95.26: Two positive point charges repel each other with7vlmd,i me4 .zt liwt564:szo force 0.36 N when their tziw64z5 4 m:,l7vosdlim.e t separation is 1.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately hys 9r- e4)kaxxow many electrons must be removed from an electrically neutral object to give it a net charge of Q = + 1.kr xy eax4s-9)00 C ?

  13.15 In a circuit, the flowjn;e aa52vs-*2sqjza 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 foa;jeansqv s2j 52 -z*allowing choices 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 distno en+vkra0y 1 hkp-9,ance 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 choices1,p rk+neo ky-90 vahn best represents the magnitude of each particle’s charge?

  07.25: If two protons are spaced by a distance R, what is the ratio ofn; luf/c+ oybc,- gxb/sn-ca;qje9g 1 the gravitlo1/ b9/bq; u+ncxc,cg enya; --gjf sational 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 4 buhrlk(zncce9lh :r.gc4 -,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 huk:re4(b r- ln lz chcg.c9,4other and which object experiences the greatest magnitude of acceleration? Ignore gravity.

  94.39: A small object witybm 4 x4kx -2di0m5q1l6hbocy-b jh;fh 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 the accompanying figure. In the presench4 h bmiof2bdl;1y04xj-- ycx5k6q bme 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 an 5 ; )6bgln+ds2l9me elogzhu-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 suz)nlel gs+ l -d6hg92;bm5eo tring is cut, which of the illustrated paths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region berl7w m k4-tm3t1gs t5ftween charged capacitor plates with equal speed v. Electron A is dire-5fgtrwt4s 3t1m lm7kcted 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 point charge exerts a force of magnitude F on -aae6(lltphvmhw*i d ,uzv *a5se-60a 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 po6z-(mv*ph, hvia*stl 0 wdlaae -5e6uint charge?

  98.08: When two charged pf9:ef v +ovcz*y ra1v1oint-like objects are separated by a distance R, the force between them is F. If the distance between them vv19f:oercf+ z *y 1vais quadrupled, the force between them is

  03.18: Two identical electrical )hv ykhq akukx(71.33fte 8czxw9 dg ;point charges Q, separated by a distance produce an 9 qx33 h(d1cyz.kh gu ;) tefkwva8k7xelectrical 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 ptn + 3kmfcduv x(x 7l1so1*f0placed midway between two point charges +3q and -q separated by a distance 2d. If Coulom03 xtmsd*(u1cof1n7fv lk + xpb’s constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q and a neg p8i, cbb653v*jxgp3rivvwo 7ative point charge of -q are separated by a distance d. What would be the magnitude of the electric field midway between the two 3ibv3x7pv*8p ,r6vwi5 g c bjocharges?

  08.33: Two point charges are fixed on the x-j*i iiv b))8:ke xb1+0hf9omyfg;mgwaxis inotherwise empty space as shown below.jg)b k o9e1 b hwfy ii;0:m)ximfg*8v+
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 ar2zukj/x ;xg /tx2m -exe fixed on the x-axis in otherwise empty space as shown below. ; x/xxutxej 2z-gk/m2
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 accompanyi2fd- aw)4f kh)-g3z3:h5upec nwtlzang diagram. At which of the labeled points is e 3zk:n tclpzu- 54fh)aaf)g 2hw 3wd-the field most nearly zero?

  98.30: Four positive point charges are arrancftx:wqj fq *)ccs +01ged as shown in the accompanying diag+:qcx0 s 1ccwfq*tj)fram. 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 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 omgzbfngm*yk0 d, d 5:5+g-y1sy mljj,wqo a:)n the negative x-axis 0.20 m to the left of the origin, y,z s1*jnq)lw: m0-fg,y b mjyadmg5 gd5:o+kas 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 field at the origin is zero. What is q?

  95.36: Assume the electric poten,gej(9mtl2 tc tial is zero at infinity. A point charge of +4.0μC is placed on the negative x-axis(,j9 gtelmc 2t 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 charges are arranged on the corners of a 10 cm squa ueuu0wm.kfnzc u3 /:.re as shown. What would be the direction of the resultinuuku:.w ec .u0n/ f3mzg electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in2 uipt9 um+b8ah f 2k:h6gv4ou place on the x-axis, each a distance a from the origin as shu+b9i 8:o6ahk u ph24g2mfutvown. At 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 chamxan tm):q9 3,awzuo ly7- fe(kt)xt8 rges, +Q, +Q, and −2Q, which one of the following choicetly-73km )(nfaotx),:q9t xw8um ae zs best represents the direction of the electric field 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 unitpfx2veo mx 6;3 lengt; e3p6mxoxvf2h 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?