95.26: Two positive point charges prz tqo;cq,i(20hew) repel each other with force 0.36 N when their separation is 1.5 m. What force do they exert on each othqqp0,cow2ie )(h r;tzer when their separation is 1.0 m?

  12.13 Approximately how many electrons must be removed fo: /.nv7xvs elmac+or oq *49 dyks)f1rom an electrically neute .v+m7rv nc saq: )o 9dosoyf*14lk/xral object to give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons8rv0a,ie7cvucjl/j aa 7/rs, in a horizontal wire produces a constant current of 3.20 A for a time of 3 0aau,, v7ve8rr/ls jc7jai/c.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 particles are fixed in9 jzgw*)fd 2cw2dgv 4p 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 choices best represents the magnitude of each particle’s cha2j9)d zf4gdv* p wwg2crge?

  07.25: If two protons are spaced by a distance R, what:gpvf9l1 l sa4 is the ratio of the gravitational force thata94fvl g pl1:s 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 )wutkywh*o 0gq ue ;;7cu 8iz,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 scient i*oku ;tc7g8;u, ) we0yhwzuqist’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 attacy0 5kga)zu q5fa)r6 jk7aut7thed 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 th7qa)gk7tj5a0aur 65 zft) uyke 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 of o mkur5wqfy.1l7 vwzs17:pm.mass M and charge Q is connected to an insulating massless stq1wkv51l:. py. zm7frmw 7 souring 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 paths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region between charged capacitor plat1t 3/km wdcf)wes with equal speed v. Electron A is directed horizontally to the left while electron B is diw c1dfm/ k3wt)rected 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 negative poino24 g7twauc z urap)-)t 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 positi))r g-7uzacwp2 u4taove point charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated b,bg.zk2oa 5 ury a distance R, the force between them is F. If the distance between them is quadrupled, tha,rku5bg2 z.oe force between them is

  03.18: Two identical el :6h7*mvy cgr u//ccivectrical 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 si *: /ymg/uv vhccc76rtrength of
the resulting force?

  96.34: A point charge +q is placed midway between two point charges +3q viu g9,j 71wc; v:ajqland -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the force on the charg ;9: cqaw ,uj7l1igvjve +q is:

  01.31: A positive point chargx* 0vb-ozaic9i5s+*l hjg 7 jie of +q and a negative point charge of -q are separated by a distance dlo9+ 7i*ixa g5sj*b0hc-i vz j. What would be the magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axisv* ggrxtq5 h,3 inotherwise empty space as shown bel*vtrgxgq 3,h5 ow.
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 fixl)30qf fvd5u; ddtf9hed on the x-axis in otherwise empty space as shown f 5)fdhtv 0d 9qd;u3flbelow.
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;kgfg 84 s jbib/,oym+k ct;)i diagram. At which of the labeled point),+y;i8tbo4sg mjkb c;ikg /fs is the field most nearly zero?

  98.30: Four positive point charges are arranged as shown)q 9p xgbk6a)v 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 force on charge 3 is most nearpb69a x) q)kgvly

  94.08: A point charge of +4.0 μC is placed x5p a4+ m2iwlqon 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 mto the right of the origin. The net elec m2xlq+5aw4 iptric field at the origin is zero. What is q?

  95.36: Assume the electric potential is zero at infifg v7;exsq1(z nity. 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 is q’s ;z fg xv1q(e7scharge?

  03.27: Four electrica7drbn8-ol*ut0wj mb z:0y o-hl charges are arranged on the corners of a 10 cm square as shown. What would be the direction of the resul tm- wnu0-8br0b:*z yold7ho jting electric
field at the center point P?

  14.10: Two charges −Q and +Q, are fixed in plc2yzfd*if/:r27 o 4i ,uejy cpace on the 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 f i 7c2r cdfojz,yf4 p2iu:y/e*ield from the given charges?

  16.33 Given the configuration of thvl3y 7s0mmsjq.x. h3 bree charges, +Q, +Q, and −2Q, which one of the following choices best represents the direction of the electric field at3v xy0s s7jlmh.b m3q. 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 Qp4cx m:rlkj 48, and a charge per unit length given as 4ckl4jp8m xr:$λ=λ_0cosθ$ 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?