95.26: Two positive wt-l(iwha*k9 x n pgtrsl+ +2/point charges repel each other with force 0.36 N when their separation is 1.5 m. What force do they exert on each other when their sepll wiw tt/ +-( agk2n*srp+hx9aration is 1.0 m?

  12.13 Approximately how many electrons mushqob2)e cpk8lz5px; )t be removed from an electrically neutkb h2p x5z)pq 8elo);cral object to give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the fv)c ;sotu1y v,low of electrons in a horizontal 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 cro1t cvvou,)y; sss-section of the wire during this time?

  13.07: Two identical particles are fixe8zx vsum zm(s2m.)pcmpx0( r .d 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( ucpsx).s x8pm.0m vmmzr(z 2 the magnitude of each particle’s charge?

  07.25: If two protons are sa* b )2/5 prf;e22ifahtrj rwqs- u(ktpaced by a distance R, what is the ratio of the gravit w5pfru ik/*)hq ajr2tb 2-re;( ft2asational 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 experi 6wekstw3cn+j*r cx x/fx f3-*ment 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 63tw *xn*r-x wkxc +f/fejs3cbest 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 attachedys:1ifj0q jr*.h3ivg to one end of a string of length L. The other end is attached to a stationary suppor:.yjjh 1g*q s0rvi3i ft. 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 a)atlkpke4qk h u,mj grl365s 35 i(c:und charge Q is connected to an insulating massless string in a vacuum on Earth. A uniform u(3mq c 43slg:a6tp5 klkhuri)j ,ke5electric 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 a region between charged capacitor pr9s,y2 w.rjek e/zsro5(a: xm lates with equal speed v. Electron A is directed horizontally to ermw5yx:a/sk 29zre.o(,r s jthe 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 cht:+gt 185m mg meyd0owarge exerts a force of magnitude F on a negative point charge placed a distance x away. If the distance b ygoe t5m81 +gt0w:mdmetween the two point charges is halved, what is the magnitude of the new force that the positive point charge exerts on the negative point charge?

  98.08: When two charged po+q2i1u 2clw:f8vmd 6 -egbl0wklm mi1int-like objects are separated by a distance R, the force between them is F. If the distance between them is quadrupled, thekgi86l fqli 2lm 0- uwbcm11:e2mdw+v force between them is

  03.18: Two identical electrical point charges cjh59w9amfp,p1rhfj 1tqe h5-tmf16 Q, separated by a distance produce an e6 h 5pf9 j fjt11mca-t19whfeq5phrm, lectrical 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 is placed midway dxcoe2 7q i95lbetween two point charges +3q and -q separated by a distance 2d. If Col72 xi59 eodcqulomb’s constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point c .5 myba q46-hf1varscharge of +q and a negative point charge of -q are separated by a distance d. What would be the magnitude of the electric field m5m6c4raa1q.f by - svhidway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise empty space 26 xx xq+1x(/xvheh7.r nolrlas shown below..v7 /x n6xo2xeq x1r(x+hlhlr
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 ptw-yr.1 2 cur:szw+8bz jvv1fixed on the x-axis in otherwise empty space as shownc t8v1vu r.w z1s+2: zrb-wyjp 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 –4Q are arranged as sh ,nt k5m);qfbb++wasye+* yd iown in the accompanying diagram. At which of th)w+b +i eq ynk,matbs*y+5f;de labeled points is the field most nearly zero?

  98.30: Four positive poinl53tm8 ,gwqkdle/7l jt charges are arranged as shown in the accompanying diagram. The force between charges 1 and 3 is 6.0 N; q,7/l dglm58 3 kljtewthe 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 0rpo5:g .g8-3pxu v slg.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 0.3 -8x:gvug.prps5 l3go0 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. u r7 :nzf z7f;gy;w1laA point charge of +4.0μC is placed on the negative wuz;ly1r; z7f g:n7a fx-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 charges ar(txp.0e0x,q9m hlj q me arranged on the corners of a 10 cm square as shown. What would be the direction of the res lxmethx( 00p 9mjqq,.ulting electric
field at the center point P?

  14.10: Two charges −Q ansefm- 7 ukg320s oatyi2sxn+ .4qkx* rd +Q, are fixed in place 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 the direction of the electric field from the given chi0-s+uxo s4m7 *kts 2fg xqy3ae2r. knarges?

  16.33 Given the confhh2 1yz63jzshh62ah0 79nj auvjifv 4iguration of three 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 fro hzhhjsjf vahvai3n z0uy26j624h9 71m these charges?

  17.43: A semi-circle has radius R, total charge Q, and a charge per h(3rbu24 uhchz7 k zk9 rebw*3g h6d(junit length gkd hhz4(kg(ru jr7wb3z236*h h be9uciven 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?