95.26: Two positive point charges r5o e,t n+hwt9eepel each other with force 0.36 N when their sepa h,wo+e e5nt9tration is 1.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be removed from an elecei85bfb 8foq. trically neutral object to give it a net charge q.8 f8i5fe bobof Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in: ow,x(gg v9f ,fbozk3)7noytak69v n 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 represenw:obxtz,vn9,(9n o 7k6of yg)fvk g3ats the number of electrons that pass through a vertical cross-section of the wire during this time?

  13.07: Two identical par) cbny.dt bc1*ticles 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 best represents the magnitude of each part)bc.dt *b1c nyicle’s charge?

  07.25: If two protons are spaced by a die 0s ,ote*frx5stance R, what is the ratio of the gravitation ,*f s0xt5roeeal 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 with7oha/bq ix 1rgi+ 6j(tz:4uz6yag v9 d 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 scientist’s point of view, which choice best describes the object that experiences the greatest magnitude of electric force from the otheidoagaug (r1 v76/izyj46xb:+q zth9r and which object experiences the greatest magnitude of acceleration? Ignore gravity.

  94.39: A small object with charge q and *ls srbu, b7i0weight 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 7 u0i lbbrs,*shorizontal 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 q?

  09.38: A small object of mass M and ch+5l, r9wf6c ;jjwr za.*pyypearge 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 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 trajectoy.9w6rzj py+e,w lc;a f5r *pjry of the mass?

  13.29 Two electrons enter a region between charged capacitor plates with eque v:/:i);;q kn/gzss yhw/uhral speed v. Electron A is directed horizontally to the left while electron B isuyez /:ghr)/n shkiw : vs;q;/ 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 forcear, .j.fpzw - 94fglju 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 cjpf .jlg r-uwf9z4a. ,harge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated by al6exw/ w0fgb- distance R, the force between them is F. If the distance between them is xw b60/gwlfe- quadrupled, the force between them is

  03.18: Two identical electrical p as npc 3j9c.sk9c(:)v hq-vumb+ -vepoint charges Q, separated by a distance produce an electrical force ofF on one another. If the distance is decnuas) .-v+ 9sp(3-9:vpccehb k q vmjcreased 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 +3q1i0ast(lj,jy and -q separated by a distance 2d. If Coulomb’s consjt s i0ay(1,jltant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q and a negative point charge of -q2i zbiao8pjbx 6.g; /nk njj/*xxk/e4 are separated by a distance d. What would be the magnit/ agk o*j; /zp8bi/bxkej4 n.6xi xj2nude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-ax5-vlmwe. 2gg* )t0p diw h8chcis inotherwise empty space as shownhwt*8.m5c0pih 2 ) lv wdgce-g 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 fixed on the x-axis in otherwise em ymg1. xbd)cl-pty space as shown below. y b1ml ).g-dxc
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 arranx;zu 6;ex-iqbg5-*vh n4l.fiwmwo(j ged as shown in the accompanying diagram. At which of the labelw-*- nv;5 g 4 ;eowx(zq lbufimij6.hxed points is the field most nearly zero?

  98.30: Four positive point charges are arranged as shh1ibzmjz79 j05zwg6u own 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 force between charges 3 zihu 715b6zzmj 9gw j0and 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 plac(hkr:h wx3sdsj -q *.ued on the negative x-axis 0.20 m to the left of the origin, as shown in the accompanying figure. A second pointw u(.xh-sd q 3sj:khr* 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 aya,tlmc p9 /hwql7;k.t 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 tl/m9y q hp,w;ktlca7.he origin. The net electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical ch);c;p 5qp uyugarges are arranged on the corners of a 10 cm square as shown. What would be the direction of tygcu5p);p ;uqhe resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are wh8v30zp;yp- m8houz 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 eleczhh;pzu83vm- yw08o p tric field from the given charges?

  16.33 Given the configuration of three charges, +Q, v)pt ,svksvkxa 8 45dl*a3ow)b m-i-v+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 electriipk* dal-oxv)54 m-,)av3 wsvv kt8 sbc potential at P from these charges?

  17.43: A semi-circle has radius R, toox*yhd q f w3kwojyo *o7)5g,6tal charge Q, and a charge per unit length h3*)w ,o jo 5d7xkgf6yywqo o* 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?