95.26: Two positive point chargeng f,3jqle: s0s 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 separati q jsl,fg:30enon is 1.0 m?

  12.13 Approximately how many elect +*mepq:t(h kurons must be removed from an electrically neutral qkep: *uh(+t mobject to give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a horizontal wil 09wrw2h ifbh)wev bn+av1;r:-; dphre produces a constant current of 3.20 A for a time of 3.0 hour. Which one of the following choices :+vp fbrh;a1vnwdeih 2w- 0wbl9) rh ;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 ; y8cc 5q3/n/nry(z(lpuniho ka38 dy 0.50mapart. The electric force that one particle exerts on the other has a magnitude of5 n/n8cnrhq(l cy3az ypikou (d3/8y; 3.00 N. Which one of the following choices best represents the magnitude of each particle’s charge?

  07.25: If two protons are spaced by a distance R, what is thtd /p7j+j+93sjed6quuh ivd8e ratio of the gravitational force that o+ej v9/6dip jsqu7t jhd 83du+ne
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 upxdzz8(ypdq:6 s3g o w2 an experiment with 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 o2y:x 8qd6dzs3 w po(zgther and which object experiences the greatest magnitude of acceleration? Ignore gravity.

  94.39: A small object with charge q an.d*,f plem2l p(qbqz)d 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. If,2*zqqb) e.mlp p(ldn 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 oblryr.aa al 2 j+n4ckz;0 1fj4ujv. s8vject of 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 static equilibrium at an angle of θ with the vertical as shfly8 0z j1 ja2+vlr najus 4r4c.;kv.aown 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 between charged h6m p1xgtr j-4capacitor plates with equal speed v. Electron A is directed horizontally to the legr-4xhm 6p1 tjft 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 onvyv :cq*:y.g 4v6-e oevcq+1qde 0 mrg 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-1q.my erqc6 e4:vgc0g d *v+y:ov qve point charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated by a distance R, thf2/ usr +fpn*ce force between them is F. If the distance between them is quadrupled, the force befr2 nfpcsu +*/tween them is

  03.18: Two identical electrical p:n:7y gbs:g5.a dpjmsoint charges Q, separated by a distance produce an electrical force ofF a dgs:gs :5m.: pnj7byon 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 nn0,y,6 g dx-yz4e. h,uoz e7(xljsqvpoint charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of theu6n j,gy ,x0 -,(4s.qhvzeznoly e7d x force on the charge +q is:

  01.31: A positive point charge of +q and a negative point chabnr)z suhp*m+ e16dp, rge of -q are separated by a distance d. What worzpdb )puem6+1*sn h ,uld be the magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fihcpc5v9 : hz0pt/lrga2p+2nkz t b ( lj,aa96wxed on the x-axis inotherwise empty space as shownz9hb2, kgvahjp:z6t 50 l a29(r/pn lac+wtp c 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 empty space as0emjz4q..6n)6c,s,xc y o u3 lcrk elb shown6b,lu q.,n r4c)jey.s0cz le3ox6km c 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 accompanyi sktkl8yk+gov ao(+l6,(et)(kgp k0h ng diagram. At which of the labeled points is the field mosteg hvkplaoso6(l +t( )0k gyk+kt(,8k nearly zero?

  98.30: Four positive point charges are arranged as shown in the accompanying d lhdn3r 3f.7s,/f,t4wgbt mb);g irlv iagram. The force between charges 1 and 3 is 6.0 N; the force between charges 2 and 3 is 5.0 N; and thev wr3b,, br7 tlfgsil.dmn4/3)fhtg; 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 on txu5 g+ 1fgwfgb;(p1tp5tvzf (p5egq3 he 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 pgg+5u f11 t pb; wfvtzp5qf( g(e5g3xx-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 a x3ks2x:w-njfb*b5opf:; mmwt 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 elec pfb -2*jxfms3n5:k ww ;o:bxmtric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical charges are arranged on iu+ cglzdr kk 7c:01fc1klz/6ezc11jthe corners of a 10 cm square as shofcgj1k/id:ke6r0lzc lcc 1z+zuk 171wn. What would be the direction of the resulting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in place on the x-axis, each a dist r2b;isg 3ew); u+nxvxh g55france a from the origin as shown. At the point labeled P, a distance along +nge3 u ;)fx;rxbrgsi5 h25vwthey-axis from the origin, what is the direction of the electric field from the given charges?

  16.33 Given the configuration of three chz kx ze o6o bqdig7o:5s/h e1id9,5zk ij9hr82arges, +Q, +Q, and −2Q, which one of the following choices best represents the direction z9 beez8i/kqo:h kodos51i96h5 rd ,i2x7gzj 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 8xxc v8+ i r5neb-gg(y unit lengthe+x8vrgcg b n5i8 y-(x 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?