95.26: Two positive point charges repel each othot*rbg, 7m +poe- -uwzwh i)/rer with force 0.36 N when their separation is 1.5 m. Wr)izeh tb,*ou rwmg +/7wo- -phat force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be removed from an 2gb)pu.( i.zl dd*g tzelectrically neutral object to give it a net c 2 t*)zid.zgubd.p (glharge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a hornp p,h -hne,8i +4lynke rm0y p*n(g 5plrdi8.izontal 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 electrons that pass through a vertical cross-section of thhg.nd5rp e-k4lpey*m,lp yniih pr+n80n8 (, e wire during this time?

  13.07: Two identical partic/z88goyxjq g 6les are fixed in place a distance of 0.50mapart. The electric fzg8jg6o x8qy /orce 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 thjvc;te kz -./.ym1d4 riq0ydre gravitational force tha.dqyr j0yrk - d/me.4;cz1vitt 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 o 2 /4gx; e.1;o*goqlsecihtz 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 thcsi12.e;xo o ghtl4;ge q o/z*e 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 wevo(: t7q nl0ndight 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 predqvo(n nt7 :l0sence 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 su jk s(dy:89x mass M and charge Q 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 r8j 9 (us:sykxdemains 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 a9gw m).1(cz wd mv. znss,ldeq5yp,n) region between charged capacitor plates with equal speed v. Electron A is direc)m5,gdps.n.)vldm1ywz( e c 9sn , wqzted 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 rm ),,mm2y: fcn3pnrq magnitude 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 new ncrrp,n):2y mm 3 mq,fforce that the positive point charge exerts on the negative point charge?

  98.08: When two charged point-l4i9(hx+u cip xk)swym*z ;:kkm ly:0s ike objects are separated by a distance R, the force between them is F. If the distasus xi yz4;i(p : y:0*+9whkmlxkm)kcnce between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separatedx,p vqeb/j5k . by a distance produce an electrical force ofF on one another. If the distance is decreased to a distance of 0.40, what is the stre,.epj5bvqx k/ ngth of
the resulting force?

  96.34: A point charge +q/;cbvsh+j +d/aqr t ;f is placed midway between two point charges +3q and -q separated by a distance 2d. If Coulomb’sc/+f aqvb dj;/r+sht; constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q and a nega*kr i,x5q e5p jhom5(ative point charge of -q are separated by a distance d. What would be the magnitude of the electric field mi 5x5 ormh,kae(*qj5pidway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise empty space cp27zj*t tbde ax5 .5cas shown below.7t ax5bd5e. *j2cc ptz
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 a zgc4nh/ qhh/z)y4qy;s shown below. nyh;4hq 4zgqh/y)z/ c
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 arrau faub.j)41cbnged as shown in the accompanying diagram. At which of the labeled points is the field most nearly z.ub)b4 j ua1fcero?

  98.30: Four positive point charges are arroob+ .pdqv8.s65ee)2ap7qwh dmk 3r eanged as shown in the accompanying diagram. The force between charges 1 an8v6d5 m )sop+ee 2a rbw3.okd.eph qq7d 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 px(arh n9-v+ hdlaced on the negative x-axis 0.20 m to the left of the origvh- nr+d9hax( in, 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 electric field at the origin is zero. What is q?

  95.36: Assume the electric potential is zero at infinity. A point charge erfc *+ o mv(npm(,:kxy:iv.bof +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 on the positive x-axis 0.30 m to the *inx( :+ , vce.b:(kym pfvmroright of the origin. The net electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical chargemo)du i(l1g*z.ces :njhz l,8 s are arranged on the corners of a 10 cm square as shown. What would be the direction of the r* gczn,hueidl .jz(o81 l s)m:esulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the j .(2efhlqn8j-lzp s 8x-axis, each a distance a from the origin as shown. At the point labeled P, a distance along they-axis from fn-8shelj zq.2p(jl 8the origin, what is the direction of the electric field from the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, and −2Q, which one of t.n/2 xgz2uaxb30 i ccahe following choices best represen 32uxiz2 c0.gnaxabc /ts the direction 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, total charge Q, and a charge per un+ qg smlw4;m/nit length gm+nlsm;q/ w 4given 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?