95.26: Two positive point charges repel each other with force 0.h6gbq (8zbiaobf; mf5 1lq t-,36 N when their separation is 1.5 m. What force dob;(qitba5zbh1 f6mo8- f l,qg they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many elecu5/ 8gjn7 xlnztrons must be removed from an electrically neutral object to gixgl 78z nu5j/nve it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons 6ro+bly9t+1j bb*x mgin a horizontal wire produces a constant current of 3.20 A for a time of 3.0 ho*lx9gj1b+o ry m b+6btur. Which one of the following choices best represents the number of electrons that pass through a vertical cross-section of the wire during this time?

  13.07: Two identical p)2xulb -za(- rzl2j duo::v*iin,w e larticles 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 N. Which one of the following choices best2o a2 l- ni)d: (:r wule,uilzv-jxz*b represents the magnitude of each particle’s charge?

  07.25: If two protons are spaced by a dis2idnmzukn -w,* d8ai- tance R, what is the ratio of the gravitational force that onu w*in nd-d,mi a8k2z-e
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 withbugar l7ky/bh b7p 884 a proton of charge Q and mass M being placed near a heb4gkya/p l87hb8rb u 7lium 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 greatest magnitude of acceleration? Ignore gravity.

  94.39: A small object with cha;no twy ;pno(g f0z4(mrge 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 tpo( fmo;tg ny;(4nwz0he 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 t,z/2zvtl;u2bg0zk lkb bg )d-o 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 an angle of θ with th z20gkt-ukbl,2dzvb g)z; lb/e 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 be;yav.xu; abv *tween charged capacitor plates with equal speed v. Electron A is directed ;vua;xyb*v .ahorizontally 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 point charge exerts a force of magnitude F on a ne;d 1n)b ;y kth(1zs,cmkwovz2gative point charge placed a distance x away. If the distance between the two point charges is halved, what is the magnzkm1ndsovc) ;th( ;2,wz1ky bitude of the new force that the positive point charge exerts on the negative point charge?

  98.08: When two chargejzjce0 j5h+;ud point-like objects are separated by a distance R, the force between them is F. If the distance between them is quadrupled, the force betjuh;+jz 5c je0ween them is

  03.18: Two identicalw/*3btk-)8l( sogndug wv .lr electrical point charges Q, separated by a distance produce an electrical force ofF on one bgd)tw8 g s( l/-3lo*.nwkrvu 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 +3q /kiavc pc(c5p3 vn.m3and -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the famp3.pvk ci/ c(vc53n orce on the charge +q is:

  01.31: A positive poqtze1otu q7p8o ky00: int charge of +q and a negative point charge of -q are separated by a distance d. What would be the magnitude of the electric field midway between tho: z e00y8k1tqqt u7poe two charges?

  08.33: Two point charges are fixed on thyz0x-oq 24 xjfe x-axis inotherwise empty space as shown below4o2q- yj0fx xz.
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 tey 57i4 ,dlk66soefh ehe x-axis in otherwise empty space as shown bi45lk,6oe7hsy efed 6elow.
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 accompanying diagramrg k -sp5y)t8f xy4fg5. At which of the labeled points is th5ktyps r g5-4 f)y8fxge field most nearly zero?

  98.30: Four positive point charges are arranged as shown in the accompan )dd98ixqgr)lr3 jkt (ying 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 force between ctjiql(9 k)8)g xdr3rdharges 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 nega9 i*g,m1k b (*k35lyg1gvqsd gqo+l zstive x-axis 0.20 m to the left of the origin, as shown in the accom( 1lmqbzg l3 1 o+vk qd*gi*9sygkg5s,panying 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 is 2y7sit,r q hvn u04e:uzero at infinity. A point charge of +4.0μC is placed on th e7 4tyur2hqi0,n:us ve 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 net electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical charg0i/z(mf 57ms/dpqg hzes are arranged on the corners of a 10 cm square as shown. What would be the direction of0/fq7mizmz5 gd shp/( the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the x-ax;jmc m se4wiyaidukn w9/14; 58t (qkaw7c0axis, each a distance a from the origin as shown. At04yc d4k 7tw mk8aaj;uxq1iw(e/i n;mw9 sca5 the point labeled 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 of three charges, +Q, +Q, and −2Q, which z7jqb 9q 6 krj2p3x.teone of the following choices best represents the direction of the electric field at the point P and the sign of the electric potential at b rt z7xqjpqk32j .9e6P from these charges?

  17.43: A semi-circle has radius R, total charge Q, and z3 80nwy5b 1ktlgz zd3a charge per unit length gbzz183yltwd0 nz53kgiven 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?