State the law of conservation of e1gy ubpfh-2s+i(6(rsmy yi 3qlectric charge.

  Is it possible for two negative charges to attrgmxj6mox: cb4 ,re8,s act each other?

  Is it possible for a positive and a negative charge to asfg 4z,jr : tw0akor2+qdjngw vh878hx wf95)ttract each other?

  A glass rod is rubbed wi.qy:; zm d*nwwth a piece of silk. During the process the glass rod acquires a positive charge and the si nzdy.*m qww:;lk

  A proton carries a

  The model of the atom szrqcmvt+l6d6) yriw *j:vz5 , hows a

  A neutral atom always has 1rm2w-aunr+7zf6ppkp:o::ovu f5 : spb8 vow

  An atom has more elec2q9ji mmuhd m,.vx)d8trons than protons. The atom is

  Materials in which the electrons are bound very tightly to the nucl8a cv3lmlx6* vei are referr 6xvv lcm*l3a8ed to as

  Materials in which the electrons are bound very loosely to t:65wyznkj b 1ok sefj6b *u:,lhe nuclei and can move about freely within the material arek5zk b *olj,f:n ujby1:we 66s referred to as

  A negatively charged rod is brought nearwep2cnqp4 z;. 9p6au h one end of an uncharged metal bar. The end of the mp2e4 q ap ;.znw9chup6etal bar farthest from the charged rod will be charged

  Sphere A carries a net positive cn8 a/zt usphtel9 6+,pharge, and sphere B is neutral. They are placed near ea/pe8tp+u9 lasn z6,thch 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 charglnizyl. i8xlpd9 ztp7 7v9/tkq e.s7.e an electroscope positively?

  An originally neutral electroscopfe.8)bntq b n ndu(z;3e is briefly touched with a positively charged glass rod. The .z (bbfe qu)tn n;83ndelectroscope

  An originally neutral electroscope is grounded brief p-wyp*1lo)sr ly while a positively charged glass rod is held near it. After the glass rod is removed, *1 -spw)yrlpothe electroscope

  A positive object touches a neutral electroscope, and the lp2 k,)lrbyy0 g5k;rqx0bn ij ,eaves separate. Then a negative object is broug2n0y,kx5byg;prl j qki) r0,b ht near the electroscope, but does not touch it. What happens to the leaves?

  A large negatively charged object is placed on an insulated ta9 rb ha968ya7vpq n:qsble. 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 is8qaa 6:s nhyv7 9q9brp the final charge on each ball?

  Charge is

  What are the units of the Coulomb constan+1ftp9sf 0t dk 5li 4.bmg)amyt $k$, which appears in Coulomb's law?

  Two charged objects are separated by a distance djape+ vtxlcw *(w79 1t. The first charge is larger in magnitude than the second charge.tc j*wletw79 x+1(pa v

  Sphere A carries a net chary oib653 bf n*qr*flom9- zj,oge and sphere B is neutral. They are placed near each other on an insulated table. Which statement best describes the electrostatic force betwo6 *f-o5b*j9loimbyfrnq3 z,een them?

  Two charged objects attract each28is,zl2f ulh other with a certain force. If the charges on both objects are doubled with no change in separation, the force betwsl 2i zlfhu8,2een them

  Two charges are sepa i5.u pjc2v0/rqa(zc (zqm )k 8/tcmilrated by a distance d and exert mutual attractive forces of F on each other. If the charges are separated by a dist/m aqzmv.(8rj (c/qk2t0 c uii)5pczlance of d/3, what are the new mutual forces?

  Two charged objects attract each other with a force F. What.rsv0 h-bnxh ot2v+0/byku2jxk; xp + a4(bve happens to the force between them if one charge is double0bv+hyx4 (p s+0t /v 2xkov;bae-u bx2hkjn.rd, 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 to

  An electron and a proton are separated by a distance of 1.0 m. What +g- pi-nwsarn:0cj6 qhappens to the magq:-ajscnpr w+ n60 ig-nitude of the force on the proton if a second electron is placed next to the first electron?

  An electron and a proton are separated by a dista mz:w)f(jemr sqtm2*;nce of 1.0 m. What happens to the magnitude of the force on the first electron if a second:m j;f s )rmw2qz*e(mt electron is placed next to the proton?

  An electron and a proton are separated by aog(d *4pg0:fq mmsmr kw3m m** distance of 1.0 m. What happens to the size of the force on the proton if the electron is moved 0.50 m closer to the proton?04*kqrs gd*mm:mgo3p( mmwf*

  A point charge of +Q r23mgc6bxn// fdgrt-mw 7f u8 is placed at the center 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 center. Now, identical charges of -Q are placed at the other three cornermfgrmn /3u8 76fc xgb2d-/ twrs 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 triangle. uj. t7 8x2gqes 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 pl8su.g7e2 qj xtaced at one of the other vertices?

  Which of the following is not a vector?(nwmgho s92f5

  At twice the distance from a point ch g,ps*,zwwow8v7mk-m* ub ) tdarge, the strength of the electric field

  Is it possible to have a zero electric field value between a negative and po 61olmu wn6v(ga, 0:di.+swpxr vlh k*sitive charge along the li 0wwah1*:d vs.+nv6u6 l(mko gilprx,ne joining the two charges?

  Is it possible to have a zero ele: nyn(rnbl: i) ,f lhk7*;fzmjctric field value between two positive charges along the line*m bhkfrnfyn(:7n ),zjll : ;i joining the two charges?

  Electric field lines near psit (ducbgo o: 1cim7r2/vive point charges

  The electric field shown (iay02vpr3 h t1 drxz6

  Can electric field lines intersect in fre8d*xd p6moy.s e space?

  A solid block of metal inp wwdxu /,krm(t-l;6q+sky7h electrostatic equilibrium is placed in a uniform electric field. Give a statement conc pu;/rx(lw6hdmwky +s,qt k7 -erning the electric field in the block's interior.

  If a solid metal sphere and a f + u4savl 1g+.-kbxpahollow metal sphere of equal diameters are each given the same charge, the electric field 1p a+.ka u-gl +b4sxfv(E) midway between the center and the surface is

  A cubic block of aluminum rests on a wooden table bd:ug6rsh (d8 in a region where a uniform electric field is directed straight upward. What can be said concerning(u d: g6rsh8db the charge on the block's top surface?

  If a conductor is in el,j iwc2nkee*j y3 -*enectrostatic equilibrium near an electric charge

  A positive point charge is enclosed in a hollow metallic sphere that is grounb )03pdpskb)o ulca5) ded. As compared to the cp)db )blc )3s 5a0kpouase without the hollow sphere, the electric field at a point directly above the hollow sphere has

State three properties of conductors in stl,xaji:-: i8 rp ypi,yatic equilibrium.

State Gauss's law.

  The charge carried by one electrozd- j vwz6um,l*7nsk -+u9eec 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. lstepfwztt5/(3u2 v, How many more protons than electrons d,2f e(ptl 5 t3z/uwtvsoes this piece of plastic have?

  What is the charge on 1 kg of prot3d ffllik8v); /3lm2my7k kkhons?

  An atomic nucleus has a charg:3a +:/ ;jwm dwr w 3p+ub-.pzehvksw 0kq6meye 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 qz.u;wf:z g:jmC, respectively. What is the magnitude of the electric force bet :.:f ;uwjqzgzween them?

  A 1.0-C charge is 15 m from a second charge, and the force between them is 1.0 cyzmz)qc*89wb 8 qzhr 6s3o, bN. What is the magni s 9zm6 oh rbwq*83,zy)ccqz8btude of the second charge?

  Two 1.0-C charges have (.anazp4dk;ut:r (ql a force between them of 1.0 N. How far apart are they?

  The force between a l 50wyfd/y) nm2-m3r)kbosa5a 0pyja$30 \; mC$ 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 8sn(5+q 0kals 8g*bbtp koc/qare moved to a pq s0o 8b+ (*ta8qsknl5g /ckbnew 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-axis. Tg6)3n8e;9oi wtcrd shk3)f3 u gwof 3rhe first charge is at the origin, the second to the right at x = 50 cm, and the third is at the 100 cm markhdkgsnce3t6iu r938 ) worf;3)ow 3gf. What 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. e /8b4;rnpuio 1 ;d5twip2c3r+ab dy l 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 c pw obd1;tl/+ 5eaidyu4bipcr r;3 82nm 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 followingd, itorp1he+: 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. Whatpde1r :hoi+, t is the magnitude of the force on the 3.00-mC charge?

  A point charge of +Q is placed araxv gkj9;1n dz -g6e0(kcmn0t 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 charjze6;dmv 1-nag 0ng(rx k90k cge 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 i z3.x*y2p))e-jvjcrqed z6s nC is at (0, 0). What is the magnitude of the net force on the 5.0 nC chari.cy se6)dqjj-)zezx2*3 v prge?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 = -1.0 nC is a fdn/ / +nojfihq3o0u8oh*dbzazj3 7 /xdbt06t (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the direction of the net force on the 5.0 nff z7j zh0*86ddo3 d/o j +xbi/3nuaq/0h ntboC charge?

  Three identical charges of 3.0 mC are placed at the vertices of an e.6eth:nn6gli 2f krm0quilateral triangle which measures 30 cm on a side. What is the magnitude of the electrostatic force which acts on any oikf:.hgn 2t6mel rn60 ne of the charges?

  Consider point charges of +Q and +4Q, whii/ :bb chil6.,k6yjxich 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 electr,kxbiilij /chb6 :.6y ostatic force acting on it would be zero?

  A +3.0-C charge is at the origin and a +9.0-C charge is atkhp.e;)pxk e oe 8qr1c+)x,3 :bznbkilg f5p) x = 4.0 m. Where on the x-axis can a third ch:epx x)r;,)e5pb.ck1 h+fkn) elogq3bi z 8pkarge be placed so the net force on it is zero?

  Charge +2q is placed at the origin and chasa,0e7 bh)t/tw v5rf 9gwzt k5rge -q is placed at x = 2a. Where can a third positivefgw ,kt5b 0/sv)7 z9a5ethwrt charge +q be placed so that the force on it is zero?

  A copper penny has a mass of 3.0 g.4j/xu 1hih l ;ykr+nc/ 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 attraction h9f59nh7s humm d0 ic 7kx(d1mof a fixed proton some distance above it. How far above the electron id h1d5sinh xfh9 79k (7c0mmums the proton?

  Two 0.20-g metal spheres are hung from a common point by noncon -3w16o+gf+7z*ku (uavyvfpf8wj xuj ducting threads which are 30 cm long. Both are given identical charges, and the electr8v7+pu j3faf- z6v*jowwuuyx+(g f k1ostatic 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 magnitude of the electric fp uj15upq3 .zfield at a distance of 1.0 m from the nucp qfu5pz.1 uj3leus?

  What are the magnitude and direction ud2ya69;y zbyz(w0 sq of the electric field at a distance of 1.50 m fromyz2d( 6yqsb9way zu0 ; a 50.0-nC charge?

  A 5.0-C charge is 10 m from a small test charge. What is the magnit fr )y80a( 22hfyns: zvkjaw iv:5x5opude of the electric field at the location of t8azf :jsyvpa:i 5y(r50w h2vxf) n2 kohe test charge?

  A 5.0-C charge is 10 m from a small test charge. What is the dire/g od jp,bx0 r evwtl*uc02d.7ction of the elet ,dxop.begwdljv0 07 u*2/r cctric field?

  A 5.0-C charge is 10 m from - ffrl*d nmu t29m,k9va small test charge. What is the magnitude of the force experienced by a 1.0 nC charge placed at the location o- umv9dmf*kn92t, frlf the test charge?

  Two point charges each have a value of 3.0 C and are sv 1 no iw;dw*1r7zlsmum5h 3x-eparated by a distance of 4.0 m. What is the electric field at a point mi; r3-z7vim1dwn x hw1* uos5lmdway between the two charges?

  A 5.0-mC charge is placed at the 0 cm mark of a meter ssj umu7j( 2o2sfyr7 6mtick and a -4.0 mC charge is placed at the 50 cm mark. What is the electric field at the 302ous76 j(s7mjruy f 2m cm mark?

  A 5.0-mC charge is placed at the 0 cm mark of f3/+odv9* *pc.e+ t n u/icxtw8exboha meter stick and a -4.0 mC charge is placed cp n+xot*v c+bxdu9.i / he3w/ot*fe8at 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 = 0 and x = 33 cxchtf+i*z((d*te ,m hiud 0.20 m. What is the magnitude of the electricd,m3*(exc tdh*z+f (uhic3t i field at the point midway between them?

  Three 3.0 mC charges are at cza x bidk6t l;bds,;u1vb8 ;l2fj b,9the three corners of a square of side 0.50 m. The last corner ib u9 ,a;1ldsb x; ljfbcib2z,6;8kdvts 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 w*3. ul9ssea+x .wcme+4pkuq8sy+ud on a side. Charges are placed 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 magnitude of the elel we+xu*wy.8.9 3 4e ducaqus +k+spsmctric field at the square's center?

  A force of 10 N acts on a charge ofi8u.bn lf2:gz 5.0 mC when it is placed in a uniform electric field. What is the magnitude of this u8lzg b:fn.i2electric field?

  A particle with a charge of kg6/uyxz/ h7h: i 8pq:hfjm :bvdy,;d 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 ma+8c7bfih)nf bzg1,m bss 0.120 g is placed in an electric field of 6000 N/C pointing downward. What c +h8f,bz m1bg)nfc 7biharge must be placed on the ball for it to be suspended?

  A foam ball of mass 0.150 g carries a chk*4e ;4h qy;++hyb.beydn pqtarge of -2.00 nC. The ball is placed insk4n+bb qyqp d+e.yt y;4h; *ehide a uniform electric 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 a c/pz-jl gv,mf de j8x(2harge of +2.0 mC. What is the magnitud/v l( ,e-jjp8zf dxg2me of the electric field 5.0 cm from the sphere's surface?

  A metal sphere of radius 3gs4d ryx v0*v2.0 cm carries a charge of 3.0 mC. What is the electric field 6.0 cm from the center of the sphe g* x3vrds0y4vre?