

  What is the charge on 1 a19p r7-obogwv(y/xad c 5+ qxkg of protons?

  An atomic nucleus has a j8i d o1i*+wsi+osl; iwnv2q6charge 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 charg+wd)j ,3 tvu zw9;nhcre values of 2.0 and -4.0 mC, respectively. What is the magni,;v +jcduntr)3hzw 9wtude of the electric force between them?

  A 1.0-C charge is 15 m from a second charge, and the force between them is 1ihdfgdv+.e1 om r7ox g1bmq su:21(z/d l s7.a.0 N. What is the magnitude of the second g1s .mgas omxedl17r:q (o/1vd.uzdib2+f 7h charge?

  Two 1.0-C charges have a force between them of 1.0 N. How far apart are they?xuf+2b7ea rh )

  The force between a -ouod w/q *k n-2 so,itc.uh,v$30 \; mC$ 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 ar:jjv 2lf cl(2cop antjr ,+0f0e moved to a new separation of 8.0 cm, what is the electri( ,a2jjl 20p noctc+l0f:fvr jc force between them?

  Three identical point charges of 2.0 mC are placed on the x-axis. The firjag vm**go :i--v4 ykost 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 force which acts on the charge at the g:jkovgy- am4 i*v-o *origin?

  Three point charges are placed on the x-axis. A charge of +2.0 mC is placed q+m iye( by8m3at the origin, -2.0( iq m3byeym8+ m C 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 l:5t*bvzj db, located at the following positions: Q1 = 2.00 mC at x = 1.00 m; Q2 = 3.00 mC at x = 0; Q3 = -5.00 mb djbtl, vz5:*C at x = -1.00 m. What is the magnitude of the force on the 3.00-mC charge?

  A point charge of +Q is placed at the center of a square, and i4l-sljm3, b da second point charge of -Q is placed at the upper-left corner. It3l- s4jdm,lb i 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 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 nC is a 579xyzt(rt:*d ;tolvp8(mnog 6n rdst (0, 0). What is tos(6o * xnn dy9pdtm(vr875t: tr;g zlhe magnitude of the net force on the 5.0 nC charge?

  Q1 = 6.0 nC is at (0.30 m, 0); Q )b ;npmfb0br(lmb t672 = -1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the76b (frbbmn0 t m;b)pl direction of the net force on the 5.0 nC charge?

  Three identical charges of 3.0 mC are placed at the vertices of an equilateral t;e9rmc1d q i7p jh7q1w*o qspx+o5fe 0nu:2 jhriangle which measures 30 cm on a si7m1enu*:o0wp7jq qe f;q+ h9 215i h sprjodxcde. What is the magnitude of the electrostatic force which acts on any one of the charges?

  Consider point charges oad 5:xij+e //s tnj1bbto.t;v f +Q and +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 electrostatic force acting on it would be ib t/dnjjta.1t+v5:b /se ox;zero?

  A +3.0-C charge is at the origin and a +9.0-C chd4htzui l, ab*t8w-*d;c/ ygg arge is at x = 4.0 m. Where on the x-axis can a third charge be placed so ;,agzg8*hulb-ywdc/itt4 d * the net force on it is zero?

  Charge +2q is placed at the origin and rt qn z55li p1fpj67t-e;dr q6charge -q is placed at x = 2a. Where can a third positive charge +q be placed so that t q-pr e16r7lj f;iq6dttzp5 5nhe force on it is zero?

  A copper penny has a mass of 3.0 g. A total out77uh9gb o5lf $4.0 \times 10^{12} \; electrons$ 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 atin6jyae-1 .xt 6dk ,bwtraction of a fixed proton so ebn6.d,xaij6yt1-w kme distance above it. How far above the electron is the proton?

  Two 0.20-g metal spheres are hung from a common point by nonconducting threads .2:.(sfwfdd:w jn(lvv/r rng- 1lvrlwhich are 30 cm long. Both are given identical charges, and the electrostatic repulsion forces l 2l1dnl :f/wjwsf.vv-rr( dgrv.:(nthem 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 magnitude of the electric er(az5t lyn),w98axk ke(4m sfield at a distana5(k8wse,z )tyam( e 49rlkxnce of 1.0 m from the nucleus?

  What are the magnitude and direction of thz(m)i v4n 2jbno 6l5 esc+ 9ub.lkzlt+e electric field at a distance of 1.50 m from a 50.0-nC chm 5 )2s4il+.b vuz6 (oejnlkb9ztc +nlarge?

  A 5.0-C charge is 10 m from a small test charge. myrcs/zm i+/s/5h6 wb What is the magnitude of the electric field at the location of t/i// bm5m s+6zwhy rcshe test charge?

  A 5.0-C charge is 10 m from a small test charge. What is the dirwf;s vi7neq5/ edw): ufgw4u++0h m jxection of the electric fi5nwiuejwg 4d)ex0+ws / 7mqv huf;f +:eld?

  A 5.0-C charge is 10 m from a small test charge. Wh3h o2zr ;ceio:at is the magnitude of the force experienced by a 1.0 nC charge placed at the location oo: z i2ho;re3cf the test charge?

  Two point charges each have a value of 3.0 C and are sepb;l mzzfuck.dxt5 ez a9,1f9w-pvgkk /:mx05 arated by a distance of 4.0 m. What is the electric field at a point midway between the c,l9b.w ap9kxxemfk1ukf5-/v5 zt gz z;md0 :two charges?

  A 5.0-mC charge is placed at the 0 cm mark of a meter stick and a -4.0 mC charg0b 1/:kgyo iofp/ dj1r f,2nwhe is placed at the 50 cm mark. What is the electric field at the 3,2jpfo / 01 kh:wfi1gdyrb no/0 cm mark?

  A 5.0-mC charge is placed at the 0 cm mark of a mes fq-2v7qiznn6h )*d cter stick and a -4.0 mC charge is placed at the 50 cm mark. At what point on a line jonhn7 q)dz2ic *vs -6fqining the two charges is the electric field zero?

  Two point charges of +3.0 mC and -7.0 mC are placedg-xd1t/pqzp2 h c.n 4y at x = 0 and x = 0.20 m. What is thqgp .1p-4n hx/t2 dczye magnitude of the electric field at the point midway between them?

  Three 3.0 mC charges are at the three corners of a s2d(z/ tgcn1f)i+1oy5 ktou )hbig2asquare of side 0.50 m. The last corner is occupied by a -3.0 mC charge. Find the electric field at the center f1c dis+2/abtt(ok) z)5yg2ihg1n u o of the square.

  Consider a square which is 1.0 m on a side. Charges are p .zab0tvj(7mw laced at the corners of the square as follows: +4.0 vj(0w 7zm.ab tmC 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 charge of 5.0 mC when it is placed in a8qw6 wrnch 9l )od1y/p uniform electric field. What is the magnitude of this eleq wld8p6) 1c9/ orynhwctric field?

  A particle with a charge of 4.0 mCcv(x )diokj: 4spuj*+ 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 0)y5*6t( fk pk qbd6e6ql o uuhs7wbo9electric field of 6000 N/C pointing downward. What charge must b o)6kyb(o7eqs*tklf6 069dub hw5 u qpe placed on the ball for it to be suspended?

  A foam ball of mass 0.150 g c1kwc8s0hex mt gz 8/z;arries a charge of -2.00 nC. The ball is placed inside a uniform elechs8tg1e0w; x/k m8zzc tric field, and 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 c5j lhx)g:dxw vif8+,a charge of +2.0 mC. What is the magnitude of the electric field 5.0 cm from the sphere's sur+5 l:v,8fg)x x djhciwface?

  A metal sphere of radius 2.0 cm carries a charge of 3.0 mC. What is the sspxr jw-06;x electricw0xx;-prj ss 6 field 6.0 cm from the center of the sphere?