95.26: Two positive point charges repel each other with force 0.36 N when thenw )q1vm)dw0 pwe9* meir separation is 1.5 m. What force do they exert on each other when their separativq)*e1wmed9mnw0 pw ) on is 1.0 m?

  12.13 Approximately how u utjr q;c0-padxe-t3,. * filmany electrons must be removed from an electrically neutral object to give it a i3tec-xf;up- d q . 0l*ajtru,net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a horizontal wire produces a co *xcgy+bjm(b :nstant current of 3.20 A for a time of 3.0 hour. Which one of the following choices best represents the number of electrons that pasxj+bbygc:(m * s through a vertical cross-section of the wire during this time?

  13.07: Two identical particles are fixed in place a distance a.. rkd;e*+upcrb wk;6 khm.f i n,tr)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 choices best represents the magnitude of each particle’srf uc6akm d h;t.).ier;k*p+rw,b.nk charge?

  07.25: If two protons are spaced by a distance R, what is the ratuc ogl22e o)4mio of the gravitational force o4gc o2ml u2e)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 prota ; 1rmo3e3f/a(18 3df qzalevxy wj8ron of charge Q and mass M being placed near a helium nucleus (2 protons and e 313ml ;a e(zjaa3/ 88fr1x rqwyfovd2 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? Ignore gravity.

  94.39: A small object with charge q and weight mg is attacs rfc+q9t 7yq6hed to one end of a string of length L. The other end is attached to a stationary support. The syst y6 rft+c9qqs7em 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?

  09.38: A small object bh7za :nr r.w w9fb):c:e ag2+4tug gtof mass M and charge Q is connected to an insulating massless string in a vacuum on Earth. A uniform electric field exists througho ) w+4wcr:aftge7h.zgut bab n2::rg9ut 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 paths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region betweeyg + m0ixu8dr+x:l : uh-*fadrn charged capacitor plates with equal speed v. Electro dx+ ghl m:rx*f8uur-0+dy:ian A is 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 cz0/a z)xikr7h u**v3 7/zynh/irls suharge exerts a force of magnitude F on a negative point charge placed a*niih)/us7azzv lr07k z3sxu/y/*rh 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 point charge?

  98.08: When two charged point-like objects are ke)jkj60 f4fwseparated by a distance R, the force between them is F. If the distance between thkk ffjjw)064e em is quadrupled, the force between them is

  03.18: Two identical 7xyi.** nv/ti)dzj1z ,uaocz electrical point charges Q, separated by a distance produce an electrical force ofF on one another. If the distance is decreased to a distance of 0.40, what is the szy*. za ),uxn/7ic jizot*1dvtrength of
the resulting force?

  96.34: A point charge +q iln+ mxn2szg)u0usb .j,3e uz8s placed midway between two point charges +3q and -q separated by a di2gm,sxze3 u8lbzjs nn+0uu) .stance 2d. If Coulomb’s constant is k, the magnitude of the force on the charge +q is:

  01.31: A positive point charge of +q and a negative point charge of -q are separ 36ubaihv74 wl 1pdnd6ated by a distance d. What would be the magnitude of the ele3bp 6v 7hdua1d lwin64ctric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise empcibz ;kpfxbl 9h6: .h*ty space as shown belowib c6h:;zk l9phbfx.*.
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 spaceg+l;w5x +x1kuo2 lykc as shown belo; 5oug lxxwk+l21y+ck w.
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 th q 4ddt325;a3 ovcopuwe accompanying diagram. At wu234 tpo3wq;vod5da c hich of the labeled points is the field most nearly zero?

  98.30: Four positive point charxlweql,( m,5eges are arranged as shown in the accompanying diagram. The force between charges 1 and 3 is 6.0 N; the force between charges w mx l(,5,eqle2 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 on the vh.6 a bc9o(t9bxui*pnegative x-axis 0.20 m to the left of the origin, as shown in the accompanyingo 6u*9c9xiahv( .pt bb 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 infi2 1z awmzb6739qnt rtizy8;m cnity. 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 the origin is also zero. What ibai7wmm 6 91z32ycnqztt r8;z s q’s charge?

  03.27: Four electrical charges eg wf9jr9vm).g.+ 4 tzt8yzwyare arranged on the corners of a 10 cm square as shown. What would be the direction of the resultjt.t4wwgy9)m r8 zye+9zf .gv ing electric
field at the center point P?

  14.10: Two charges −Q ap 8di,lvb j3dvqvb: x .k7*(rznd +Q, are fixed in place on the x-axis, each a distance a from the origin as shown. At the point labeled P, a distance along they-axisk3x(ji :r b*.z7,8vd d vpvqlb 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, which one (a3, sfqpba1e of the following choices best represents the direction of the electric field at the point P and the sign of the electric potential at P from thbs,31(p a aqefese charges?

  17.43: A semi-circle has radius R, total charge Q, and a charge per u,uvy1f9s npn it8( (rqnit length giv(ni8(y tq 1nu ,pvf9sren 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?