State the law of conservatz(.t zvgj6dc5 ion of electric charge.

  Is it possible for two negative chak0 0p ,;u akd+frmitd0rges to attract each other?

  Is it possible for a positive and a negative charge to attract each othertu e+3k89cbn dar; m+u?

  A glass rod is rubbed with g8lup+edz8.k 0f.jb*5zgby 7 rd/pyf a piece of silk. During the process the glass rod acquires a positive charge anezf ddyrg/ppzb7u85.y j8fb 0l . kg+*d the silk

  A proton carries a

  The model of the atoluo 6 *hnk:3jkm shows a

  A neutral atom always3bgw7l4txkc6 has

  An atom has more electrons than +;ibdlerj;b 7protons. The atom is

  Materials in which the electrons 87t igc1 olt -prrh+1u y8fu0yare bound very tightly to the nuclei are referred to asyiyt 7pr8 ugo+8ht ru 01f-cl1

  Materials in which the ell, zu .,6wl,dt6xio5 oszo o2xectrons are bound very loosely to the nuclei and can move about freely within the,o ul6x 5dlzoo, oistz.,w62x material are referred to as

  A negatively charged rod is brought zp 41tn3* zyg2ug,z3oz;inq w near one end of an uncharged metal bar. The end of the metal bar farthest from the chuwp3* yoz4gi2 3nq;, tzgnzz1arged rod will be charged

  Sphere A carries a net 1c 1p( rg.h8b9bf oxu,du9mpp positive charge, 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. Which mpuf,p81bcho9r b dxu9.(pg1 statement is correct?

  How can a negatively charged rod chm,j9cycb-o ;m*k e*2:cxlg tsarge an electroscope positively?

  An originally neutral electroscope is briefly 6 j deg7o76 hv*w0dscwtouched with a positively charged gljcse7* do6dwg 06v hw7ass rod. The electroscope

  An originally neutral elecbkxu*1t,im zn4z4 rd,troscope is grounded briefly while a positively charged glass rod is held near it. Afb*mux n tk 4zdi,r,14zter the glass rod is removed, the electroscope

  A positive object touches a neutral electroscopm8 lumg6 ejvimnv:bg3( : t*5le, and the leaves separate. Then a negative object is brought near the electroscope, l*v68 mnmmtg(3bgilej :u:v5but does not touch it. What happens to the leaves?

  A large negatively charged ob vv7 d7x6kr5l gm9n6reject is placed on 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 on69d ml7rv5ekg v6rx 7bject. 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 the2.horug8m.hy5n do i 2 Coulomb constant $k$, which appears in Coulomb's law?

  Two charged objects are sepcr,1 das9 p-c:bim; l9gt, nobv yjm43arated by a distance d. The first charge is larger in magnit p:1;9vrsmb ,cd am,nbct9iol jg34y- ude than the second charge.

  Sphere A carries a net charge and sphere B is neutral. They are placed nea cg j.1;kjwzy*r each other on an insulj1 kgzjc *yw;.ated table. Which statement best describes the electrostatic force between them?

  Two charged objects attract each other with4tmw 63:fxymh a certain force. If the charges on both objects are doubled with no change in separation, the force between thehf:6w4myxt 3m m

  Two charges are separated by a distance d and exert mutual a+cz8;g mlgcy5ttractive forces of F on each other. If the charges are separlc8 zc5y+;gmgated by a distance of d/3, what are the new mutual forces?

  Two charged objects attract each other with a force F. What happens to the foagup0 c8kr782 uorcq6rce between them if one charge is doubled, the other charge is tripled, and the separation qcou k c u876r8g2pra0distance 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 me dbrmd7q6*1b . What happens to the magnitude of the force on the proton if a second 7d*rb1 debmq6 electron is placed next to the first electron?

  An electron and a proton are separated ac hy9p-:ou hs6u:ws/by a distance of 1.0 m. What happens to the magnitude of the force on the first electron if a second electron is placed next to the protonh puya/wchso6u ::-s9?

  An electron and a proton are separated by a distance of 1.0 m. What happens tnucu0gkm -q)izy)*r/ o the size g)yqn)-r/ *0kucz iumof the force on the proton if the electron is moved 0.50 m closer to the proton?

  A point charge of +Q is placed at the centn)8w hg8,urk(;f9 metmv tom8er of a square. When a second point charge offm t e(g)t8 wu,kmmh v8;r98no -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 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 trianghe, zfl/uypy0jg z2+gdallkoi n5l;)0:0* yble. 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 l; ug0nfd)l 5z :+,jyi0 lep0gy*azyobk/l2h the other vertices?

  Which of the following is note/c 5wuz ex5+l a vector?

  At twice the distance from a point charge, the strength of the elech-6uem i- dmns*g)(zq rm7/scfgq6szp z14 b5tric field

  Is it possible to have a zero electric field valuex dkbli87+jot ; e(y1hv:0 4dprp+y ct between a negative and positive charge along thdvx1:te+y p+b kdiht40cl ;poyj8 (r7e line joining the two charges?

  Is it possible to have a zero electric f 7;h6dibbxmja;es /9 o,b0y lkield value between two positive charges along th x9yelmhd ;b;7ob akjs/b,6i0e line joining the two charges?

  Electric field lines near psi xhwy8f8)x0pxtive point charges

  The electric field shown l,s3+ l 4jmjpx

  Can electric field lines gw9p cw50mzf9intersect in free space?

  A solid block of metal in electrostatic equilibrium is su9v e wyof9cugw/(ta. ieh1t:2a 9b0 placed in a uniform electric field. Give a statement concerning the electric field i29 /0gw9.ufewu y1i( o:ev9cbhtst aan the block's interior.

  If a solid metal sphere and a hollow metal sphere of equal di ,r z8vzdkbc)4ameters are each given the same charge, the electric field (E) midway between the center and the surfaced k c,vb4)rzz8 is

  A cubic block of aluminum rests on a wooden table in a region where aityp wy*w8, g/ uniform electric field is directed straight upward. What can be said concerning the charge on the 8yp*wygti w,/block's top surface?

  If a conductor is in electrostatic equilibrium near a2oeuk tl, *r0xn electric charge

  A positive point charge is enclgfy zqp 4,0hg+ kbq8o3rt56nuosed in a hollow metallic sphere that is grounded. As compared to the case without the hollow sphere, the electric field at a nqt5u64pq g 8o3,bz+gy0rfkh point directly above the hollow sphere has

State three properties of conductors in static equilib otv* p2s,php53 x0siirium.

State Gauss's law.

  The charge carried byrcgfl tvs0zz/ oz*acd ;y4z(s* :i z/+ one 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 net charge of +2.00 mC.d*pupuu-7 tta;r) kaugzbw8gx a(90 t9bd7+ m How many more protons than electrons does this piece;7- g8ut(dgr*ud u9mbut+p) aaxz9akp 7t0wb of plastic have?

  What is the charge on 1 kq)tv.k1j8v n sfah:d; qy.cp8 g of protons?

  An atomic nucleus has a ch3uqj jweab btw)/5vp(*ur e*z k/wp.6 arge 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,6zv.;f uvw-q g4 z7g6mxi (s9pzjjd g3 have charge values of 2.0 and -4.0 mC, respectively. Whzf m v6v6.;gzx 4iuqz(d3w 79 pgjsgj-at is the magnitude of the electric force between them?

  A 1.0-C charge is 15 m from a se)eqxd:-bi s/icond charge, and the force between them is 1.0 N. What is texbi/iq - s:d)he magnitude of the second charge?

  Two 1.0-C charges have a force *ovophejq;qc ;g o:t* wo7/jk3qj. r+between them of 1.0 N. How far apart are they?

  The force between a jb7ti bwt45 q+$30 \; mC$ charge and a $-90 \; mC$ charge is 1.8 N. How far apart are they?

  Two point charges, initially 2.0 cm apart2wa me)vcxch6+;6m ni, experience a 1.0-N force. If they are moved to a new separation of 8.0 cm, what is the electric force av6ixmnc+ h2c6w)me; between them?

  Three identical point charges of 2.0 mC are placed on the x-axis. The first v3hy(m382g og6z ytbe charge is et gov(233yyh8gbzm 6 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 origin?

  Three point charges are placed on2z .rnx:; byugtqe7 (dzze*0 o the x-axis. A charge of +2.0 mC is placed at the origin, -2.0 m C to the right at x = 50 cm, and +4.0ezq:0rdugz xn;. tb(z7*2yeo 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 an.3qeds 7o 8 sdsok22bre located at 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 is the magnitude of the foo8sso7 b ndk2q3ds.2e rce on the 3.00-mC charge?

  A point charge of +Q is pl se y,g 9u2pd4uua1md5aced at 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 charge at the center. What is the magnitm12, s d5yu9peduug a4ude 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 x 0x3jmg9yqp0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the magnitude of the net force on the 5.0 g3p x0 mxjq9y0nC charge?

  Q1 = 6.0 nC is at (0.30 m, 0); Q2 sxg jrr zu 7i-w23k8a9= -1.0 nC is at (0, 0.10 m); Q3 = 5.0 nC is at (0, 0). What is the direction of the net force ox u8 sk-a 9ir7zwj3g2rn the 5.0 nC charge?

  Three identical charges of 3.0 mC are p.c 7tkir:0unnz j pj/;laced at the vertices of an equilateral triangle which measures 30 cm on a side. What is the magnitude of th0/kj:7cu;r j.ntzi np e electrostatic force which acts on any one of the charges?

  Consider point charges of +Q and +4Q, which are separated by 3.0 m. Ata d(6a zl7vq+ . pdubjenz0e67 9l5pfl what point, on a line between the two charges, would it be possible to place a charge of -Q such that the electrostatic ffebl9 +(lvl 56 nj07u 6qp7aa.ezd dpzorce acting on it would be zero?

  A +3.0-C charge is at the origin and a +9.0-C ch1j6ta)n *jlfsm6y3cm q(yz0large is at x = 4.0 m. Where on the x-axis can a third cznjyllm1t3*y6 a0mq(c) js f6harge be placed so the net force on it is zero?

  Charge +2q is placed at the origin and charge -q is placed at x = 2a. Where crs;c+ l rs;l mhr;ha2+an ll 2mhh;sar+;r+cr s;a third positive charge +q be placed so that the force on it is zero?

  A copper penny has a m c/2 ath7h;b+lf 5(qtzfwb p.ikkro 5+ass of 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 gravityp3p jcw5, ve7a by the attraction of a fixed proton some distance above it. 7a,35we vjpcp How far above the electron is the proton?

  Two 0.20-g metal spheres are hung from a2qfbvu, ))bxo rt9u ,9k 7ydwm4ihog, common point by nonconducting threads whh,uv2qg ) m7,io4 bdkx9ow )b ,try9ufich are 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 haud78h rh6ie)1 bnz5va c(ulw 7 l9in-ws a charge of +40e. What is the magnitude of the electric field at a distance oi 7bihr7zul9le8-chw6 )naw5( d v1nu f 1.0 m from the nucleus?

  What are the magnitude and direction of the elecg 0/u*v (rcr dz1v/vqntric field at a distance of 1.50 m from a 50.0-nC charge?q1vznd0u rc*/vr/( vg

  A 5.0-C charge is 10 m from a small test charge. What is the magnitude of thev )ycn y:c lc,9x42.rh1djrhe el)4cnhlherxyc d1r v,j92: .ycectric field at the location of the test charge?

  A 5.0-C charge is 10 m from a z/bpt wj)05g )6xvm.etld6tn small test charge. What is the direction of the electric fit/)bl)ztp gnjew0v m d6t6x5.eld?

  A 5.0-C charge is 10 m from a small test charge. What is the magnitude of the td8mp 9va gh*;k 0;/w*j2a bzzst.zsxforce experienced by a 1.0 nC charge placed at the locatioa8*0 j 29gbzm/zkstvtz*ha x ;ds; .pwn of the test charge?

  Two point charges each have a value of 3.04.d xymzk(4os y u+2t5( khwij.qcui3d+qh5o C and are separated by a distance of 4.0 m. What is th3husu+do4y2k5jqh. o x dwkc(y+ zmii.5(4qte electric field at a point midway between the two charges?

  A 5.0-mC charge is placedgp6ay: i1pk -baa omb7pc:0l5 at the 0 cm mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mark. What is the electric fiel aip:b5k:7 py 1a0pc6m-lbag od at the 30 cm mark?

  A 5.0-mC charge is placed at the 0o+mpyh4ig 2+xf*y y;wai+lf * cm mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mark. At what point on a line joining the two chay*i *2yx4 wp+maffhy+; +lig orges is the electric field zero?

  Two point charges of +3.0 mC amvr,ji91if0ehx/l (y nd -7.0 mC are placed at x = 0 and x = 0.20 m. What is the magnitude of the electric fiv(xi 0rj,efiyh1ml /9eld at the point midway between them?

  Three 3.0 mC charges are at the thi 19/ 3a lkh3( peibbkvdx/u6free corners of a square of side 0.50 m. The last corner is occupied by a -3.0 mC charge. Fin 1id3p ahx i/(b/f39 uvekkl6bd the electric field at the center of the square.

  Consider a square which is 1.0 m on a side. Charges are placed at the88afr7x adjw, 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 magnitfwad7 ,8aj rx8ude 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 a uni fcr*a3,gj.j4kl rxhv soe65/;e7 s vjform electric field. What6, eejvxs *3s47l rhgjv.cf/r;ok ja5 is the magnitude of this electric field?

  A particle with a char 7hjsd0*v ,*5kex3;s rqb9 ylwkbhp/fge of 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 mass 0.120 g is placed t :p5akvnh tm6285/hmhq9xhyv 3d q-uin an electric field of 6000 N/C pointing downward. What charge mus v5px-q m3hmv 2h9tk /h8 5qn6:ytaudht be placed on the ball for it to be suspended?

  A foam ball of mass 0.150 g carries a charge of -2.00 nC. Thgr: vna,musx8is.x (nm zx3o11u 2k:ae ball is placed inside a u3(2.sna :unxozx i8au ,:xmk1r1vsm gniform electric field, and is suspended against the force of gravity. What are the magnitude and direction of the electric field?

  A metal sphere of radinfm6d::gm k6rs +eu 2aus 10 cm carries a charge of +2.0 mC. What is the magnitude of 6:nam fsr2 gm6+eduk:the electric field 5.0 cm from the sphere's surface?

  A metal sphere of radius 2.0 cm carries a charge of 3.0 mC. What;jv )n asse:kq0: who. is the electric field 6.0 cm fro k o)0n wqvsj:;sha:e.m the center of the sphere?