95.26: Two positive point charc.rb1qd coyvbsu5vo . m7 f 6(ejk/(g,ges repel each other with force 0.36 N when their separation is 1.5 m. What force do they exert on each other whefdre,..vo (ojum/7 g6v y bb1s(q ckc5n their separation is 1.0 m?

  12.13 Approximately how many electrons must be remov7/pz8w5 tilz red from an electrically neutral object to8zp t7irlz/5w give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a horizonta43jve2 8 bfhpjl wire produces 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 electroh2 3j 8febj4vpns that pass through a vertical cross-section of the wire during this time?

  13.07: Two identical particles are fixed in place a 40wax8pcnf2 c f00lzt 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 magnitudeaw0 40 2xclt fczn8p0f of each particle’s charge?

  07.25: If two protons are spaced by a dist 7-psnc ai6(m4aq7 khxance R, what is the ratio of the gravitational s6q-akh 4(7 p7cnaixm 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 experiment with a proton of charge Q and mass M be u;l ,o)wtj9vct m7vns5/m+eoing placed no o)nj+lc,u s7tmw m5;9 /evtvear 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 magnitude of electric force from the other and which object experiences the greatest magnitude of acceleration? Ignore gravity.

  94.39: A small object with chargt:tx+61 ,nlx7n irpn.wd hbs-e q and weight mg is attached to one end of a string of length L. The other end is attached to a stationary sb-x6nh.7w, :lpi t tsxd1nn r+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,ybd ,gc/s c(k f)i;bnsulating massless strii,)byd n,s; c f/gc(kbng 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 paths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region between charged capacitor plat vj/.smmm 3bh,es with equal speed v. Electron A is dir m,jmm/3 v.hbsected horizontally 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 magnituu5d h// /sqpaxde F on a negative point charge placed a distance x away. If the distance between the tw /d5uqs/pxa/h o point charges is halved, what 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 by a dis rckpm.-j 75cctance R, the force between them icpc-ckmj .r5 7s F. If the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a distance83;g m c8ujel:qqlm8 f produce an electrical force ofF on one another. If the distance is decreased to a distance of 0.40, what is the strf m qlq8jeu3;l8g: 8cmength of
the resulting force?

  96.34: A point charge +q is placed midway between two point charges +3q and -qo(q6fhi m mrq28f 4u4y separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the force on the charge +q qy hou624 m8(riqf4mfis:

  01.31: A positive point charge of +q and a negative point charge of -q are sepa 55cejdl e3 cpq:ksw wgtkfdh3,34e5 e(g4o ;vrated by a distance d. What would be the magnitude of the electric field midway between the twhe ko(553 ; kpw4w t3:dee fs4,l3cgvq gcjed5o charges?

  08.33: Two point charges are fixed on the x-axis inotherwise empty spac,o2 m2jdn 6hbmiz*qm1wd +qd ,e as shown below. n6 wd 2, dzmm,ihdo2qq+*mj1b
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 tdlv+ 4o/pjy bfzj9-g7b0cl .she x-axis in otherwise empty space as shown bell c9p-f7 ozl +40g/bv.j jbsdyow.
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 ar.a0 so9ih9xzzmhnh3d cu1 n17e arranged as shown in the accompanying diagram. At which of the9 z9nd h.hscaun7hoi0z 131m x labeled points is the field most nearly zero?

  98.30: Four positive point charges are arranged as shown in the accompanyinbregr 4v*1 4z+rs ,gbdg 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 betweg*dgbs44 z1brre rv,+en 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 μC is placed on thtt :l qw, 8evxri5 /yx6nk3 8hjn5x2uhe negative x-axis 0.20 m to the left of the origin, as shown inetw n852vl63, h8/hiqxx kj u:y t5rxn 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 infinity. A point chargetj(0k 3ri lpye4wp t+m2/k d*k of +4.0μC is placed on the negative x-axis 0.2dl rt 0/kt2pi w+kyjp*4e3m(k0 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 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 arem.gpzwh*pctj+2w;/gxlw n:s 8g 3 +k,,uzmqg arranged on the corners of a 10 cm square as sho:k,,zw pu*gh lmnqm+wcjps3 /8 z gw2xgt+ ;.gwn. What would be the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixnp tzd:j*)z ubrfp. uv2t 2( jr3g36gxed 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 thzpnx6r v gug2p2b(jz:3t)*f d.rt 3u je electric field from the given charges?

  16.33 Given the config0sd6i sxt)ea2uration of three charges, +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 d062 )stseax ipotential at P from these charges?

  17.43: A semi-circle has radius R, total charge Q, and a charge per iptec ipkd(7n2e4 */q unit length nc7 qk(4 /p idtee*i2p 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?