95.26: Two positive point charges repel each other with force 0.36 Ni ebhwx5c h uci9,i--3 when their separat5wx-hie h ic9 3,ucbi-ion is 1.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons mut/cxwhk*dpcc4n:8 /l ;kuu;rst be removed from an electrically neutral object to give it a net charge of Q = + 1.00 C8k /t/uu;nrlckcc p*4;:xhd w ?

  13.15 In a circuit, the flow of electrons in a hori p7nahrna :5d /ik(r/*a7asfwzontal wire produces a constant c/ 7r(npaa/:aafhdk*5n w7 rsiurrent of 3.20 A for a time of 3.0 hour. Which one of the following choices best represents the number of electrons that pass through a vertical cross-section of the wire during this time?

  13.07: Two identical particles are fixedcpo8mqxo,jy47w 5y e 3 in place a distance of 0.50mapart. The electric force that one particle exerts on the other has a magnitude of 4 8mxw7j yqoc,e5op 3y3.00 N. Which one of the following choices best represents the magnitude of each particle’s charge?

  07.25: If two protons are spaced by a d d7qi4+0lk6sf5v;w:dgc0klul4nd90o em w spistance R, what is the ratio of the gravitational force that msd 0wkdl0ufnpv4d 069wqskle ;4 5g:oli7c+one
proton exerts on the other to the electric force that one proton exerts on the other?That is,$\frac{F_{gravity}}{F_{electric}}$=

  10.12: A scientist sets up an experiment with a proton of chaazuflz*wqmla-y.l.q ;m;(5 71s a kbkrge Q and mass M being placed near a helium nucleus (2 protons and 2 neutrons) of charge +2Q and mass 4M. The objects are each releas am;qzlym k;zlq-fak5 7uw*1. lsb.a( ed from rest and begin to move. From the scientist’s point of view, which choice best describes the object that experiences the greatest magnitude of electric force from the other and which object experiences the greatest magnitude of acceleration? Ignore gravity.

  94.39: A small object with charge q and weight mg izuj52mgwbhhbhc ) (5(d// tzis attached to one end of a string of length L. The other end is attached to a stationary support. The system is placed in a uniform horizontal electric field E, as shown in the accompanying figure. In the presence of the field, the string makes a constant angle q with the verticaub m/h j5g)2dwz (h5/(ct bhizl. What is the sign and magnitude of q?

  09.38: A small object of mass M and cub09 7roa xo;a/ca/biharge Q is connected to an insulating massless string in a vacuum on Earth. A uniform electric field exists throughout the region of the vacuum as indiba/ o7/i; barc xo9au0cated. The mass remains in static equilibrium at an angle of θ with the vertical as shown in the figure. When the string is cut, which of the illustrated paths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region between chaul7pdz 5wr636(jpxee rged capacitor plates with equal speed v. Electron A is directed horizontally to the left while electron B is dzreepw up6x 35j7ld(6 irected at$30^{\circ}$below the horizontal. Each electron makes it to the left-hand plate. Which one of the following choices best compares the speeds of the charges ( $V_A$, $V_B$) upon arrival at the left plate? Consider only the electrons A and B’s interactions with the constant electric field between the plates, ignoring any relativistic effects.

  08.06: A positive point charge exerts a tt3717 5jflu+d0 7 rrwp)uji a p*idohforce of magnitude F on a negative point charge placed a distance x away. If the distance between the two point charges is halved, wu 7j w 7fj3*rh)loprit5d 017t+ipdua hat is the magnitude of the new force that the positive point charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated j,:gpf8:uv/fiun ebmig u 9r,8i5k6d by a distance R, the force between them g8du,fen:6rf:bg v ki/mu9, p i85i juis F. If the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a distancf4w;w rhyl0(yt (v3md( ,g 2 :znym/ ev2sywjye produce an electrical force ofF on one another. If the distance is decreased to a distanc wzmyt f34w2v(2ry0dmy lsyj(v ;,g:nw he/y( e of 0.40, what is the strength of
the resulting force?

  96.34: A point charge +q is placed midway between two point charges +d9mwi0jjbk; 7));a8sx tqhmq;c0v pr3q and -q separated by a distance 2d. If Coulomb)q0i;d m ;qskbjh xva8 c0t7wp9rjm) ;’s constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge ofewv* /6u9c:ynfa no.e0vi+go +q and a negative point charge of -q are separated by a distance d. What would be the magnitude of the electric field midway between the /n +oena.uf *0o9 g:wvcveiy 6two charges?

  08.33: Two point chargesmy+l(+pzt qz. yt-nhc;4 7beu are fixed on the x-axis inotherwise empty space as show ;tbnm(htycz+e u4z.py-q+ 7 ln below.
In which Region(s) is there a place on the x-axis (aside from infinity) at which the electric potential is equal to zero?

  08.34: Two point charges are fixed onlhzay .k 06t fy*dm ://yvd8rp the x-axis in otherwise empty space as shown belad0 pym6/r/fy.h :ytvlk8zd * ow.
In which Region(s) is there a place on the x-axis (aside from infinity) at which the electric field is equal to zero?

  98.23: Two charges +Q and –4Q are arranged as shown in the accompanying d hnec3e rs7 4:*;.dwag :jhwlziagram. At which of the labeled points isw:en c 3rswea g4d:7.hjhlz;* the field most nearly zero?

  98.30: Four positive point charges are arranged as shown in ;n6qg5yllpcw:q,mad(w c )(fthe accompanying diagram. The force between charges 1 and 3 is 6.0 N; the force between charges 2 and 3 is 5.0 N; and the force between charges 3 and 4 is 3.0 N. The magnitude of the total force on chacl(; , (nwc :pylq)af5qmg6dwrge 3 is most nearly

  94.08: A point charge of +4.0 μC is placed on the negative x-axis 0.20isqyyv,z 86.f m to the left of the oz, vq6f.iys 8yrigin, as shown in the accompanying figure. A second point charge q is placed on the positive x-axis 0.30 mto the right of the origin. The net electric field at the origin is zero. What is q?

  95.36: Assume the electric potential is zero at inf+fzf1l (dlr38zvj,x,y(ad k kwjt7 m(inity. A point charge of +4.0μC is placed on the negative x-axis 0.20 m to the left of the origin, as sh(j,ymal3f(7,(xkvdd r tz1k j+lwz 8fown in the accompanying figure. A second point charge q is placed on the positive x-axis 0.30 m to the right of the origin. The net electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical charges are arev;5a d3t fr.hranged on the corners of a 10 cm square as shown. What would be the direction of the resulting electricd3f5hv ater.;
field at the center point P?

  14.10: Two charges −Q and +Qhzz:6 ch7s x3yg/pg 2n, are fixed in place on the x-axis, each a distance a from the origin as shown. At the point labeled P, a distance along they-axis from the origin, what is the direction of the elec3z pz6h/g7 sghx:cy n2tric field from the given charges?

  16.33 Given the confque(snv/m- xs +sy 4l:iguration of three charges, +Q, +Q, and −2Q, which one of the following choices best rep-uq+ l4sem(xyn ss /v:resents the direction of the electric field at the point P and the sign of the electric potential at P from these charges?

  17.43: A semi-circle has radius R, total charge Q, and a charge per unit len(o)e*dbzdjfh k:8 -tpgth given ao:ekbd8 z (pdh j-f)t*s $λ=λ_0cosθ$ with θ defined in the figure and $λ_0$ a positive constant. Which one of the following choices gives the electric field strength at the point labeled P?