95.26: Two positive point charge v*/mv.ff; rhls repel each other with force 0.36 N when their separation is 1.5 m. What force do they exert on each other whe. rfm ;fl/h*vvn their separation is 1.0 m?

  12.13 Approximately how many electrons must be lowsqk u ifu ,d53t0r:((g.r oremoved from an electrically neutral objqutr3:wodr5igo(ls(0u,. f k ect to give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flzey zx3xk4oy22z 0bod, oo5h)ow 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 choice2hd 3yoxb0xz45oz2)y zoe ko ,s 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 of 0.50m+e* m3lvmcot- apart. The electric force that ove mt*ocm +3-lne 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,p q1k5kp:cd9ye2m trs :;b;z y what is the ratio of the gravitational force that oneq1bk 2ypm dprz :y9ec:t5sk ;;
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 exp- ab2wzb+ q pf,nspq9d;z7r6g eriment 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 ean 6z;+w7gq,2szbqp d9b r fap-ch 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.

  94.39: A small object with charge q and weight mg is attached to one ::bbc40dar hug)p)dj u f+h3hve v71xend 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 p4rb)1hh7h+ax3v:d u bcjgd:0) fevu 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 xh f4e),tw/l7m2esmw charge Q is connected to an insulating massless string in a vacuum on Earth. A uniform electric f m,fe/ wth 7me2x)4slwield 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 betweenivbfrsabj6( . q883k r charged capacitor plates with equal speed v. Electron A is directed horizontally to the left while electron B is diar8vfbiq.(b86k3 js rrected 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 a ne8s/kxmptw 4a,yt l*6 xgative point charge placed a distance x away. If the distance between the two point charges k/ax w mp4*,t8 t6yxslis halved, what is the magnitude of the new force that the positive point charge exerts on the negative point charge?

  98.08: When two chargesyjjzpu-wsp)qcv 1;2 b)yv65;lgfoi3y*a (pd point-like objects are separated by a distance R, the force between thwb)gp1j fva;l-;ycz( ys)j i2*6oup3vqsyp 5em is F. If the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separatea cwk.d nu/5(jd by a distance produce an electrical force (.j /wadk 5uncofF 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 between two point charges +mi (2zlso k)y8c ;x:dp3q and -q separatedy8z c kis dp2m)(x:;ol by a 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 + *i;/8jsw ufi hv257 amupmj/gq and a negative point charge of -q are separated by a distance d. What would be the magnitude of the electric field midway between f jpmm7ia*h/2s5w/u g juv;i8the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise emptyfj+ 8dx*c/dzf space as shown be+fd*xfz/d j c8low.
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 otherwisgok .cqfrsu o4--6k, le empty space as shown below. su4g-6oo c.l-qrkk, f
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 accompanyinh9ywp3 qx 4u:ng diagram. At which of the labeled points is the fieldhun: qwy9p3x4 most nearly zero?

  98.30: Four positive point charges are arranged as show i-mse nu;1r5u q,*csnn 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 forc m e-*q5 snrun;sciu,1e 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 (,f fj .9tnf/ .hpdes7,vv hom+4.0 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 electric ft/d(.ff n hhp9 v.oem,jv7s f,ield at the origin is zero. What is q?

  95.36: Assume the electric potential is zero at infinity. A point charge of9ejbpp/dn*+ g +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 origij+9 ebdng/p p*n. The net electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electric4/mkas a.2 /o;hips ijal charges are arranged on the corners of a 10 cm square as shown. What would be the directipa2j hisksm/i4 ;.o/aon of the resulting electric
field at the center point P?

  14.10: Two charges −Q andz xhnfo3 a g8g l1fa/(795eqov +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 fv9qzgaaeo3lhg5 (of 71n/ 8fxield from the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, and −2Q, which one 5mzp8 r ras-5:ytx+a dof the following choices best represents the direction of the electric fiel5x:yp5 -s tarmd+ 8rzad at 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 charge per unr9e nx8to9x xc rme083it lengt0x 88tc39xx 9m nereroh given 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?