95.26: Two positive point charges repel each other with force 0*uz5 q3bewlyiwr(d, (k2mc.r.36 N when their separation is 1.5 m. wdw5u( l(emy rkqr,.*i2 3czbWhat force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how wm0vjii1:ua- many electrons must be removed from an electrically neutral object toimu :01vaj i-w give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a horizontal wire produces a cows zf: z7t7(zxnstant current of 3.20 A for a time of 3.0 hour. Which one of the following choices best represents the number of electron zfwx(7t7 zsz:s that pass through a vertical cross-section of the wire during this time?

  13.07: Two identical particles are fixed in place a distance of 0.50mapaei7p7akv 7qow4w4ld 0rt. 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 magnitude of 7alw474oi dv kew07q peach particle’s charge?

  07.25: If two protons are spaceend..* 5gr86b ytokrt d by a distance R, what is the ratio of the gravitationa*e5.bg.ykorn 8 6 dttrl 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 ofaa.he;.kx+ba e1wa i6 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 e+6xeaa1hia k;abwe . .xperiences 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 a*odmkk 0:u-zend weight mg is attached to one end of a string of length L. The other end is attacuok*dze:k -0 mhed 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 vertical. What is the sign and magnitude of q?

  09.38: A small object of mass M and charge Q is connected to)* wnyh6vfm7t an insulating massless string in a vacuum on Eav6 7 *fwtnh)ymrth. 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)/tz ( b*4ty2,qgfqg bj7pjkk a region between charged capacitor plates with equal speed v. Electron A is directed horizontally to the left while*(b /tgq)4,yk2pt7j kjqfbzg 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 magc 6z-6i/ sk i+h-vnxn 4sleko6nitude F on a negative point charge placed a distance x away. If the distance between the two point charges is halved, what is the magnitude of the nhoknnzc ex/ks s6i6i+-l6v4-ew force that the positive point charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated by a dist+x/l qlq+ x/) a-o/dhhk vxvbb u(0q;m hkuv48ance R, the force between them is F. If the distan0(l qa v)8vk-o l/bqm/x+h/qdhuvuxk ;4b +hxce between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a distaodxxatkpr2 7p5c+ i km3pt:+9 nce produce an electrical force ofF on one another. If the distance is decreased to a distance of 0p:o 5dptcr2xk+97 k3xip+m ta.40, what is the strength of
the resulting force?

  96.34: A point charg,1d,wal gu9 ul6feumihj-. ( ee +q is placed midway between two point charges +3q and -q separated by a dista.ui6el-1 ah(fg m,uwdlu, 9ej nce 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 and a negative point charge of -q a-/db0ti7m wdlre separated by a distance d. What would be the magnitude of b/mtd0lw d7-ithe electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise empty space as shojd tfj.8a.b 6cwn below.8fd.tc .6 jbaj
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 oajt* nty2wpc m lb*:r(g3, 3vare fixed on the x-axis in otherwise empty space as shown be*w tn3 c2(t3yv olj: *,pgabrmlow.
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 dielsy5c btmzh )jx9t; t617v b2agram. At which of2lxb1z ttcy 5v) b6j9mshte7; the labeled points is the field most nearly zero?

  98.30: Four positive point charges are arranged as shown in the ak yj54 zylgiosh0dt2 s3z745n ccompanying diagram. The force between charges tl2dygo7n4ss5jz5i 4kz0 y 3 h1 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 most nearly

  94.08: A point charge of +4.0 μC is placed on the negative x-axis 0.20 m to the y:iyxs/y6f6 a left of the origin, as shown in the accompanying figure.6sa6/ i fy:xyy 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 infinlk3jkse: br :e4euqw), :t4adity. A point charge of +4.0μC is placed on the negative x-axis 0.20 m to the left of the origin, as shown in eq4j a,r)e4: 3:used klwb:tkthe 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 char9j /b7eog9ua um2 5ifvges are arranged on the corners of a 10 cm square as shown. What would be the directiou uj5 gaiov/9 b29fme7n of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in plaxiu/g/jat/gd5 :e9 zqurt05 ace 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 theja atigezdg5u5 xr/t :q/u0/9 direction of the electric field from the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, and −2Q, which one of t0gv()7 d -t *dinaun)uk imz-lhe following choices best represents the direction of the electric field at k u gu-*0linma7it) z-v( )ddnthe point P and the sign of the electric potential at P from these charges?

  17.43: A semi-circle h g.x nnz v9 :3b)-2wxwnqicf,qas radius R, total charge Q, and a charge per unit length giif9nvw bx.nc3 ,2xng)z-:w qq ven 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?