95.26: Two positive point charges rxm2;)8dlj cy cepel each other with force 0.36 N when their separation is 1.5 m. What force do they exert on each other when their separation idc lxjy28m); cs 1.0 m?

  12.13 Approximately how many electrons must be removed fry ajd+1 xs(3btom an electrically neutral object to give it a net charge of Q = + 1.00 C ?xyjs13(d +bt a

  13.15 In a circuit, the flow of electrons in a horizth8l+z +4ln ypontal 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 throug ylphn8z+t+l 4h a vertical cross-section of the wire during this time?

  13.07: Two identical parkxt6mr) 8c;se/otsh*.lt j ) vticles 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 Nsrv8tx*o. ; jt6/t) e)cmhskl. 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, j ugu )ehynyo4j+ b2,/im62sz what is the ratio of the gravitatm+e6,2i )4j2ozuybj uy gh s/nional 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 se ij t+3ti +fbb ygmto-;n9s03u5jk/c hts up an experiment 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 cbyt3/+- k +;j ht9si ogj5ub mt0f3niscientist’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 wi gdryb(r.irgzu 5 z67q:mz75uth 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 rzqyrgiru7 7d6 :m5g 5bu .z(zthe 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 and charge Q is connected to rk/rtu+ b n)-/1q;tobdps/xk 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 equilibriusb dtk-)q+u// 1onrx t /pkbr;m 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 *sj7m dsn4wez wib241*a6 dn xenter a region between charged capacitor plates with equal speed v. Electron A is directed horizontally to wjnmine 24szbad4 1s* w 6dx*7the 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 charge exerts a force ofkdwl b9jw,hj3fde 8np68d 2)l magnitude F on a negative point charge placed a distance x away. If the distance between the two point charg 8j8e2l9 wdjpf)kwh,6 b3 nddles 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 pon e06iel-4qnw3qq r5( mlrjno5yxogj1:.p 3o int-like objects are separated by a distance R, the force between them is F. If the distance between them is qo 3- eex4q 1pngril5 mo3yo:jnwr6q.l50nq( juadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a dix s0fpt 5)ig+2ek7 fegstance produce an el+sf f)0t 2igp e7g5kxeectrical 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 mio(w ::mall4k edway between two point charges +3q and -q separated by a lwe:(al4k: mo distance 2d. If Coulomb’s constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q and a6.p1f3fgo z(oomhu8 q negative point charge of -q are separated by a distance d. What would be t1 hgu of oo8p3(mfzq.6he magnitude of the electric field midway between the two charges?

  08.33: Two point chart .hw.;t:x3ac l kdxw(ges are fixed on the x-axis inotherwise empty space as shown axd.cxwh(w. t: ;k3tlbelow.
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-av .re,gzngiedj:3-d 8xis in otherwise empty space as show3: j nd8.izrv,-gegd en 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 shown in the afogt35r +v hc6/ ujol5ccompanying diagram. At which of the labeled points is the field mosj6/ut5c r l5g+ hoo3fvt nearly zero?

  98.30: Four positive point charges are arranged as shown in the accompanying d).j dkxznu9:y )qejlt(sxb ahp 4 :7;siagram. The force between charges 1 and 3 is 6.0 N; the force betwe7y )n xjpxk9.;sjtlsd:)e(bh:auq 4zen 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 61/ pxf*x ;6l gydrkronegative 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 okl gxy;1d *xp/6r6r fof the origin. The net electric field at the origin is zero. What is q?

  95.36: Assume the electric potential is zero at infinity. A poin 6/4xf;l-9rj;ayzpp effx et9t 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 charzja-pffx;;6l9xt9yefr 4e /pge 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 are arranged on the corners of a 1 41xc1dub,cz d0 cm square as shown. What would xzc,ub1d 1dc4be the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Qx..wv2 ktqty6ce 7to( and +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 alongxy6v.tqe k7ct t (.o2w they-axis from 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, which ykbl5s0s/m 8squ0 b5)fwi d1 uone 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 qy0f 1 0i)bukd8smu/l s 5bws5from these charges?

  17.43: A semi-circle has radius R, total charge ds:y ,8fg.xodw lp3 i-xt2op/Q, and a charge per unit length given ag:i28tpy osd-, w/3xo.p xlf ds $λ=λ_0cosθ$ 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?