95.26: Two positive point charges repel each other with force 03nx gq,z d iik61*1yga.36 N when their separation is 1.5 m. Wiiyqx*zk3n dgag1 1,6hat force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electron xtyax0r; 9,eds must be removed from an electrically neutral object to give it a net charge of dt0;yx, a exr9Q = + 1.00 C ?

  13.15 In a circuit, the flow of ehd0(fmgvh , l.lectrons 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 verticald gv0hl,h mf(. cross-section of the wire during this time?

  13.07: Two identical particles are fixed in pixq+ xrg:7f * fqt.wp8:d, zcilace 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 magnitude of e 8d7: p+r:xfq wi .gqzt,*ifxcach particle’s charge?

  07.25: If two protons are spaced by a distance R, wh6neln*6pue hh d8a wm)xd8w 11at is the ratio of the gravitatiopax muh w l*e n8de6d1861hw)nnal 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 experiment with a p*it xuf/ cd1pkox c)m1vy9c(a*7e8t sroton 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 sc8mykcv c *u(dtp1te)*c9f7xx/1i s aoientist’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 chpgi ;7s+bizj 2zt: oxk1(g.ov arge 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 a constant angle q with the vertical. What is the sign and magnitude of qo sg(z.z jo vp;t:x+igb21k7i?

  09.38: A small object of mass M and char j(lujhe0/7h c,jul8yge 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 y(jul8jchh lu/j7 e0,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 chz5z2,ob*1/mac ph zt6xrtt-l arged capacitor plates with equal speed v. Electron rhpz,l-6m2a *o x15/tbztctzA 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 pomhs4n;e0jw8.rx 7kpu int charge 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 negative poin x8.;w pe7hjn4ruksm 0t charge?

  98.08: When two charged point-like objects are s2ze0l,akb mu: eparated by a distance R, the force between them is F. If the distance between them is quadrupled, the force between t:a2b0 ke,lumz hem is

  03.18: Two identical electrical point cha l) .o/0pbanmrrges Q, separated by a distance produce an electrical force ofF on one another. If the distance is deaprn/.0)bml ocreased to a distance of 0.40, what is the strength of
the resulting force?

  96.34: A point charge +q is placed midwau)pv7l+ph. fn.n4 pmbs jzh 6)y between two point charges +3q and -q separated by a distancppn+)j.vupzn.s h 6mhl 4)7 bfe 2d. If Coulomb’s constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge ofpe f*t+ tj42aa +q and a negative point charge of -q are separated by a distanc+t2f4jatp e*ae d. What would be the magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise edg *(8*eaa-c qv;k lqhmpty space as shown*c8(-vae l hag*d; kqq 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 r0rf* q1phnwvh,ly 29fixed on the x-axis in otherwise empty space as showy0* rr,p1lq2 hnhfw9 vn 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 ao+x4f3hazu2yl kg0ybv4 z(u0 rranged as shown in the accompanying diagram. At whloky42z4 xzyh3uf u0 (bg+va0ich of the labeled points is the field most nearly zero?

  98.30: Four positive point tfh g2x. tf5r2 l9gfm/charges are arranged as shown in the accompanying diagram. The fog 259thf t/x.lgfrfm2 rce 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 nearly

  94.08: A point charge of +4.0 μC is placed on the ne0ncg7 7+ljw jqq n (5qv3die,tgative x-axis 0.20 m to the left of the origin, as shown in the accompa,j5 3 qv+ cqntjqle7i0d(7wgn nying 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. What is q?

  95.36: Assume the electric potential on.2m p8h0 -v4fflfe pis 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 nef4-lopf0 v2 e8p m.hnft electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical charges are arranged on the corners; 8vfxv7xrvc9 of a 10 cm square as shown. What would be the direction of the rvvc7;xx 9fv 8resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q,gmt3(r1aehfs1 q 1oi/ 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 dirtai3o1/hreqs 1 (gm1fection of the electric field from the given charges?

  16.33 Given the configuration of three km(ee2ygwf7 7 charges, +Q, +Q, and −2Q, which one of the following choices best represents the direction of the electric field aw(fme77g2ey kt the point P and the sign of the electric potential at P from these charges?

  17.43: A semi-circle has radius R, total charge Q, and a ch5 (lillfn gi70arge per unit length ( llg7 5nliif0given 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?