State the law of conser;q* ibi2n0vff,4) yk k4jhiwu vation of electric charge.

  Is it possible for two negati:) ee 1iw 2ejal ya6z(ax;oa,yve charges to attract each other?

  Is it possible for a positive and a negative charge to attract ea 1s4qfanv(w2p ch other?

  A glass rod is rubbed with a piece of silk. During th4a7; )uob v umyl,:teoe process the glass rod acmu7l ;y o,euoa b:4t)vquires a positive charge and the silk

  A proton carries a

  The model of the atom shows awrm 9erglj. c ety;vo- gp347)

  A neutral atom alwayc6.swe)7n;u2 )vmpgx pzy0ux s has

  An atom has more electrons than .pa bo7eiz5 4s7f sd.bprotons. The atom is

  Materials in which the electrons are bound ve;o 4hwg0o4nrj6( qkvm p b8+wyry tightly to the nuclei are referrkh0w8y nm4q+b(o4 orw6;pvj ged to as

  Materials in which the electrons are bound very loo0.ge64 c*h gyovpf+d esely to the nuclei and can move about freely within the material argd4e e h*.+cg v6yof0pe referred to as

  A negatively charged ;/l qc dwzg* ;y0tv9jx.wy k*drod is brought near one end of an uncharged metal bar. The end of the metal bar farthest from the chargy/0 * v;.wcwxl k*q9d;gjzt yded rod will be charged

  Sphere A carries a net positive charge, and sphere B is neutral4 47ntr0, 5ovwki rebt. They are placed near each other on an insulated table. Sphere B is briefly touched w ke,4t057tb4o vir rnwith a wire that is grounded. Which statement is correct?

  How can a negatively charged rod charge an eld3hz-f dnv, 7n 7c-4hy2htb 3*/lse l *ltyvwsectroscope positively?

  An originally neutral electroscope is briefly touched with a positivel n r sfr4,mv.z/8mj .-hx(cnxly charged glr4sh x/. nr vxfz8mm-n.(c,jlass rod. The electroscope

  An originally neutral electroscope is gzk e-h pu;ft9.rounded briefly while a positively charged glash- e;f ktz.pu9s rod is held near it. After the glass rod is removed, the electroscope

  A positive object touches a neutral electroscope, and the leaves separate. T)-6ynhea6qe c hen a negaq6a6 ne)y-chetive object is brought near the electroscope, but does not touch it. What happens to the leaves?

  A large negatively charged object is placed o juttr)aik-aj9 f;1e3e d o(xgi y*k*7lbk2e;n 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 time d2y1g l da 7etj**3k(;)utbr-; oe9fiikaxjek oes either ball touch the negative object. What is the final charge on each ball?

  Charge is

  What are the units of the r h15-pdb kpjh)eqv, ,Coulomb constant $k$, which appears in Coulomb's law?

  Two charged objects are sepa( c--cqh:hhn :ndbu)hcn o/*h rated by a distance d. The first charge is larger inhc(- )cbh*cqhu :/h n o-:hndn magnitude than the second charge.

  Sphere A carries a net ch)6l) o/b 7dpl lfya*niarge and sphere B is neutral. They are placed near each other on an insulated tab*l ynl6i)7)olbfdpa /le. Which statement best describes the electrostatic force between them?

  Two charged objects attract e5je f;xns9rg: ach other with a certain force. If the charges on both objects are doubled with no change in separation, the force betr:9;xj5fs g enween them

  Two charges are separated by a distance d and exert mutual attractiveywf i0tnfor ) vt- nf+889h*aj forces of F on each other. If the charges avtj*n-)ffa9 nrw0+8yit f o 8hre separated by a distance of d/3, what are the new mutual forces?

  Two charged objects attract each other with a force F. What happens toq4iqzpk/e i t(xvo54p; 0 j.sojd /g7r the force between them if one charge is doubled, the other charge is tripled, and the separation distance between their centersox4ev(/ qqk5z4;d o/0rjji7gst . ppi 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 vq59rd4fb 8 ahhappens to the magnitude ofv8db 9h farq54 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 distance of 1.0 m. ;7 e7pmdr,h 2 frylny.0sy8 gu5lzt 1lWhat happens to the magnitude of the force on the first electron if a second p0 lsy1r z8tlrnl27f5,hyuy .eg 7d;melectron is placed next to the proton?

  An electron and a pry hpaf3l3 -x1t,yf5(cd gzf y,oton are separated by a distance of 1.0 m. What happens to the size of the force oy ,3c1a,5 dlf -yf fghtx(z3ypn 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. When a second point17r l; vy+a:rcojc, kfrv56h c charge of -Q is placed at one of the square's corners, it is observed tha,c 5r:k6 vj+;7 yr1vac rhoclft 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 trianglexvtq0 1;at08rcsqbpu8 a l;.pus1 v4m. 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 ofpp.4q x1 a8c 0;u80us s v1ar;tvbqtlm the other vertices?

  Which of the following is n dklfi 48ikwtu(,q *d7ot a vector?

  At twice the distance from a point charge, the strength of the electrivhyv z )) (d exwg+x 9e/9q2z9tmin9fic field

  Is it possible to have a zero electric f8-hpyxh+y8wto m)qwzm f(85y ield value between a negative and positive charge along thf ) z-8myh(w5wh8yp8 yoqm+txe line joining the two charges?

  Is it possible to have a zero electric field value between . d rqlt-(sp,5youq)ptwo positive charges along the line joining the two charg,)lpr( t.sp-yd qu qo5es?

  Electric field lines near psitive poilgn2*axzo5 n6 nt charges

  The electric field s68lzg 6 l8 h.jxz-mchyhown

  Can electric field lines intersect in 1mpy /3r; uxa.mq vpl(e iv ni(5;my1sfree space?

  A solid block of metal in eleci gi3orp0c8b //smfl9trostatic equilibrium is placed in a uniform electric field. Give a statement concerning the electric fielic3/8 plbi osr/g0m9 fd in the block's interior.

  If a solid metal sphere and a hollow metal sphere of equal diameters are each dxxfjwh-o:7x k;k-;rk8 q(eg/qiq)zco6*j igiven the same charge, the electric field (E) midway between the center and the surface ixeo kqz;6hkqfk (xr i 7-i8qdj)xjo;:*wc/ g- s

  A cubic block of aluminum rests on a wooden table isg6w iv,d+zo5d7dzt/ n a region where a uniform electric field is directed straight upward. What can be said concerning the charwt5dz 7 gdioz+/ v6s,dge on the block's top surface?

  If a conductor is in electrostatic equilibrium near az0szsi+bc z q -kl/88in electric charge

  A positive point charge is enclosed in a hollow met4 k w4/hu-ugoyallic sphere that is grounded. As compared to the case without the hollow sphere, the electric field at a pwu-uy kh 4g4o/oint directly above the hollow sphere has

State three properties of conductors in statz0lyd( )map8 hic equilibrium.

State Gauss's law.

  The charge carried by one ele 7v4r9z0;uw0u abkru jctron 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 3o *wdl;yoniov/i7xemy:), tmC. How many more protons than electrons does this piece of plastic havdy,i *;)o l we:mtoy3i/vn7oxe?

  What is the charge on h6kfr* s mex()1 kg of protons?

  An atomic nucleus has a c50d zysr9 u/hnharge 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 c 7gimzk /.v7z qclot d7/s,2dhm, have charge values of 2.0 and -4.0 mC, respectively. What is thetmq,dk ol/i77c hv /s.zg2 zd7 magnitude of the electric force between them?

  A 1.0-C charge is 15 m from a second chargn yvuq e)65x2- txaadcl;yi/ 8e, and the force between them is 1.0 N. What is the magnitudnx u ;82a / 6l-d5xyq)evciyate of the second charge?

  Two 1.0-C charges have a force b oh*6ofsgx* 5yetween them of 1.0 N. How far apart are they?

  The force between a y , 6 q+mhsnnxfw11n 1i5y5 y*w*67dvdif dols$30 \; mC$ charge and a $-90 \; mC$ charge is 1.8 N. How far apart are they?

  Two point charges, initially -,b)pqy) xe7u hkht0bq:x7.ixn 9e er2.0 cm apart, experience a 1.0-N force. If they are moved to a new see9kt h)hnu,x7 x-yb er pq7x)q i0eb.:paration 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. The fzi2 wbwmxn 2spfoy) h*bq482(irst charge is at the origin, the second to the right at x = 50 cm, and thy pxs2nwo 22wbhb8zmq) 4i*f (e 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 on the x-axis. A charge o.w/zq, (c60rblatg4tf/ o b tqf +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 cm mark. What are the magnitude and direction of the electrostatic force which acts on the charge at the oritca t6ltw0q, bgo/ 4rbzfq/. (gin?

  Three point charges are located at the following positions: Q1 = 2.u zi/(lr fq3w7 2loyn600 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 f/3qow6y7il ln zr u2(on the 3.00-mC charge?

  A point charge of +Q is placed at x6pk/hi8m 9d tthe 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 charge at the center. What is the mak 8pxi/mdt69h gnitude 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 a0+cb22 wjt3pv*drg ( x ui-qput (0, 0). What is the magnitude of the net force on the 5.0 nwt qbc u2dvx( r3gi-+ pjpu20*C charge?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 =7lz5ad.1gun py5 f2en -1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the direction of the net forcegad f.y57epu n 5z2l1n on the 5.0 nC charge?

  Three identical charges of 3.0 mC are placed at s d0ruym;8m9 ltgkg1wa12 8ig the vertices of an equilateral triangle which measures 30 cm ogkmrls12t dw;yg 8aui90 m18g n 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, which are separated by 3.0 m. rk53hi5e/x ypvpt 8 o6 At what point,p 58x6hvykpor t 3/ie5 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 zero?

  A +3.0-C charge is at the origin and aem v9*mh6r+ f9 yl-q6j0xcsu q +9.0-C charge is at x = 4.0 m. Where on the x-axis can a third charge be placed m90r*cj x6q-+9syeml6v hufqso the net force on it is zero?

  Charge +2q is placed at the origin and charge -q is placed at x = 2a. W1)*z efyjfp dq8mf8/5r qx/l yhere can a third positive charge +q be pl1 m*zy58)eqq dpxfj y/8r/fflaced so that the force on it is zero?

  A copper penny has a mass ofyy ryu -:6ns92zybuyv 9;1 l, mp0,swlb hzf9x 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 the force of gravity byzz v0 zlii49lc2/zvn) the attraction of a fixed proton some distance above it. How far above the electron is t l0nv4 zl c)zz/ii29vzhe proton?

  Two 0.20-g metal spheres are hung from a ibm rnd2 ub/7gm88rv.k0ycq2 common point by nonconducting threads which are 30 cm long. Bo gr88kuv2 2/b0rdmbic q.7ynmth 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 tcinb u/t49+nzhe magnitude of the electric field at a dist+uc i94/znnt bance of 1.0 m from the nucleus?

  What are the magnitude aneqe4*xds4-s o 4eoq1ud direction of the electric field at a distance of 1.50 m from a 50.0-nCxooq44s e*s-d 4e1qu e charge?

  A 5.0-C charge is 10 m from a small test charge. W+)ueiqbyzea80yv3q /kgi5z( df. ,yahat is the magnitude of the electric field at the location of the te5v(agdfuqz,)zey/.ik y ayi8eb 3 q+0st charge?

  A 5.0-C charge is 10 m from a smp j+ggsiz3662gawdk 5.a rv+ip1* ucf all test charge. What is the direction of the electric fiel3 pgfsvd j5wu 1+*6z ap.ia+2 ig6krcgd?

  A 5.0-C charge is 10 m from a small tz,:6 lx1 nkn f-*kcha1 7whr1swprt .4s1wcqwest charge. What is the magnitude of the force experienced by a 1.0 nC charge placed at the location of 7kcfsq1 a ,6lt1xsrhw1np4*wc hwzk1wn :r. -the test charge?

  Two point charges each have a value of 3.0 C and are sep)3a ks0nc2 ieparated by a distance of 4.0 m. What ic02p neia)s3 ks the electric field at a point midway between the two charges?

  A 5.0-mC charge is placed at the 0 cm mark of a meter ja9 0gfm6rl p+stick and a -4.0 mC charge is place+ 0g apr96lmjfd at the 50 cm mark. What is the electric field at the 30 cm mark?

  A 5.0-mC charge is placed atzpwl :ghuq,e 53.t)v d the 0 cm mark of a meter stick and a -4.0 mC charge is placed:wze.lu )q 3,hp v5dtg 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 v7e iqv q-34vtare placed at x = 0 and x = 0.20 m. What is the magnitude of thei 4tv3-eqvq7v electric field at the point midway between them?

  Three 3.0 mC charges are at the three corners of a squarbqx (e 8j-.om. d/zknbe of side 0.50 m. The last nb.z.( jombdekq/-8xcorner 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 5gc3bxd9 tk:8r . wrkxa side. Charges are placed at the corners of the square as follows: +4.0 mC at (0, 0); +4.0 mC at8r 9x.xg5r3d wb tkkc: (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 ch rldvs ( 7 3a*hyq.uin)-u5dqqarge of 5.0 mC when it is placed in a uniform electric finyq irs-d v7*)hqd3.ul a5(uqeld. What is the magnitude of this electric field?

  A particle with a charge of 4.0drbh c/ ew0cu-p120 br 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 mass 0.120 g is placed in an elect c 4na ee7v)su2k*4nperic field of 6000 N/C pointing downward. What charge must be su* v) 4enn7c ee4akp2placed on the ball for it to be suspended?

  A foam ball of mass 0.150 g carries a charge of -2.00 nC. The bbuccv/us 2 xz(k 4rvn5ym5 i2.all is placed inside a uniform electric field, and is suspended against the force of gravity. What are the magnitude2m /uzv(cnby5vi2 5.x cs4uk r and direction of the electric field?

  A metal sphere of radius 10 cm carries a chargrc+n; ,jlzcj 5e of +2.0 mC. What is the magnitude of the electric field 5.0 cm from the sphere's 5cnj,+; cz rjlsurface?

  A metal sphere of radius 2.0 cm cars 75 ,*l h1.tkvq(qekmj er7ljries a charge of 3.0 mC. What is the electric field k51*shvjmrl ele.qq j77 tk( ,6.0 cm from the center of the sphere?