Is that point to the left of the first two particles, to their right, or between them? (b) Should the third particle be positively or negatively charged? (c) Is the equilibrium stable or unstable? 5 In Fig. 21-16, a central particle of charge !q is surrounded by two cir1 Figure 21-12 shows (1) cular rings of charged particles. What–e –2q –e four situations in and which are the magnitude direction of five charged particles are (2) centhe net electrostatic force on the +e +e evenly spaced tral particle due along to thean other parti–7q axis. The charge cles? (Hint: Considervalues symmetry.) (3) +4q +2q +e –2q–e +q +e –e r –7q –e –e +e R +e are indicated except for 6 A positively charged ball is +q the central particle, which brought close to an electrically neu(4) has the same charge in all +e –2q–e tral isolated conductor. The conduc-–e –2q +e four Rank while the the ball tor issituations. then grounded Fig. 21-12 +4q Question 1. situations according is kept close. Is thetoconductor the magnitude of thecharged net charged positively, negaFig. 21-16 Question 5. electrostatic force particle, greatest first. tively, or neutral if on (a)the thecentral ball is first cles o the m an el Are t Is the great two fo cel? ( that o What maini 3 midd fi 4? (In o butio comp taken away21-13 and then thethree ground connection is removed 2 Figure shows pairs of identical spheres and that (b) are to the ground connection is first removed and then the ball is taken be touched together and then separated. The initial charges on them away? are indicated. Rank the pairs according to (a) the magnitude of the 7 Figure 21-17 shows threetouching situations involving charged particharge transferred during and (b) theacharge left on the cle and a uniformly chargedgreatest spherical shell. The charges are given, positively charged sphere, first. and the radii of the shells are indicated. Rank the situations according to the magnitude of the force on the particle due to the presence of the shell, greatest first. ** View All Solutio +2q +6q 2R d R +5Q (a) Fig. 21-17 8 –q –4Q R/2 +8Q (b) (c) Question 7. Figure 21-18 shows four arrangements of charged particles. p p 10 I square along tion o other the am 3 (c )21-35). ) cube is 0.40 nm.wi cube’s center (Fig. The edge length of (d the tho an The Cs! ions are eachFig. deficient one electron 21-21by Problem 2. (and thus each has the • (c ) the Cl# ion has one excess (d ) electron (and thus an ot a charge of !e), and 0° counf (c ) (a) What is the magnitude (dof ) the net electrosta-oth has a charge of #e). 21-21 Problem 2. point charge q " ••1 q •3 SSM What mustFig. be the distance between o what x 1 # ! Fig.Cl 21-21 tic exerted the ion#47.0 byProblem the Cs electrostatic ions at the corners foQ 26.0force mC and pointon charge q2 " mCeight for2.the force ••1 original ! of the cube? (b) If one thedistance Cs of ions is N? missing, crystal SSM q4p •3 What be the between pointthe charge q1is"said for between them tomust have a of magnitude 5.70 to have defect; what is the of electrostatic SSM •3 What must be the distance between point charge force q1 "forceqQ 26.0 mC aand point charge q2 "magnitude #47.0 mC forthe thenet electrostatic 4a •4 In the #return stroke of a typical lightning bolt, a current ! axis, at a liday_c21_561-579v2.qxd 16-11-2009 10:54 Page 577ions? force Q/ exerted on the iona by seven remaining Cs 26.0 mC and point charge q2the " #47.0 the electrostatic pat between them toClhave magnitude ofmC 5.70for N? 4 of 2.5 % 10 A exists for 20 ms. How much charge is transferred in $ #27e. pa between them to have a magnitude of 5.70 N? anc •4 In the return stroke of a typical lightning bolt, a current this event? between an tro 4 the return stroke of a typical lightning bolt, a current : •4 of 2.5 % 10In A exists for 20 ms. How much charge is transferred in • #6 F3,net on –charge $3.00 % 10 •5 A particle of C is 12.0 cm distant from a tro cle 4 Cl of % 10 A exists for 20 ms. How much charge is transferred in this2.5 event? a #6 mize the second particle of charge #1.50 % 10 C. Calculate the magnicle this event? ••1a Cs+chargeforce •5 of $3.00between % 10 #6 C 12.00.40 cm distant from a nm e? tudeA ofparticle the electrostatic theisparticles. ••1 an #6 #6 •5 A particle $3.00 %% 10 10 C is cm distant a second particleofofcharge charge #1.50 C.12.0 Calculate the from magni• #3 an ILW Two equally charged particles •6 are held 3.2 % 10 m y cosmic an #6 second particle of charge #1.50 % 10 theC.particles. Calculate the magnitude of the electrostatic force between l an apart and then released from rest. The initial acceleration of the otons all ••1P tude of the electrostatic force between the particles. #3 2 ILW •6 Two equally charged particles are held 3.2 % 10 m first particle is observed to be 7.0 m/s and that of the second to th’s sur••1 loa #3 ILW •6 Two charged particles are held 3.2 % m 2thenequally #7 10 apart and released from rest. The initial acceleration of the be 9.0 m/s . If the mass of the first particle is 6.3 % 10 kg, what loc protons Pap 2 initial acceleration of the apart and then released from rest. The first particle is observed to be 7.0 m/s and that of the second to are theHow mass many of theelectrons second particle and (b) the magnitude of a Pa d by the ILW ax •25 (a) would from 2 have to be removed 2 is observed #7 first particle to be 7.0 m/s and that of the second to be 9.0 m/s . If the mass of the first particle is 6.3 % 10 kg, what • the charge of each particle? #7 Fig. 21-35 Problem 35.C? axi pa coin to leave it with a charge of !1.0 " 10 2 #7 be If theofmass the first particle 6.3the % 10 kg, what are9.0 (a)m/s the. mass the of second particle andis(b) magnitude of o pa ••7 In Fig. 21-22, three charged particles lie on an x axis. Particles are (a)What the of mass ofparticle? the second of particle and (b) the magnitude of a ••1 e fixed in the •26charge iseach the magnitude the electrostatic force between t sec. 21-6 Charge Is Conserved 1 and 2 are fixed in place. Particle 3 is free to move, but the net ••1 the charge of eachsodium particle?ion (Na!, of charge !e) and an ad- of3 of |q1| $ singly charged ••7 In Fig. 21-22, three charged particles lieby onthe annuclear x axis. Particles of •36 Electrons and positrons are produced transforma# tios near parjacent singly charged chlorine ion (Cl , of charge #e) in a salt crys••7 In Fig. 21-22, three charged particles lie on an x axis. Particles 1 and 2 are fixed in place. is free to move, but the net L 12Particle 3L 23 tions protons and neutrons known asm? beta decay. (a) If a proton trans-tio 3i ection of if of their is 2.82 " 10 #10 1taland 2 areseparation fixed in place. Particle 3 is free tox move, but the net 1 an electron 2 or a positron 3 produced? (b) If a neu- 3suo forms into a neutron, is L 12 L 23 m SSM The magnitude of the electrostatic •27 force between two suc x it tron transforms into a proton,is an electron a positron produced? L 12 L 23 Fig. 73or and 40. o 1 21-22 2Problems identical ions that are separated by a distance of 5.0 " 10 #10 m is itm x 1 1X in the2following nuclear 3 •37 Identify reactions: (a)many H ! mu 3.7 "SSM 10 #9 N. (a) What is theProblems charge of each40.ion? (b) How Fig. 21-22 7 and of 9 12 1 15 1 4 Be : X ! n; (b) C ! H : X; (c) N ! H : He ! X. Fig. 21-22 Problems 7 and 40. giving the ion its of electrons are “missing” from each ion (thus Appendix F will help. charge imbalance)? blem 29. x (m) s ** View All Solu ** View All Soluti •28 A current of 0.300 A through your chest can send your Additional Problems ** View All Solutio heart into fibrillation, ruining the normal rhythm of heartbeat A B C and 38 Figure 21-36 shows** fourView All Solutio disrupting the flow of blood (and thus oxygen) to your brain. If identical conducting spheres that are that current forfrom 2.00 min, how many conduction electrons actually well persists separated one anW pass through your other. Sphere Wchest? (with an initial y ••29 of zero) In Fig. particles 2 charge is 21-32, touched to sphere Fig. 21-36 Problem 38. 4 and 4, of charge #e, are fixed in