State the law of conservation o05x0(yc0pi e+bvk zb cj4xu3zf electric charge.

  Is it possible for two negative .) x 9nrw* t.0wrbeervcharges to attract each other?

  Is it possible for a positive and 2h*vayr /4c7n/hwk1)nt, nzv0l rt id a negative charge to attract each other?

  A glass rod is rubbed with a piece of silk. During the process the ohgo,7ot( a 8kglass rod acquires a positive ch8h ag(to,k7ooarge and the silk

  A proton carries a

  The model of the atom shows ax4 aqxn,8 byj,

  A neutral atom always hadb 9rhkde+aw /-t9d3sf9 gv :zs

  An atom has more electroncuj*q ydw7k /-zmzak )p.mj- -,eu4res than protons. The atom is

  Materials in which the electrons are bound very tightly to the n d47w(skibi-g14n fa nuclei are referred to a4(kb7 ngisfw14d- ain s

  Materials in which the electrons are bound very loosely to the nu 8b.ex,1-xfp)i wm pyyji;y64 l1skijclei and can move about jxw;,ik.8-my)fy pl1j 1s xypi6b4e ifreely within the material are referred to as

  A negatively charged rod is brought near one end of an uncharq+r::pgumxp*3+ l rm qged metal bar. The end m3:*+pr+ xqr pmu:l qgof the metal bar farthest from the charged rod will be charged

  Sphere A carries a net positive charge, lc9//r)pv 9ne2c2p/rt hg fyh and sphere B is neutral. They are placed near each other on an insulated table. Sphere B is briefly touched wif /cl9e /pyvr 29 hnp/tgh2c)rth a wire that is grounded. Which statement is correct?

  How can a negatively charged rod charge an electry,qe,l dy k ikk2i9k7i);e2 fooscope positively?

  An originally neutral electroscope is briefly touched 3fq bi,mi9is0b v1l9d with a positively charged glass rod. The elecm 3d0qs f91ii,9vlbbitroscope

  An originally neutral electroscope is grounded briefly wh)ng2 )ljswki5 ile a positively charged glass rod is held near it. After the glass rod is removed, the eleg25w )) lnkijsctroscope

  A positive object touches a neutral electroscope, and the leave3zet9h lwa +l6s separate. Then a negative objecea+ w6lt3 hz9lt is brought near the electroscope, but does not touch it. What happens to the leaves?

  A large negatively charged object is placed on an in,r 0pqg9(ekgp gzev ft3: 9:xtsulated 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 does either ball touch the n egx30e k,v:(q9zg g:pr9tf ptegative object. What is the final charge on each ball?

  Charge is

  What are the units of the Cowjv3 gma 21q e-.sdyl4fkw( 2bph1sc9ulomb constant $k$, which appears in Coulomb's law?

  Two charged objects are separated by a distance d. The first charge t2pgpx2 5bq2x is larger in magnitude than the sec2ptxq bx52g2 pond charge.

  Sphere A carries a net charge/v:z-o xa;sxw and sphere B is neutral. They are placed near each other on an insulated table. Which statement best describes the electrostatic force /: wvzxo; as-xbetween them?

  Two charged objects attrm :kl 1 azl5bruq/e;o*pcx;+dact each other with a certain force. If the charges on both objects are doubled with no change in separation, the force between the;a/l5zdrxe*+o lmku q pc:;b1m

  Two charges are sepac y8w0 eabl0qz-f/5f vrated by a distance d and exert mutual attractive forces of F on each other. If the charges are separated by a distance of d/3, whafzf l05b/0a-8v yewcqt are the new mutual forces?

  Two charged objects attract each other wia7q au0x(+cv 50+vqqtko3 z nv o8j2wcth a force F. What happens to the force between them if one charge is doubled, the other charge is tripled, and 8 +v75cuzq wo+v2(0 n 3tcj0oakxqvqathe 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 msl69j;ft 7lhfsg-x /z. What happens to the magnitude of the force on the proton if a second electrgf/f;hjs9 -t ls 7xl6zon is placed next to the first electron?

  An electron and a proton are separated by a distance of 1.0 m. Whagp jzo.:(lce7qsr5rd9k3 y wa0fld , ,t happens to the magnitude of the force on the first ell (fa lr5o sjz0wk,3p9y7qcdeg rd, .:ectron if a second electron is placed next to the proton?

  An electron and a proton are separated by a distance of 1.0 mj) w nagp9-pd*. What happens to the size of the force -gnj9w)*apdp on 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 point cv-uct6pf2 ct3 harge 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 -Q6c ufc-v3t 2tp 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 j t48g0isknmg8qcnat );42g mat the centroid of an equilateral triangle. When a second charge of t 8nt 48gmkq ;ai4)sgc2m0jgn+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 rtnd791fr9qju:ji4m eq+bq 6:1jt be not a vector?

  At twice the distance from a point charge, the6e/dtv7rx5iu je 0w 7y strength of the electric field

  Is it possible to have a zero electric field value betwee pfcyx o,0:4(:d :5 gks4mu .kh(yfnilu )hhokn a negative and positive cu yg , sdom h.:kpfk 4xn:yu(k5ih0lh)c4(o f:harge along the line joining the two charges?

  Is it possible to have a zero electric field value between two posq84 wcg+lui;c s 6fu;nitive charges along the line joining the tw q;cw8f ucusn4i+lg;6o charges?

  Electric field lines near p31ml qjgpm4q nn;:tf;p.z n(m m.b)xxsitive point charges

  The electric field shown ja84sc,*vvlo ra91es 4 o*flz

  Can electric field liu afkit43 j.qm4*u1)(wqrp va nes intersect in free space?

  A solid block of metal in electrostatic equili,m 5ot uq)s/rjbrium is placed in a uniform electric field. Give ,rqu5sotmj/ )a statement concerning the electric field in the block's interior.

  If a solid metal sphere and a hobewrxq b o5w.5m,gr-gsf-18 f b/ zw/pllow metal sphere of equal diameters are each given the same charge, the electric field (E) midway between the cent q wow s5 f/zeb-/,p1x.wmbbrg8r5 g-fer and the surface is

  A cubic block of aluminum rests on a w9py:p2 thdf *pm ;r:e j*vkbq7ooden table in a region where a uniform electric field is directed straight upward. What can be said concerning the *bvd : pkpqj9*2efm;t:p7hy rcharge on the block's top surface?

  If a conductor is in electrostatic equilibrium near an electn.-w/x5 ra5ly0nm in64k hzktric charge

  A positive point charge is enclosed in a hollow metallic sphere that isdsy l*q k2r+s,24dad q grounded. As compared to the case without the hollow sphere, ts, kqla2 2r4 ys+d*qddhe electric field at a point directly above the hollow sphere has

State three properties2 y j1cw2ihqhttt9p :1 of conductors in static equilibrium.

State Gauss's law.

  The charge carried by ph o5/oq38ymz 5dtxl2 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 chaopd l98ih;+ zarge of +2.00 mC. How many more protons than elect 8i;ohd9apz+lrons does this piece of plastic have?

  What is the charge on 1 yfmift b)nm -gx-6)7xkg of protons?

  An atomic nucleus hakstpef0n+ i 1-s a charge of $+40e$. An electron is $10^{-9} \; m$ from the nucleus. What is the force on the electron?

  Two point charges, sepa t8d5 c7 t.xqezj911/ ajnvfisrated by 1.5 cm, have charge values of 2.0 and -4.0 mC, respectivee5ijjx9v1nf 81z.t a 7cqt/sd ly. What is the magnitude of the electric force between them?

  A 1.0-C charge is 15 m from a second charge, and the force between them is 1uvb1j8gfqy.25gq cu8:f v 5 vx.0 N. What is the magnit1vxgb8vqu.cffg8: qvy uj552ude of the second charge?

  Two 1.0-C charges have a force betw(c d blx +9,ydxdiu 1lqdl/-8n28 zkvceen them of 1.0 N. How far apart are they?

  The force between a e((cp(e)d5 frr*z zqbo f6y r4$30 \; mC$ 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 +jk- f g1yakcfzr1*b5 they are moved to a new separation of 8.0 cm, what is the electrif bg5*a- k y+r1zjck1fc force between them?

  Three identical point charges of 2.0 mC are placed on the xg9bgiqm,-p/p-8vadu u8 vu 8-mc( exx-axis. The first 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 act-8q8i uc-uv9 b-a , mp/x (pgmgud8xevs on the charge at the origin?

  Three point charges are placed on the x-axis. A chargenj9 9k f:pvm1v 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 cm mark. What are the magnitu9m9jf 1pvvkn:de and direction of the electrostatic force which acts on the charge at the origin?

  Three point charges are located at the following positions: Q1 = 2.00 mC at x /gn5 a 5okjm5s 2g0wf;ntqo+l= 1.00 m; Q2 = 3.00 mC at x = 0; Q3 = -5.00 mC at x = -1.00 m. What is the magnit;angts loqm2/05fg 5wn5o+kjude of the force on the 3.00-mC charge?

  A point charge of +Q is placed at the center +-gvdqwz2ezv o 8xo34of a square, and a second point chargeq2zd3vvgx+z8ow e4 o- 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 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 c4 gzf-q*q8z2fxqkg 4 cbc9x0m); Q3 = 5.0 nC is at (0, 0). What is the magnitude of the net force on the 5.0 nC chargegfk82cx0*q44g9zzcb-qx fcq ?

  Q1 = 6.0 nC is at (0 u2 de; shdxq)/m/*vmo.30 m, 0); Q2 = -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 on the 5.0 nC chuq/semx*ov ; /)dmd2h arge?

  Three identical charges of 3.0 mC are placed at the vertices of 6q8 vls-vhni et bwxvy0j2,(7 an equilateral triangle which mevjxw-q s(tln v728y,6v0bi heasures 30 cm on 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. .teqvg83hw+ ;or2jt ud0leh2 At what point, on a line between the two charges, would it be possible to place a charge of -Q such that the electrostatic for; hdwhl t gue+ erj.t2q2v830oce acting on it would be zero?

  A +3.0-C charge is at the origin and a +9.0-C osx,lb1r sl96g/c 4qgcharge is at x = 4.0 m. Where on the x-axis can a glb g,x6qscl1/ 4rso9third charge 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. Whered712ctr it rf9 can a third positive charge +q be plr1 tt72 dfr9ciaced so that the force on it is zero?

  A copper penny has a mass of;.bzc gslio)1 pta.w0 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 b/ ufjvs jpf(ap(.l- l(twao *;y the attraction of a fixed proton some distance above it. How far above the pfp( wv (.ao *tl a;-j(f/uljselectron is the proton?

  Two 0.20-g metal spheres are hung from a common point by nonconducting threadsgukb *ht5* z4v which are 30 cm long. Both are given identical charges, and the electrostatic repulsion forces them apart until thehbkv*g5 z 4ut* 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 elxe3h.cof /0uvu:/4 ieuk s8a tectric field at a distance of 1.0 m from the nucleu3k .ue0 s4ite/ouu hf/8:vxac s?

  What are the magnitude and direction of the electric fiwglqs ) 8joo85eal 59yeld at a distance of 1.50 m from a 50.0-nC c8lo ewj)as5g lo98y 5qharge?

  A 5.0-C charge is 10 m from a small test charge. What is the magnitude of )y4qs2qif 28 qc0lgslo 8f 4v h*yrho5the electric field at the location of the test chary l2lsrg2)08*f84vo4h cqfq5is qy hoge?

  A 5.0-C charge is 10 m from q0 d)u+/hwroc3s+(lda;5b s rvcv ep*a small test charge. What is the direction of the elerw05shla* or q s3+/+vc b(v ecdp)ud;ctric field?

  A 5.0-C charge is 10 m from a small test cq )p4n mc;;sow/ 6/r*pywnlqwharge. What is the magnitude of the force experienced by a 1.0 nC charge placed at the locatio/m )*y;sq /on4l wc6qw ;rwpnpn of the test charge?

  Two point charges each have a value of 3.0 C and are separated by a distance of t)qshymst0-ze6 1+ w s4.0 m. What is the electrt1s) me 6 +qhzyssw0t-ic field at a point midway between the two charges?

  A 5.0-mC charge is placed at m(xhh hnio08 0the 0 cm mark of a meter stick and a -4.0 mC charge is placed at the 50 cm mar(0h o0ihxmn8 hk. What is the electric field at the 30 cm mark?

  A 5.0-mC charge is placed at the 0 cm mark of a meter stick and a -4.0 mC cha 6mp ou.lx1fa4. xz-kprge is placed at the 50 cm mark. At what point on a line joining the two charges is the electric field zfol-. .6x4m1upzap kxero?

  Two point charges of +3.0 mC and -7rf3h(sblv t;4.0 mC are placed at x = 0 and x = 0.20 m. What is the magnitude of the electric field at the poin3h rsvf( b4;ltt midway between them?

  Three 3.0 mC charges are at the three corners of a square of sid2(jni :zn j9c:0szlk ye 0.50 m. The last corner is occupied by a -3.0 mC k0in2z(nz9:lyj:cj s charge. Find the electric field at the center of the square.

  Consider a square which is 1.0 9b :a5-uqfikw m 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 (1u5fa k9iwb-q :, 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 .kwl/jf jig cck0mmn6y3 1- x3:d mk+eis placed in a uniform electric field. What is the magnitude of t mx c 0lf1-j i.m3jk6c/kdk:mge+ yw3nhis electric field?

  A particle with a charge of 4.0 mC has a mass of wy,i oh 61z;9pgl)i*bo 4yrnr $5.0 \times 10^{-3} \; kg$. What electric field directed upward will exactly balance the weight of the particle?

  A Styrofoam ball of mass 0.120 g is placedez kbc)c6ed :8l8/c:bms cgn4 in an electric field of 6000 N/C pointing downward. What charge must be /:6g4 nelc8mkz8bed ): scccb placed on the ball for it to be suspended?

  A foam ball of mass 0.150 g carries a chanue.i 6j*/vuq rge of -2.00 nC. The ball is placed inside aq*u./ i euvn6j 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 caru j9jx.ig+9 1mumwy7xries a charge of +2.0 mC. What is the magnitude of the electric field 5.0 cm from the sphere's sumjwi997g +ux1m jux.y rface?

  A metal sphere of radius 2.0 cm carries (b)wtefh(h* b a charge of 3.0 mC. What is the electric field w ft(*hhb)eb(6.0 cm from the center of the sphere?