95.26: Two positive point charges repel each oth.j x. n4o*pqcger with force 0.36 N when their separation is 1.5 m. What force do they exert on each other when their separation is npj.4gc *.oqx1.0 m?

  12.13 Approximately ho/6 xey oy6gpn6w many electrons must be removed from an electrically neut6 /66enyygxopral object to give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a horizontal wire producenlw4 z(ngo uyjqqwhu-f36/9) s a constant current 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 th)n9 oz/w gnl ujwq(-y63qh4 fuis time?

  13.07: Two identical particles are fixed in pm;8 +tqw f eew1b6 .ldccsfh24lace a distance of 0.50mapart. The electric force that one particle exerts on the other has a magnitude of 3.00 N. Which one of the following choices best represents the magni4ffl.bq+ c8 ;wh wecsde216tmtude of each particle’s charge?

  07.25: If two protons are spaced by a 9s6 9z8zi 4tth8 dt/ym.bqf4 koz*0n fk,uta mdistance R, what is the ratio of the gravitahztfq4bk9f /9zk*,0 m8yt6uo8ts d 4 tim.znational force that 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 experimenry4ib lldh 0v :0m8cexb+*8mgt with a proton of charge 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 released from rest and begin to move. From the scientist’s point of view, which choice best describes the object that experiences the greatest magnitudee* 0c vx84:mm8 biblygdr0+hl 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 weig4iu/hg 7ltm,o:ch6sxht mg is 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 6:i4h/h7gl ux,soctmq 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 insul 0;:nul: pnekn zplm3 di5fd;3ating massless string in a vacuum on Earth. A uniform electric field exists throughout th dlek3pdlnzmu; 3ipnn:5 f;0: e 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 paths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region yj:r+ ooefw.0qnc :-rbetween charged capacitor plates with equal speed v. Electron A is directed ho -oo r0:cq+w.eryfj:nrizontally 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 3.yad0amg da/on a negative point charge placed a distance x away. If the distance between the two point charges is halved, whaya.a0a d dg3m/t 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 :u ci(cc1t 3um 0fztd9objects are separated by a distance R, the force between them is F. If the d tfc( 1tcmu9z:3d0ciuistance between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a distad2 zjr lp()a;w b:ntn3nce produce an electrical force ofF on one anothejwb tp ;(nnrdlz:a )32r. 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 and tsp;,t-n us4x -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the force on the charge +q ;-st x,utpns4is:

  01.31: A positive point charg z(5 fnv bpo2)1orpe.ie of +q and a negative point charge of -q are separated by a distance d. 2 pnfop5re.) voiz1(bWhat would be the magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise empty space asy.*5y6gldk il shown below. iy56k* l gy.dl
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 space 4 hktsy i,fx e* 2vgs(7hc(1sxas shown belowyivxx 7c*e f h(( 2h,ks14sgst.
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 tw9:yix 9ye*i) h8ky+w6 gzhythe accompanying diagram. At which of the labeled points is t9hkww8*)x6 yyiyt +ygehi z9:he field most nearly zero?

  98.30: Four positive point c6w0zdr70yth;i; l x t*l ewi4rharges are arranged as shown in the 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 charge 3 is 60*ld ;4zr h ilyx;ew7tr wti0most nearly

  94.08: A point charge of +4.0 μC is placed on the negative x-a k;sj+c: xvu3ale/ jf8xis 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-axiskc3 xl/f8;js: +eauvj 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 infinity. A point ch, q*w9z:pvs m zd1a5nmarge of +4.0μC is placed on the negative x-axis 0.20 mz* pa ds:91,mqzwvnm5 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 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.2y +p)a;ai, xw ja kxo:qof6z square as shown. What p ,2k6:x a zayfw+iq x;.o)aojwould be the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the 1 b nos:jd 6cq:u8s-urx-axis, each a distance a from the origin as shown. At the point 81 -b :jur 6sso:undcqlabeled 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 c5 0r9v( hg sxil0pcd0charges, +Q, +Q, and −2Q, which one of the following choices best represents the direction of the electric field at the point P and the sign of the electric vcs(rp9 x5dh00glci0 potential at P from these charges?

  17.43: A semi-circle has rac8 ;0lq xtsjxyvsf27 k:aq/o7dius R, total charge Q, and a charge per unit lengt7o:yxl f2kq/t;qc0 78xajs vsh given as $λ=λ_0cosθ$ 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?