95.26: Two positive lj, j3 t(3fkofh(u pn :;l-scdpoint charges repel each other with force 0.36 N when their separation is 13jufh 3n-lftc;(d, lpjos :k (.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be removed from(e8u8p/jlw3/5 4gv olpv x gic an electrically neutral object to give it a net charge of Q = + 1.00 C 4/ ogc8uw( p3pg ij5v vl/8xle?

  13.15 In a circuit, the flow of electrons in a horizontal wire producescqm2*9g occs5m .ym6cvt) w,w 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 thrcc*c 5 m w,o 6qmwvm)g.9styc2ough a vertical cross-section of the wire during this time?

  13.07: Two identical particlesatgjo2 zeg f 91y:w7d 2+o)qoj are fixed in place a 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 magnit+e2g2z 1w9o toaq 7yj gj)do:fude of each particle’s charge?

  07.25: If two protons are spaced by a distance R, what is the ratio of the.(li l9rjz e.k/gg5y hs2tyf+ gravitational force th rys9el(/gji2+y th z.fl5.g kat 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 Mua u5trv zw7534o.n am being placed near a helium nucleus (2 protons and 2 neutrons) of charge am nv4.u35 wtorauz75 +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 atvz6; 5ddnqbq 6vn c8g+tached 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 presence of the field, the string makes a constant angle q with the vertical. What nzcbq68 dvv+gqn5 ;6dis the sign and magnitude of q?

  09.38: A small object of kl; h9r8evo -(wa/ xtl-eu-qn 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 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 bere( huwxt-v k98l/ql- ao-;enst indicates the trajectory of the mass?

  13.29 Two electrons enter a region f,f2xnq +j -jtkm/ff1 1bhhp3between charged capacitor plates with equal speed v. Electron A is directed horizontally to the left while electron B is direct3 kpfj +f1m,h 12tfqxbnfj /h-ed 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 charge9m1h ,phn z:ai exerts a force of 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 force that the positive point charge exerts on the negativ,hp zam1hn9i: e point charge?

  98.08: When two charged point-like objects are separated by a distance R, the fha3 a2fsg1z( p11v, uhyxe9 oporce between them i(, pahxzg ouf2h1ep3a 1s9yv1s F. If the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges dyoq3)si oru:,o, x6 bQ, separated by a distance produce an electrical force ofF on,3bxo, i:sdr )o quo6y 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 p sei5c44wp9u +q is placed midway between two point charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of thecis5 4w4u 9pep force on the charge +q is:

  01.31: A positive point charge of +q and a negative point charl(o;ithh- : rgge of -q are separated by a distance d. What would be the magnitude of therhltgh- :(; oi electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inothef4 6)r9 ozqccgrwise empty space as shown q)c 6f 9ozg4crbelow.
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 othe2oxelq91 ree/rwise empty space as shown below.x eleo/12e q9r
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 a81uohsi0u,/) ,wp xdao:lr ngre arranged as shown in the accompanying diagram. At which of the labu an 1l)0 g,:8xu o,h/sipowrdeled points is the field most nearly zero?

  98.30: Four positive point charges are arranged as shown in the accompanying di,nom :/8rimg6 fj/vkwagram. The force between charges 1 and 3 is 6.0 N; the forckwimvrogf/8,m n6/j :e 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 6) w;xy9mu/y3mt9op eyrw rw0μC 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 mto the right of the origin. The net el uomrx9w0 e/ tmyw)9yyr6w;3 pectric field at the origin is zero. What is q?

  95.36: Assume the electric potential is zero at iy)b8z krpdxbf9jdu y 9v1dn-l8t 1 4)fnfinity. A point charge of +4.0μC is placed on the negativd8fv-b zr8u9)tdyf)91pk b1d y4jln xe 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 right of the origin. The net electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical chgnyx 98e 27vb+tn;tqd arges are arranged on the corners of a 10 cm square as shown. What would be the gbyn+;nt2 7 ex8qdv9tdirection of the resulting electric
field at the center point P?

  14.10: Two charges −Q b c+4h;;z s cvo rr1*k2ry*exwand +Q, are fixed in place on the x-axis, each a distance a f1w +cs*kh;xrer2rcb ov;y z*4 rom the origin as shown. 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 thre6d qyux4f c+h8e 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 potential at P fryc68 x4h dfq+uom these charges?

  17.43: A semi-circle has radius R, total charge Q, ara1 lz8 :ambm pt:k9d3nd a charge per unit length g:rpat:8azmm9 31b ldk iven 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?