95.26: Two positive point charges repel each other-omwy( zbh.8imc 4 qj( with force 0.36 N when their separation is 1.5iqj( m-wb8m(z hco .4y m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons must be remom9ka(sn hvm8 )o6m47i8jp ioq ved from an electrically neutral object to give it ain soq6h mmi vpjm9ak78)48o( net charge of Q = + 1.00 C ?

  13.15 In a circuit, thut ts6t ev 1h0eps*l:l d2t23he flow of electrons in a horizontal wire produces a constant 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 pass through a vertical cre6tsttup 2he hls*vd3 : 201ltoss-section of the wire during this time?

  13.07: Two identical particles are fixed i 9jtjg+gl n(rwp42kw5n place a distance of 0.50mapart. The electric force that one particle exerts on ln 29 jrjk5wt4pg(w+gthe other has a magnitude of 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 distw:aliti;e1,(zld t. q ance R, what is the ratio of the gravitationat(:lwt;q1,zeal i di.l force 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 set ;xti)c-kcs23i/mv yms up 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 scientk-;3ymc) mi/i cx s2vtist’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 v o*sfk5c,tv.wb8c5 z and 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. In the presence of the field, the string makes a constant angle q wi5zc*so5cv, tvw.8 kbf th the vertical. What is the sign and magnitude of q?

  09.38: A small object of mass M and charge Q is connectedls*81 r 97yeajmk(3juw 1nlmh 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 shown in the figure. When the string is cut, whnmjj*s7 keh9wmll18 a r1(yu3ich of the illustrated paths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region betwee+hs+grgf h: 5gn charged capacitor plates with equal speed v. Electron A is direc:hgr+5gfgs+ h ted 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 magnitude3 u:pmnalw0t2 6,hpw zc-mq /y F on a negative point charge p 6w/mqtzpw:,mhly cu203n-a 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 point charge exerts on the negative point charge?

  98.08: When two charged point-like objects are separated by a distancejz;x2x5mq u:fva /,6a in fz,o R, the force between them is F. If the distance between them isjufx azn6o2;/:fiq ,z5v xm,a quadrupled, the force between them is

  03.18: Two identical electrical point charccv64 b +c32fog-m.sm + yhpoz2zbii7ges Q, separated by a distance produce an electrical force ofF on one another. If the distance is decreased to a distance of 0.40, 7 mg4b i6zc-y p2+z3+v oho2mbs.iccfwhat is the strength of
the resulting force?

  96.34: A point charge +q is placed midway between two0c6-)iqqw*;hf* k ucx psg+pn2 l*hd h point charges +3q and -q separated by a distance 2d. If Coulomb’s constan0 w2 np*h;giqq*fc su+* kp6c-dxl h)ht is k, the magnitude of the force on the charge +q is:

  01.31: A positive point*oq2bk xog,z 5:om h 7mjcui3( charge of +q and a negative point charge of -q are separated by a distance d. What would be the 7g(c o2jkzium ,o b:*5 qhmox3magnitude of the electric field midway between the two charges?

  08.33: Two point charges are fixed on the x-axis inotherwise empt382q vn a w1y7xngftnadjl ph21r,2:s y space as shown8 ngqw22rnla jn2 ahx:vypst 31f,d 71 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 inncp-+9mze 8 uq otherwise empty space as shown9 enm +pz8cq-u 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 th8(lo+w+.ixrcv3+uxs, mvfm de accompanying diagram. At which v , 8o+i+c.mxm(rx uw+v3ld sfof the labeled points is the field most nearly zero?

  98.30: Four positive point charges are arr:1sw 4eb0z p:nlvxl; panged as shown in the accompanying diagram. The force between 1 ev:pnslbz:;x pw40l 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 nearly

  94.08: A point charge of +4.0 μC is placed on the negative x-axis 0.vix yt(fq225zv 1c3+ itqnb-q20 m to the left of the origin, as shown in the accompanying fi tc(2- vtiyvn+2qqz i5b3f1qxgure. 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 infic-j9a8 m yk/n;qza8ej na)h2q 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 aem/ 8; 98jq2qch-nn)aazjyka lso zero. What is q’s charge?

  03.27: Four electrical charges are arranged on the corners of a 10 h70npw1: o d;0,z,sabu it wzrcm square as 7;wsan w 0z,poi10r,thdzbu : shown. 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)c r16s1ylpc6d*e xd b, 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 from th61d p1)x dsy6rbe lc*ce given charges?

  16.33 Given the configuration of thvsmxu o *0hyo5f n);;tree charges, +Q, +Q, and −2Q, which one of the following choices best represents the direction of the electric field at the point P and the sign of th)stnh yxo0*ou5;mvf;e electric potential at P from these charges?

  17.43: A semi-circle has radius R, total charge Q, and a charge pero wps u/r3+601czmcnyn krj 5: unit length gc/m5up 3 r 0s z:y16r+ocnwkjniven 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?