95.26: Two positive point charges repel each other with force 0.36 N whent 8ygnm6: kwg- their separation is 1.5 m. -8w6 n:kg mgtyWhat force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons must beaz y0girk l1 taorf34803jd, l removed from an electrically neutral object to give it a net charge ofjga4 dy 1z8o0tarlk3lri3f0 , Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons ined. 9.kew8x1izaud4c l5 an8r a horizontal wire produces a constant currenr9d5i8.kul. xwacn e 48ade1zt 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 the wire during this time?

  13.07: Two identical particles are fi4 jw4y2 k zku(me;pej0xed in place a distance of 0.50mapart. The mjku j(wpy4k24;z e e0electric 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 each particle’s charge?

  07.25: If two protons are spaced by a distance R, what is the ratio of the gravi91fe kw7lul v*)qh *pqtational f9 lqvk q7)**1hpluewforce 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 experim ,ky(hhv+-kl )p-r pbrent with a proton of 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 experiences the greatest magnitude of electric force from the other and which object experiences the greatest magnitude of acceleration? Ignore gravity. + -rk(lp h-rbpv ykh,)

  94.39: A small object with charge q and weight mg is attacha*ag8 .p3+ fmr 5ho;z6inzuqab7u na1ed to one end of a string of lengn 3 un7 aga bh81afuq6ziz o.;r*ap5m+th 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 is the sign and magnitude of q?

  09.38: A small object ddy +ixgpy;.hj*r97- fu (.;jj j xdqv of 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 vertgq+h.fdx9up; xrvy(jyj j j*d;- d.7iical 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 betweelchclqorl7: m 5g 6/:ln charged capacitor plates with equal speed v. Electron A is directed horizontally to the lef:l7 q o ccl6rh5glml/:t 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 aqpuj;8j ko1z0 tf+it1 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 positivk81o1qpjf;j0+uztt ie point charge exerts on the negative point charge?

  98.08: When two charged point-like objectdygz 1 qni3 65s-a8ekrs are separated by a distance R, the force between them is F. If the distance between them is quadru31 kg nd6aseyz-5q8irpled, the force between them is

  03.18: Two identical electrical point char:q gxe0gfz. x)k;/n xnges Q, separated 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 s/e;.xnnxzq gk 0 x)f:gtrength of
the resulting force?

  96.34: A point charge +q is placed midway between two point charges +3qa7qet78a*c fx9zaw/m 16mo qd and -q separated by a distance 2d. If Co7qo/a q9m e7*azftwxa8cm16dulomb’s constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q angf.c 5-+ 6nd mghlo:nlkwxsp.5nv 7(fd a negative point charge of -q are separated by a distance d. What would be the magnitude of the electric field midway between the two clf: g sfc. gl-5xhdno6 +5k7.vmw np(nharges?

  08.33: Two point charges are fisjz( uq b(,c(;zbz2dt.eu g6yxed on the x-axis inotherwise empty space as shown z;.b(u(gztc 2deuj(y s,zqb6 below.
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 otherwe.h i3bsrd1d6 ise empty space as shown bel3eidb6s dr1.how.
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 -huwz0sf8 f*au3oi/care arranged as shown in the accompanying diagram. Atfsua3-0 ui/wczf *h8o which of the labeled points is the field most nearly zero?

  98.30: Four positive point chargesth s dvr 6703hv3lem.l are arranged as shown in the accompanying diagram. The force between charges 1 and 3 is 6.0 N; the force between charges 2 and 3 is 5.0 N; and the forcehs70h6d 3evt 3.lmrlv 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 +4.0vcs+;: e db -f .wstpwx9h,i:r μC 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 elrh.vb-,ps; 9fexw:ts:dwi +c ectric field at the origin is zero. What is q?

  95.36: Assume the electric poteaa9ki qraz n:le 5;5xv79p7vq ntial is zero at infinity. 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 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. W lrexqa7k in7;:za59v5a9q vp hat is q’s charge?

  03.27: Four electrical charges are arranged o5aytyidw/r0 /s78 gmsn the corners of a 10 cm square as shown. What would be the direction of the re5sy/wst 70 imgd ayr8/sulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in plach,brj x/rhsuhu 5/ u40e on the x-axis, each a distance a from the origin as shown. At the point labeled P, a distance along they-axis fr5 s 0/ubhh/rju,xuhr4om 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, whichy0q( +yh+z.eha 0f cya one of the following choices best represents the direction of the electricyy0hqa++(0 .feacyz h 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, okj45g4o*-4azc bmyy1 r(ls m total charge Q, and a charge per unit length given k-csl4(144*magzbmorj5oy y 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?