95.26: Two positive point charges repel each otr:8nofcx3a+ n6 f;jabher with force 0.36 N when their separation is 1.5 m. What force do they exert on each other when their b+3frn afnaj: xc6;8o separation is 1.0 m?

  12.13 Approximately how many electror 7,7idgv 7u 1g4svgtxns must be removed from an electrically neutral7ggir sd, x7 v147vgut object to give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of5kepvh o.1npsh8w3-w electrons in a horizontal wire produces a constant current okw13pvhwhs p e8 .o5-nf 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 this time?

  13.07: Two identical particles are fixed in place a distance of 0.1wtcpl30 tu /pqht 28b50mapart. The electric force that one particle exerts on theul1qtt bt28hc0w /3 pp 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 gh dgmt zg 0/;5y85fndratio of the gravitational force that ontn08 d gghmz f/d;y5g5e
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 anorw qb9( ofhcfw0o+)+d 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 greab r9)ch(+w o +owfof0qtest 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 attas hhj4u 5);p+tt -dine()sbq nched to one end of a string of length L. The other end is attached to a stationary support. The system is plj +nsnutbh)h45et(ps d) -;iqaced 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 connp/ y4o-y h;qptected 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 vert; 4-opt/h pyqyical 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 plates wi l/jwa+dn u m;8m9*fppth equal speed v. Electron A *8w a/nljmmp+; ud9fp 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 force of magnitude F on a negative ds o/0yyw5ouu,s. t9v point charge placed a distance x away. If the distance between the two point charges is halved, what is the magnitude of the new force that the positive point charge exerts on 5v9yw u, s uy/toods0.the negative point charge?

  98.08: When two charged point-like objects are separated by a distance Rys(mi4: -x4zbfeqga z oi/d95, the force between them is F. If the distancmfoa:x9bq(ig44ez 5-z yds/ ie between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a distance prod216ci(g pz2ro8 nhp9, lc nnihuce an eleopzh 8r6h(ni2i np,2l1cnc9 g ctrical 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 0gm3sgtp,/7n - ekt hty9w5bz is placed midway between two point charges +3q and -q separas, 3t7/bz0k 9hgg ne5ytmt-p wted by a distance 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 -n v*vic65mrwjb4 ms( negative point charge of -q are separated by a distance d. What would be the magnitude of the electric field midway betw v4ism5 cm*v6 jrn(wb-een the two charges?

  08.33: Two point charges are fixed on th3pnq -vw1s5u ze x-axis inotherwise empty space as shown below. 1zq5 wsuv3 pn-
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(et; ci(2imqyqloo +. fixed on the x-axis in otherwise empty space as shown2 .cyoii((q; leqom t+ 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 –4l 9wm54bsnkizimv (5t)u l9/vewd,bwf* r/l ,Q are arranged as shown in the accompanying diagram. At which of the lab*vi itre sl4uwb)m/k ,5(zlf 9m9 lnv,5/wdwbeled points is the field most nearly zero?

  98.30: Four positive point charges are arranged as shown in the accompanying diu/jn4 nk 8x,a3dxjpu8agram. 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 most nearlynajxd 4x/8 u k83pnj,u

  94.08: A point charge of +4.0 μC is kqj *z9o5z :fzj.fqyoh0 8r,f:yt*zyplaced 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 mto the right of the origin. The net electric field at the origin is zero. W:f9yz,fjo.z *hytqy5*:kqz 8j z 0ro fhat is q?

  95.36: Assume the electric potential is zero at infinity. A point charge ofoj:*e4t8w d9 ghq hwzh7at ;;n 6tmyg1 +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 pjh6 4tt*q7ez1ww :g;no 8 y mhh;atg9doint 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 -dma;/ 5.wbv cndth2ht 2n e2mcm square as shown tn2m bcvnmeh.wa;ddt5h2 /-2. What would 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 x-axis, each a4r vtf7 wgw,3k4 )vuvn distance a from the origin as sho)vg 4tn37 vkfwur4 v,wwn. At the point labeled 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 charges, +Q, +Q, and −2Q, which one of.z n ,k2srbg8m8 ,vnxw the following choices best represents the direction of the electric field at the po82z nn.mb8sg,w vr ,kxint P and the sign of the electric potential at P from these charges?

  17.43: A semi-circle has radius R, )9x s4aecc(nz8 kcg-mtotal charge Q, and a charge per unit length gics8ec)k a (4-gczxm 9nven 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?