95.26: Two positive point charges repel each other with fomuvd(m3 x*jjm.s. cmy)wb6c 1rce 0.36 N when their separation is 1.5 m. What force do they exert on each other when their separation is 1.0 mcxbj j (1.mm*m)c.36d u sywmv?

  12.13 Approximately how many electr 7g3f lgl9k9 00wef.9nwxdp vsons must be removed from an electrically neutral object to givkwl99g lpff0.gd s70 xv9e3 wne it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a horizontal wire prre*-ny uuafia-)q-f . oduces a constant cur fui-r-a*u)efa -y.qnrent 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 through a vertical cross-section of the wire during this time?

  13.07: Two identical p9 tfal 0xx;nr+articles 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 chltnrx 9+a x0f;oices best represents the magnitude of each particle’s charge?

  07.25: If two proton(7xls *hcqzs d;e0ce 1k6xhq ,s are spaced by a distance R, what is the ratio of the gravitational forcelqc 7sk(, 0zq;6hc1sexh*edx 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 a proton of charge Q and massg l35wy*o./eifnw2ip 1nd4 fw 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 onpif1w4f3i/w d 5wn g.2*yelchoice 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 tojx2mc8u vu)2s 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 the field, the string makes a constant angle q with the vertical. What is the sign and magnitude xcj2 v28) smuuof q?

  09.38: A small object of massp8nyf-f3m zlq yq7ywsp)6 ( 8u M and charge 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 pa )qw3pm7yfs8y 8zulf-p(q y6 nths best indicates the trajectory of the mass?

  13.29 Two electrons enter a rez;sp-g z7( on i2n+2vf)l gtotgion between charged capacitor plates with equal speed v. Electron A is directzo+(27t)p2n-vzfstog in ; gled 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 charg61wwlkhv7+(54l gbet kxh3u de exerts a force of magnitude F on a negative point charge placed a distancx tvdw(b g hk6 l43w7+lek51uhe 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 point charge?

  98.08: When two charged point-like objects are separated by a i7mdfpwl uwu4t0/ s 7cab:5:a distance R, the force betweenp7 wubcit7 a:s45u:mw/la0fd them is F. If the distance between them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a distance a0b8zcyr n .m)uhe4g;4g9 yo*0yrxexproduce an electrical force ); rx8g4c4y.b 0zyg09oxrmun*hy eae 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 midway between two point charges +3q and -q-kb hkxe ah(bl*//j(qq +4ecj ri+i,v separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the force on theb(/bjil ha qke+/qh cjr-4ek*(i+xv , charge +q is:

  01.31: A positive point ch271tft3( et n5:ezxw,g tfoacarge of +q and a negative point charge of -q are separated by a distance d. What would bf3t( otg ecfn:2we a7x,5t tz1e the magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axiuxut q-tj--7 gs inotherwise empty space as shown be 7tx- qgu--ujtlow.
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 cha2g*ls 8i na)gzrges are fixed on the x-axis in otherwise empty space as show)8s gln*2i gazn 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 accompanying dwq8uv*l:q0.hob hq s. iagram. At which of the labeled points is the field mu:.vblh q8sqh.* o0qwost nearly zero?

  98.30: Four positive point charges are arranged as sqo qyj8z.) tk ra);7qahown 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 and 4 is 38.jqty)aqka) o qr ;7z.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 kfm m7p8 42 ,kcrid71xj6jsd xnegative 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 field at the kjm8d fdp6m js, 7r12kx4c 7xiorigin is zero. What is q?

  95.36: Assume the electric potential is zero ats. vdj6or0 f )va,xves.rtk n35pl06dehj l3+ infinity. A point charge of +4.0μC isp dav6 rvst)e k3ro0h30 jj. .lv,sd+e6nfl5 x 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 origin. The net electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical charges are arranged on thd(3pvy*oi,dk )fp m/le corners of a 10 cm square as shown. What would be the direction of the ref*ypl,3dmd(/ i v kp)osulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, agjco/ed. 9v )cre fixed in place on the x-axis, each a distance a from the origin as shown. At the poin dc9.ecoj v)/gt 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, wh5 848iuu ouqsz+or ds0ich one of the following choices best represents the direction of the electric field at the point P and the sign o or508qu8 zsud+i so4uf the electric potential at P from these charges?

  17.43: A semi-circleq(l5(a9 x hyoq:r7.a h;de /rsgw8who has radius R, total charge Q, and a charge per unit length gio.(;h h7xw5r /:lohgq q yrdsa(ew89 aven 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?