95.26: Two positive point charges repel each other with force 0.36 N when the4r sxavxbnu wm u79 ;3ou)ib03ir separation is 1.5 m. What force do they exert on each other when theu 7nu3 w4 bmv)9ax0srou;bix3 ir separation is 1.0 m?

  12.13 Approximately how many electrons 2lsx f,)kg:e0rh o0wd(f ch 2rmust be removed from an electrically neutral object to give it a net k f c(2xwe2s0l0 orhg:)fr dh,charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of elebx9 ::hp mp:pc5 kt0trctrons in a horizontal wire produces a constant current of 3.20 A for a time of 3.0 hour. Which one of the followik0 5x p9hptbt:prm: c:ng 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 arncs:-b.e zn4+;b,- is3 pmsr;zuum yf+l*ew l e fixed in place a distance of 0.50mapart. The electric foruz,3bbflpn;*lmzycs -ise-;:u+ m s+wn.er 4ce that one particle exerts on the other has a magnitude of 3.00 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 distance R, what is the ratio of the gravi lwxd.q4w 2)sjtational force tdq.l ws )xjw42hat 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 charge Q and mass M be +ox6yn7c+7d,*dn (gd +n nvadh9)rmagc 0pjbing placed near a helinnj+ ma *7()cdx7oghy gda p9nd,+r cnvb60d +um nucleus (2 protons and 2 neutrons) of charge +2Q and mass 4M. The objects are each released 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 wei7x9xe 38h7z xjwu ymzwq h2v,zau)+g 5ght mg is attached to one end of a string of length L. The other end is attached to a stationary sv9xw+ 8ug m y3,za2xw75juqz hhze7)x upport. 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 vertical. What is the sign and magnitude of q?

  09.38: A small object of mass M and charge Q is connected to an in lm+i6v4kh;ywg7y41c,dw e (-irjhbtsulating massless string in a vacuum on Earth. A uniform electric field exists throughout the region of the vacuum as indicated. 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 paw k(r7ced-vytyb41 g+ ih,i; whm4j6lths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region bet/p cx5uqq;jm;9kb .anween charged capacitor plates with equal speed v. Electron A is directed hopak;.9/ bux;q q5mnjc rizontally to the left while electron B is directed 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 force of magnitude F on a 4ias 0 i l)npt9/a ozu3w9ao5wnegative point charge placed a distance x away. If the distance between the two point charges is halved, what is the magnitude of the ne paos9lu3/a 9 iwzw 0n4t)o5aiw force that the positive point charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated by a distance R, tk)su;jyzr2 m f83 mpdro6n1d2 ,fgn8ehe force between them is F. If the distance between them 88n1odp ;k d)3 yj2se,rzrmfnmu26gfis quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a distance pro 2cuutrzor+8*djs m6- duce an electrical foumr+8usjdzc tor -*26rce ofF on one another. If the distance is decreased to a distance of 0.40, what is the strength of
the resulting force?

  96.34: A point charge +q is placed midway between two point charges +3q a0-/3v aho, :fq+v8.womlrxhbjst o *xnd -q separated by mo*f8/xsbht+vr.xw-o:h ,a30 j lqo va distance 2d. If Coulomb’s constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q a3w0lo:z nd*m wx8pbh2nd a negative point charge of -q are separated by a distance d. What would be the magnitude of the electric field midway between the two chm o82 wzb3w*ln: xdh0parges?

  08.33: Two point charges * u *cgjegn/x(are fixed on the x-axis inotherwise empty space as showncu (xj/gg*en* 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 on the x-axis in otherwise empty spu0vf*t1 vo jcvlo8/o:i0xi4t ace as shown b x0ifo:v0 /v8 col*ut 4ojv1tielow.
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 6ni dw,uprxv/4,d 8eztr )cw/ in the accompanying diagram. At which of the labeled points is the 6c rpwnd4zrexv,/w8utd,/i) field most nearly zero?

  98.30: Four positive point charges are arranged as shown i:/y vp ez+y9zyn the accompanying diagram. The force between charges 1 and 3 is 6.0 N; the force between chargey+/ zypzye:9 vs 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 charge 3 is most nearly

  94.08: A point charge of +4.0 μC6,u)7 4bgbgpxuch8mn is placed on the negative x-axis 0.20 m to the left of the origin, 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 elect 8 gcpuu)x6bbhnm4 g7,ric field at the origin is zero. What is q?

  95.36: Assume the electric potential is zero at infinity. e+-kepkw;j w p* -qi1q.bo92kj, nbg5 bu v;yuA point charge of +4.0μC is placed on the negative x-axis 0.20 m to the left of the origin, as shown in the accompanying figure. A second point charge q is placed o1nj 5*kwqk jb k9-;pb.ie2e quvu+;o wy -,bpgn 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 arranged on the corners of a 10 cm square as02netar (uqa 3 shown. What would be the direction qana (3urt0e2 of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the x-axis, each05 c,*rux ay lkv)xtmxtsj9:6( b;dzh a distance a from the origin as sho5kb9yzv,axhm0c )j x;d l: r *6stx(tuwn. At the point labeled P, a distance along they-axis from the origin, what is the direction of the electric field from the given charges?

  16.33 Given the configuration of three charges, +Q, sc3ay3s) :u-xko+ imc+Q, and −2Q, which one of the following choices best represents the direi-sxyocks+a33cm): uction 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, hjfn fd w9o9. ; n-a;lbj.x.hptotal charge Q, and a charge per unit length given jn.xd;ow 9hflhj.f- n;a.b9pas $λ=λ_0cosθ$ 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?