95.26: Two positive pointd8 flu(:i2nx0xws v 4llr1o d+ charges repel each other with force 0.36 N when their separation is 1.5 m. What force do th4ixu+ofdlr8: d s(nlwlx21v0 ey exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be removed from an electrici 0pu og0y og:t* l0-*+odoyyyally neutral object to give i:l ydoo y *00 giuyg*op+yo-t0t a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flosc ;hm;l-j lu6w of electrons in a horizontal wire produces a constant current of 3.20 A for a time of 3.0 hour. Which one -l;j6muc;slh 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 particles are7ee+;jrh 1l+cl z)d6 :czcr ue 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. Whi re zul:+jzre+7cle6) ;cchd 1ch one of the following choices best represents the magnitude of each particle’s charge?

  07.25: If two protons are spac-e 5bu :8op5tlid da:ied by a distance R, what is the ratio of the gravitational force that on ::5tuo5ip-dieal8b de
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 mass M bgehx0og 58ak4 q-s0cs eing placed near a helium nucleus (2 protons and 2 neutrons) of charge +2Q and mass 4M. The objeca k0-g40x gqos h85sects 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 charge q and weight mg is attached to one4o,9fg 8xqbaztp) 9l f 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 f,pzg)oftxa99lb8f 4qield, 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 *m2fmi00x 016bjbksqh,xb ec( b, xbminsulating 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 ax1i0m bbsk b00fxc m j,b*6,b mx(qhe2t 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 enter a region betwee38;:9e m ;ouo9 tzmet;hpefeen charged capacitor plates with equal speed v. Electron A is 9 otmmhe9u8e;efe3o ;t:p ze; directed 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 a ne(n 4e1eh)ssh kgative point charge placed a distance x away. If the distance between the thssn1 )k(e4h ewo 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 arsi+i3cb 0/i77oqagp( 7bx1l7 xqma ube separated by a distance R, the forcqblpbaq 0/1b s3+x7u77o7aimcig x i( e between 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 atpj 7xn.*xg;wtfmzz c;o:-. ypf5 .ln distance produce an electrical force ofF on one another. If the distance is decreased to a distance of 0.40, what is the stre gz7 *y5 fn m;p.;c.x-lfwo.tn:pxt zjngth of
the resulting force?

  96.34: A point charge +q is placed midwayqc*3g 55:i vps*tbbdq between two point charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, the magnivc55p:sb*gb diq*3 q ttude of the force on the charge +q is:

  01.31: A positive point charge of +q and a nega*i8t4h si cjy3tive point charge of -q are separated by a distance d. What would be the magnitudi8st* h i3y4jce of the electric field midway between the two charges?

  08.33: Two point charges are uw83 .dc,c5ir h2. eu ceqgol5fixed on the x-axis inotherwise empty space as show3q l55g r2uew edicc .8ou,c.hn 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 otherwis 7 2quo6wx0fwzh9r jps63w4b be empty space as shown below3uwws fbrh7pxz b69w 42j6q0o.
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 diagrblea9pmf x1 ,oeb*1m8am. At which of the labeled points is the fielde 8m*pf1a1lbeo9mb,x most nearly zero?

  98.30: Four positive point charges are arranged as shown in the ywpy7is+gxx -/1hn/r xs// ctaccompanying diagram. The force between charges 1 and 3 is 6.0 N; the force between charges 7cn/ ry+ss/x 1wi/hp/t-ygxx2 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 ofm s 77t09ze7ct;d gvqt +4.0 μC 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 7ettdg7m;svzctq09 7mto the right of the origin. The net electric field at the origin is zero. What is q?

  95.36: Assume the electric poten4 unmjx-+8um*9jeebqm*ex6ghuj a9 m j9a2 q5tial is zero at 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 the origin. The net electric potential at * 9a*9jjjm2eu -qaj6u qm4b8m+5gehe nxu 9mxthe origin is also zero. What is q’s charge?

  03.27: Four electrical charges are arranged on tvvpk gbdn--iyii ,+3nl/)rn3 he corners of a 10 cm square as shown. What would be the direction of the resulting e/ n r)k3li-p,i+niydb 3vv -gnlectric
field at the center point P?

  14.10: Two charges −Q and +Q, are fi/pg8dz2;m zbm)47y kru*c nnvka8; jnxed in place on the x-axis, each a distance a from the origin as show c/;gn7knz)d k4v y;*br2m8up j8anzm n. 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 q3xcmi*eo krtk.8j5 4 charges, +Q, +Q, and −2Q, which one of the following cho5*eqjx4 ctoi3. r8mkk ices 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 wn /guxf we *+nkm,qgkj-/18uj0ste 6 has radius R, total charge Q, and a charge per unit length givenu n*/w,mkx+ejg 8 ut0ngfwj1q6ke s/- 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?