95.26: Two positive point o;jh-rr4xr*vl7nb v1charges repel each other with force 0.36 N when their separation is 1.5 m. xn;*rlb7jr o4 rhv1- vWhat force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be reakok(4zq 75 ,c*tietb moved from an electrically neutral object *bttqa 5,7kc( 4iezkoto give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of elec m46qo6txx,p a.tc4tutrons in a horizontal wire produces a constant current of 3.20 A6px64t4 tamux,cqt o . 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 fixed in20 d-n6qmj+ 44 sygea(lk pwqn place a distance of 0.50mapart. The electric force thate6qy-sn 2 p+j wq(ng0m l44dak 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, wha (a(xhre1(qbxt is the ratio of the gravitational ea(xxq(bh1(r 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 prot)tx 0p*8vkn72rjr fbr1amz s( on of charge Q and mass M being placed near a helium nucleus (2 protons and 2 neutrons) of chnxjr)pkasm0z7t( v r* rb812farge +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 weight mg is attached tex+2sk cf3 ou1/a6zc f)ye/udo 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 of26/codeueu s/f fza+ky1) 3 cx 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 b k by7.z9z.zo is connected to an insulating 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 paths best indicates the trajectory ofbz kob..y z97z the mass?

  13.29 Two electrons enter a region between charged capac b cefy1n:h*f+itor plates with equal s+eh cbyf:1n *fpeed v. Electron A is directed 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 forc56jh)b;ix f yae of magnitude F on a negative point charge placed a distance x away. If the distancf5)ba xiyhj;6 e between the two 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 w-90efpz es9 mvfpp(6 by a distance R, the force between them is F. If the distance between them is quadrupled, the force betweenf-w0e6(pvsz m99fp ep them is

  03.18: Two identical elect1:o;u7sxa i9dd8geb y rical point charges Q, separated by a distance produce an elecu1 d8ds;7b9a i:oeg yxtrical force 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 2dl//nw rxwr.i* )1 l 9uxdkgvis placed midway between two point charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the force on the c * /iwd/v k1)nu29.grrdl wxxlharge +q is:

  01.31: A positive point charge of :irbi he4 pzr9 fbq9p28yp89p+q and a negative point charge of -q are separated by a distance d. What would be the magnitude of the 9i 8yp p4rqz29b 9:8br fpiehpelectric field midway between the two charges?

  08.33: Two point charges arz0s98x bs1:t ej txmz8e fixed on the x-axis inotherwise empty space as shown below.t b1mt x 0s9zj:ezx88s
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(sm; c / yija/jtigc/3 *qsz:c the x-axis in otherwise empty space as shown i*( /siytqcma; 3c//j jzc:gs below.
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 arrv gv4pp l5j+k+mei. q2anged as shown in the accompanying diagram. At which of the labeled points is the field most nearly zer.ki +g qjp452m lepvv+o?

  98.30: Four positive point charges are arran.n qlf c0 :i6rc/gns3uged as shown in the accompanying diagram. The force between charges 1 and 3 is 6.0 N; the force betcg cn:i60rlu.3qsn /f ween 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 most nearly

  94.08: A point charge of +4.0 μC is placed on the nen 4/rwb w*yk3r i4qvz/gative 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 xnwk /3vybzrqw /r*4 i4-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 wfzo p5c7yu(ie48kb ,q kc0umhw9) 8 a;fa9jepoint 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 char9 ;fuf8k8e4 azka ywbh e )c0w(iou,qp7mc j95ge 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 p5j e ije 9xe837zeet.corners of a 10 cm square as shown. What would be the direejee 89z xte35i. e7jpction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +)m* 7bo*opkxbju, /nrkp; f- mQ, 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, wha,bmm;7 pn*box-pur j)/ k *fkot is the direction of the electric field from the given charges?

  16.33 Given the configuration of three charge5y 2 nxx;7+,i zywdm7/mk)jl kux yyi:s, +Q, +Q, and −2Q, which one of the following choices best represents the direction of the electric field at the poin kzy5nx7x m/kli7di ;y):y2 +xyj, wmut 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 3 l3d 0on dj1y d-pth067simvmper unit length given i3 n-msjhd07dm dvl6ot13 0py 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?