State the law of conservat)qwu,cmdf70a x - .dxbion of electric charge.

  Is it possible for two negaxkmnsc.w2o oyrxb+p3 -kw/ 42bag+ts7ga . +ztive charges to attract each other?

  Is it possible for a positive and a negaki5yg*a/ z9vp, llc u*tive charge to attract each other?

  A glass rod is rubbed with a piece of silk. During the process the glass rod acz.t2 c3h ncupymvn-/tle3:) v quires a positive charge .zl:3vn) ytcpu tn/23m-cve hand the silk

  A proton carries a

  The model of the atom showcqwjljzc7.-*cz 8qag;tl2tq( r 0. sis a

  A neutral atom always hamo6om;is )p2 yj+ fs1us

  An atom has more electro -fow:tn-e)c-i cso; okr,d1 gns than protons. The atom is

  Materials in which the electrons are bound very tightly to th4ts80l sc on irsd .o:z4*1wvye nuclei are referr18sow 4nosv.lsrc: y i t40z*ded to as

  Materials in which the electrons are bouubh7lpw k44p ,nd very loosely to the nuclei and can move about freely within thw74p hlu b,4pke material are referred to as

  A negatively charged rod is b y0*g1hohu 0,4/1 l tcxfs4cumpov3 nqrought near one end of an uncharged metal bar. The end of the metal bar farthest from the charged rod will be l4 1ym34po010 hvcxfgn/cqtuuo, s h*charged

  Sphere A carries a net positive charge, and sphere B is neutral. They ar4jtmm7j.6k50u yus qne placed near each 046 7jmsm.nt k yq5juuother 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 charge b es)3 bv3pasa5 2h d;x-h+rrian electroscope positively?

  An originally neutral electroscope is briefly touchedt2oq1..nz3x ipp x 1kqq+ kh/h with a positively charged glass rod. Tk1inpo2 1h tqx/+h 3qxqzk..phe electroscope

  An originally neutral electroscope is grounded br1mr fb l.*5diviefly while a positively charged glass rod is held near it. After the glass rod is remomvl5rd*b 1.if ved, the electroscope

  A positive object touches *no nih d4/; +msfg:kma neutral electroscope, and the leaves separate. Then a negative objec:ihof*+ ;4n/ mmgnskd t is brought near the electroscope, but does not touch it. What happens to the leaves?

  A large negatively chgl(o0z /2a 7kwda ()ga vrekxnwtw4.6arged object is placed on an insulated table. A neutral metallic ball rolls straight toward the object, but stops before it touches it. A s2(ngowv)kakx ( r07 az4 gewaw.l 6td/econd 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?

  Charge is

  What are the units of the Coulo:r hhdvkvvz- cc19 7/kmb constant $k$, which appears in Coulomb's law?

  Two charged objects are separated by a distance d. The first charge is lar+wu)3 vk-k 0z*je* ickrxk ;jsger in magnitude than the se zsj)vkc j0*; kkxei3w* rk+u-cond charge.

  Sphere A carries a net charge and sphere B is neutral. togg 8:.do m0pnma gi,hu+8*(- exlua They are placed near each other on an insulated tab8ha *oe:m-md , igt0apggn+( lx uuo8.le. Which statement best describes the electrostatic force between them?

  Two charged objects attract each other :p ;g ()b7c6an wpnxxq1t9aqmwith a certain force. If the charges on both obwpg9c(;mp qxnq:61b x 7a)ant jects are doubled with no change in separation, the force between them

  Two charges are separated by a dist2 4o .r/og,t pakbjty6ance d and exert mutual attractive forces of F on each other. If the charges are separat4jayot6p,r/ok tg 2b.ed by a distance of d/3, what are the new mutual forces?

  Two charged objects attracq/*.hjg 5 v3wkl6se/xen hzz4t 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 dglhs n /eh3/qv x.654zj w*zkeistance 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 rik4me2ss 8h9. What happens to the magnis 8h2 mes49riktude 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 od2q rf -t;kn : 78*gvnel0uhea distance of 1.0 m. What happens to the magnitude of t u082rf7vgen*nk-: lt;qe odhhe force on the first electron if a second electron is placed next to the proton?

  An electron and a prd9w .*r t)bpjvoton are separated by a 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 pr).pw*d 9 trbvjoton?

  A point charge of +Q is placed at the -t.abt*y+on/ dm b0b:utu jz2center of a square. When a second point charge of -Q is placed at one of the squarj2a./*d0tt bt :u z-b+mynobue'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 a26( b mz0ojm eotkf:kx e1n()dn equilateral triangle. When a second charge of +Q is placed at one of the triangle's vertices, an electrostfmkk2 dnezj( ( x)1ob06em to:atic 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 ;(f5sosvnbk )is not a vector?

  At twice the distance from a point charge, the strength ol(5ld-e. xwc af the electric field

  Is it possible to have a:jc8le gid9-7g:e;- x;hbtvpvb r*tl zero electric field value between a negative and positive charge along the line joi;xe7gdvb-:egj8httc * ;:bv 9i rp-llning the two charges?

  Is it possible to have a zero electric field peani+g2x 2mqxz 0i )+2kiu3uvalue between two positive charges along the 3nu02 2ikapx x)+qiim 2u+egz line joining the two charges?

  Electric field lines near psitive pmk/ 26 kl4xtfnoint charges

  The electric field shown g4e) jbri5cl4 yc)f o0

  Can electric field lines intersect in free (dw (+yk0q6vkfcw )atspace?

  A solid block of metal in e2rudr/hj oour0d :in;2ic e5e2b 1gs-lectrostatic equilibrium is placed in a uniform electric fiel1rgdj2:r/o2i5ohd n; re c2eui-b 0usd. Give a statement concerning the electric field in the block's interior.

  If a solid metal sphere and a ho (nbxn3.vuggip.yvp:b; 5 c5bllow metal sphere of equal diameters are each given the same charge, the electric field (E5yn vbgvn5x.:ig;p bc pub.( 3) midway between the center and the surface is

  A cubic block of aluminum rests on a wooden table idd.-o-vl5q.dr8 fyc dn a region where a uniform electric field is dir.qd 5o-dd. dyfcl8v -rected straight upward. What can be said concerning the charge on the block's top surface?

  If a conductor is in electrostatic equilibriumkakfq lp1p/,c/ vw 8/s near an electric charge

  A positive point charge is enclosed in a hollow ly cpm sf+f d1al(y(eyw1+6b) metallic sphere that is grounded. As compared to the case without the hollow sphere, the electric field at a p6 e+fay f1m(+sy )(b1dylcp lwoint directly above the hollow sphere has

State three properties of conductors in static equilibri , cwdrx;j:qxnzcsm ;1:i +m*lum.

State Gauss's law.

  The charge carried by one elect zw+y b;dcn-gb:p/o )zron 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 hyub ):8 m sj.,c w5rmom7nc)z:ithh1mas a net charge of +2.00 mC. How many more protons than electrons does this z5wych1h nbumt),.j ic87:orsmm: ) mpiece of plastic have?

  What is the charge on 1 kg of prota5rm.j7p0wds 1sn dz 1ons?

  An atomic nucleus has a ka,/1:re e:+ b,aye(gkr)tjxbt ; ltgcharge 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 char fa)rv ,ruw +*0r9jdruge values of 2.0 and -4.0 mC, respectively. What is the magnitude of the electru)u*r9vr+0w, r fad jric force between them?

  A 1.0-C charge is 15 m fromn(b caxj .m:7s a second charge, and the force between them is 1.0 N.( 7sj.a:cm bxn What is the magnitude of the second charge?

  Two 1.0-C charges have a force beq mr-tnfjban*p v 8 3p-(2*zwttween them of 1.0 N. How far apart are they?

  The force between a , lca. yk:/nfk$30 \; mC$ charge and a $-90 \; mC$ charge is 1.8 N. How far apart are they?

  Two point charges, initia6e) nvx 0k0dvally 2.0 cm apart, experience a 1.0-N force. If they are moved to a new separativ 0xnk ve)0da6on 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. Then 7znjdr(x0f2a3d+n v first charge is at the origin, the second to the right at x = 50 cm, a+r 3 7nd(vdf j2zxnn0and 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 origin?

  Three point charges are placed )xll9vjw 1hm.q wg jn og-ps9;n9)h*qon the x-axis. A charge of +2.0 mC is placed at the origi9-q*1m hw)qhjg9x9 j gwlv.)sn;n lpo n, -2.0 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 located at the following po+whdm/fz rue,3ker. ;a;to* ssitions: Q1 = 2.00 mC at x = 1.00 m; Q2 = 3kzt.,sh/dw*aur m ;e3;r o+ef.00 mC at x = 0; Q3 = -5.00 mC 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 cend,-4 sm2mmp deter 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 actpm2m,4e- m ddss 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 ( anm9ds3m0gh +)kfd*kr ,d* qd0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the magnitude90m * +k,)kqdndd sadgh3*mfr of the net force on the 5.0 nC charge?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 = -1.0 nC isg kqgu5g -;d(d at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the d g5u(-q; dkdggirection of the net force on the 5.0 nC charge?

  Three identical charges of 3.0 mC are placed at thk(mxqw)yme t301wb 4 wms(nz(e vertices of an equilateral triangle which measures 30 cm on a (x(m3n14)w tmm(byew swz 0qk side. What is the magnitude of the electrostatic force which acts on any one of the charges?

  Consider point charges of +Q and +4Q, which are separated by 3.0 m. 0u:q9c yz2ael At what point, on a line between the twqzc20 : ey9ulao 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 pt el/ 0q+3the 9)b7q8qhxfx fthe origin and a +9.0-C charge is at x = 4.0 m. Where on the x-axis can a third charge be plh ef7qxx+tpq0 f8/be) h39ltqaced so the net force on it is zero?

  Charge +2q is placed at the origin and charge -q is placed at x = 2a. Where 2tt6syd3 8fslhc+q+xcan a third positive charge +q be placed so that the force on it 6ttcq fxdy 3s2h+ +8slis zero?

  A copper penny has a mass oy bk oc;*w86jzf 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 ulpl3.lgz g j)ugl24x/ p against the force of gravity by the attraction of a fixed proton some distance above it. How far abovlgl 4jgz2ll3 .ux pg)/e the electron is the proton?

  Two 0.20-g metal spheres are hung from a common point by noncom.t7;sm 4u2fpcr ks p8nducting threads which are 30 cm long. Both are given identical charges, and the electrostatic repulsion forces them apar8mk . ss;mur24f7ppc tt 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 -1ge rro(o8mnfield at a distance of 1.0 m f1ro(g8-ren om rom the nucleus?

  What are the magnitude and di:dp;l xyspynm( x*u 1. ye 8hzx/gci56rection of the electric field at a distance of 1.50 m from a 50.0-nC chai/:s ; cyx 6mxe* dupzy8pxgy5 1.h(lnrge?

  A 5.0-C charge is 10 m from a small test charge. What is thxejx t0j5gp n*0,3l pne magnitude of the electricl pg3*00jnt ,ejxx 5np field at the location of the test charge?

  A 5.0-C charge is 10 m from a small test charge. What is thekp qa5nxa73k p wydk90*yr3 1p direction of the electrip wyd71 anp0x 33krqk*y5p a9kc field?

  A 5.0-C charge is 10 m from 151k6kmpoofb:nr1 kpa-oir x--ad/j a small test charge. What is the magnitude of the force experienced by a 1.0 nC charge placed at the location of the test chargaar1f op-bn r1 x-1kmkpkj/6: do-i5oe?

  Two point charges eachqfk:)iv ib lvi968l6 /wk qaq( have a value of 3.0 C and are separated by a distance of 4.0 m. What is the electric () / aqqk ivilqfbv:6w86lk9i field at a point midway between the two charges?

  A 5.0-mC charge is placed at the 0 cm mark of a meter sti xzzkwyr9. m/8 -24xonf wcox*ck and a -4.0 mC charge is placed at the 50 cm mark. What is the electric field at the 3*4 of.28 xxnw ck/9 -moyzxzwr0 cm mark?

  A 5.0-mC charge is place7p-ri b4ix5htvu, i3 zd at the 0 cm mark of a meter stick and a -4.0 mC charge4it-,7bxivru i h3zp5 is 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 = 0n,ff2a: 1:c m.t me2q5jh)khknvt 8zy and x = 0.20 m. What is the magnitud2 kq1 ,h)kanjfc. :hmmf8n2y:etzvt 5 e of the electric field at the point midway between them?

  Three 3.0 mC charges are at the three cornerkh o- ys zm.:+ngy1-xrs of a square of side 0.50 m. The last corner is occupied by a -3- rg1o+hxy:nz-ks my ..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 placed at thh5 qihz ma0l /6jbpc83e 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 elect0pqiblchh / 6z3j 5a8mric 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 exml(rr0pi7 q3 lectric field. What is the magnitude of this rq7(ix3 ml0pr electric field?

  A particle with a charge of 4.0 mC has a maspew79s yqbc l8gxj5e ;nej2hd8 81un 2s 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 e ngvf,vx9.- af :ster7lectric field of 6000 N/C pointing downward. What v9 fax.,e gr sft7vn:-charge must be placed on the ball for it to be suspended?

  A foam ball of mass 0.150 g c 8.7k;fhdh ;.zahfiwmarries a charge of -2.00 nC. The ball is placed inside a uniform electric field, and i zfihawhd;h.m; 7 k.8fs 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 charge of +2ge+z/8eomokph hla0-gu5 p.ue9* /dw.0 mC. What is the magnitude of the electric field 5.0 cm from the sphere's surfakp/ggh ud -aemzoplw8+*he. o/ 9 e50uce?

  A metal sphere of radius 2.0 cm carries acp2a5hlp d6+m/rdmfxy;vo ,-e mgl.o 6f7 hx 3 charge of 3.0 mC. What is the electri ycdd aom, h/eop +6g-7hplmm2xx 6vf .r53;lfc field 6.0 cm from the center of the sphere?