95.26: Two positive point charges repel each ot4g ifwh6ou 76q9 zys8yher with force 0.36 N when their separation gqs6o hw8z4i6 u9f7yy is 1.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many:h)wz -8* np bxt5q7l swt;tmafqlr1g18w4md electrons must be removed from an electrically neutral object to give it a net charge of8xnz-8hmb *g )l 4;: ptaq7tlwq11rwfwsd 5tm Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a hormz0b 2xw bf/nw0fithk lfe ;i:6iu:11izontal wire produces a constant current of 3.20 A for a time of 3.0 hour. Which one of the following f;n w/b00i:11iu l2h:ifw e xkfzbmt6choices 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 ofuh 3c*97 .pnyrfleof; 0.50mapart. The electric force that one particle exerts on the other has a magnitude of 3.00 N. Which one of the followinln e7yhof9c; pf u.*r3g choices best represents the magnitude of each particle’s charge?

  07.25: If two protons are spaced by a distance R2/vf f 3x7obgj, what is the ratio of the gravitational force v 7f/of2g3bjxthat 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 qwgu(8 s9/covg+. r p5n . cxgi;5mmeav)kol6 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 gcos5w6i rka )x95 +( /gu.g8.neclpqmo; vm vgreatest magnitude of acceleration? Ignore gravity.

  94.39: A small objeckl0(-npu- sy*tp a;lkt with charge q and weight 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 presence of the field, the string makes ul-kpl(;ys 0-kp n at*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 connected to an inev(lde8 a 6tq6 xpkr10sulating 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 best indicates the trajectory of the mass k1del8 6apxr0e6q (tv?

  13.29 Two electrons enter a region between charged capacitor pl2)sgb*8xnc zisctb: *7k t n-t4-sj isates with equal speed v. Electron A is directed horizontally to the left while s-ki )bgstc7t*zsx :8i t-nnj4*bc2s 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 :.t 2gpgxukm6a 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 p upmg gk:t6x.2oint charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated by a 0mkbv0w msa 5z e-j4, 6jz.vsldistance R, the force between them is F. Ifw0,6mvjs ekmz 0 -4jasv.bz 5l the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separatedeqrk p 5-0kxu: by a distance produce an electricq5puk xe0:-rk al 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 placr oaxlp20xaa*j*nk7pf,7tnt6f u 94 sed midway between two point charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the force on tnp0stpxx r7katu2* ,lj4n76 o*a a9ffhe charge +q is:

  01.31: A positive point charge of +q and a negative point charge of -q ard0tg.6yc -+*tvcd h j )gvs3rfe separated by a distance d. What wo- gscv j*v f0+c36.drg)t hdytuld be the magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed mbbci ,n /o1.fqf3js,on the x-axis inotherwise empty space as shown below. f cm3/1b.sj bn,of,iq
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 asx02tfn3,mlvxv i41 xl sho2vlxix,0 xntf1 3m4v lwn 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 arra5fenejw) n2- gm)od( bnged as shown in the accompanying diagram. At which of the labeled points is the field most nearly zero?odmw2eb-j(egnf )) 5n

  98.30: Four positive point charges are arranged as shown in the accoh *wzo3 5fpanohwd m8/cti7 7-mpanying diagram. The force between charges 1 and 3 is 6.0 N; the force between charges 2 and 3 is hzd /5im7coap8ht w 7w nf3o*-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 3 k6 zz,. ;bq:odyb)avt5k3udnefiq3+4.0 μC is placed on the negative x-axis 0.20 m to the left of the origin, as shown in the accompanying fb3q u)zyfkd3b.e;:kiva3, 5 ndot qz 6igure. 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,y;eq .1em)v bwk 3ihk 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 e1h;w3m .bkq )i vk,yepositive 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 cmno e/r-q7l.k s square as shown. What would be the directelqn7-o/rk . sion of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are 5l+6 5wzcpfdcvmv ).e ct(a1g fixed in place on the x-axis, each a distance a from the origin as shown. At the point 5v.l cat(e zvc+wfp gc6d5)1mlabeled 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 otu(u3zz *9ns6psq v ,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 potentialu( 9psz3t 6ozv, qnus* at P from these charges?

  17.43: A semi-circle has radius R, tott6um a5he,gut80b+o bal charge Q, and a charge per unit length given a 5a8 mg0be out6h,+tbus $λ=λ_0cosθ$ 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?