95.26: Two positive point ch0*x ctz x8(/hp9bnvmx arges repel each other with force 0.36 N when their separation is 1.5 m. What force do they exert on each other when their separation ipxzh9x/b*(v0m8 nxtc s 1.0 m?

  12.13 Approximately how many electrons 6d +f2ka9-hk u7 pzn1wav2lepmust be removed from an electrically neutral ob7pvwe f1l2-ku92n +ap adkz6h ject to give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrol2e-u524ib22jbf jm lzvt/l d ns in a horizontal wire produces a constant current of 3.20 A for a time of 3.0 hour. Which one of the /2-vldtb2umzj b2j2elf54il 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 particles are fixed in place a distance of 0.59f6df1m 4bz;bpni8luwr0 t -0gkn mz(0mapart. The electric force that one particle exerts on the other has a magnitude of 3.00 N lr d t4b80mb -w9z n0un(f6;1pgfzikm. Which one of the following choices best represents the magnitude of each particle’s charge?

  07.25: If two protons are spaced by acj7e *yc 4*lp0 yura s, 2djm1ysn1j6d distance R, what is the ratio of the gravitational forcdy71y 4 emarduc2l0 j jj p6s*yns*1,ce 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 massrf9)-- -)jb ke rcwq;9zdfuca 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 other and which object experiences the greatest magnitude of acceleration? d-)q 9r-cfjuw bzec9;fr)k-aIgnore gravity.

  94.39: A small object with charge q and weight mg is attached to one o-g*vi4)7 qa rkanb2jxxmx z/c-v*/n 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 of q? 4 xr b/x7nv c)vgm- **ojiax-/2azkn q

  09.38: A small object ofypsz 0kimakesfd* lyf8r*2e 1*)*td- mass 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 statr8fstk -d*dk* f 2ee)spyalym10iz **ic 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 entek(9xaf faz evx45) om5ga+ 4c9zkai 7nr a region between charged capacitor plates with equal speed v. Electron A is directed 7 agn4ka+fzkvm95xo) cfei 4 9a5z(axhorizontally 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 pointqijzjoo)zg4t u- uo9- )td1 k4 charge exerts a force 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 positivtz-j ktq1jzd-4o4ig) u9o)uo e point charge exerts on the negative point charge?

  98.08: When two charged p 4ylfw bq4-kq/oint-like objects are separated by a distance R, the force between them is F. If the distance belq4q yf wk4/b-tween them is quadrupled, the force between them is

  03.18: Two identical electrical point charges Q, separated by a distance produceg w:o7q4evhj :hb)/c y an electricv :hj4w q: eoc)/gb7hyal 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 placed midwa.t8d7 2ypvzk;tv om+ny between two point charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the force on the charge +qty.mnv72tpd+ozk; 8v is:

  01.31: A positive point charge of +q and a negativeq(3 q;+ jj ,b)nqedyak point charge of -q are separated by a distance d. What would be thk; yd )ab+j3nq,eqj(qe magnitude of the electric field midway between the two charges?

  08.33: Two point chargegzq zrt;: 4.zgbb9;se s are fixed on the x-axis inotherwise empty space as shown below.s b;te 9gbrqg. :z;4zz
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 charg2tklw/. yva gd/+f sq7es are fixed on the x-axis in otherwise empty space as shownk7s2w// .v+d ayl qtgf 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 diagraj9x) a5aklt4+bm).sr4ueif v( jd n;1odb2w om. At which of the labeled points is t)w msav ke 5bjd2 9o4oli.rb4 un;1d+a)j fx(the field most nearly zero?

  98.30: Four positive point charges are arraf 7taeg,iv za 2n3s6po:zqyseo,2d 2 w1-yo)mnged as shown 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 3.0 N. The magnitude of the total fz ivgp w:72zo6)e23 ,menq tya,ssy2ad1oo-force on charge 3 is most nearly

  94.08: A point charge of +rqo1bm(xf g 94 y00edd4.0 μC is placed on the negative x-axis 0.20 m to the left of they1xf9bq4md0de (0o gr 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 origin is zero. What is q?

  95.36: Assume the electric potential is zero at infinity. A point chanc8 w vind.2 m+p o4h*/+mcfbrrge 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 secondc o4pbr/8*vim nn m+hwdc2.+f 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 a9/v2 u,kj y t,apy qed;it8c+trranged on the corners of a 10 cm square as shown. What would be the di 8 etta k;2pyjvtui+/,ydq,c 9rection of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the-wpx7/ fd.m wd 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 field f w /m7wfx.pd-drom the given charges?

  16.33 Given the configuration of three charges, +Q,6ex2bin4u -xv +Q, and −2Q, which one of the following choices best represents the direction of the electric field at the point P ev6-4xni x2u band the sign of the electric potential at P from these charges?

  17.43: A semi-circle has radius R, total charge Q, and a charke os-f9t0urctitp: )-b1zs lr +io.0ge per unit length given i9o --:il0 0fbtrs+kpctre)z t.s1ou 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?