95.26: Two positive point charges repel each other with for.4oi .a- b lqj:vezh(v f7-ggcce 0.36 N when their separvi (ba7 q-ve- o4.lg:ch zg.jfation is 1.5 m. What force do they exert on each other when their separation is 1.0 m?

  12.13 Approximately how many electrons mus6ny2:ainl. x gt be removed from an electrically neutral object to give it a net ch2nl:yn.agx6 i arge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in a horizontalm wk;b;mewz8ogx,3i4pp0a//a 1 dadf wire produces a constant current of 3.20 A for a time of 3.0 hour. Which one of the following choices best represents th x/pfk; m g1ib /wzadwe4a038a,ompd ;e 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 0.59x(ln j.o6jm q0mapart. 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 part(6jom9xlq. jn icle’s charge?

  07.25: If two protons are spaced by ar blx z3, 49k,1 -ikzculy7bbpzzer)/ distance R, what is the ratio of the gravitational force thal/c1z 7k zeu4,3k lr9z, bp rbbxyi)-zt 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 uplb7 -, b.u5jy-gtbvz nb;dg j8ciss*l/f,e r. 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/bjn-,eicj7gv fsy,85 bd g.sb zubr l ;-.t*l 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 attached to one end ofovci(a : mk8:tg.wyi / 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 with the vertical. Whavt mag wi/(yck.8:oi:t is the sign and magnitude of q?

  09.38: A small object of mass M and charge Q :bfz hy9, .4mcszn)/c l6zuvn is connected to an insulating massless string in a vacuum on Earth. A uniform electric field exists throughout the region of:/z m)z6b,l .u 4hcnfzvyc 9sn 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 plates wi26i:du kv 8nqim.b2(k4ajkmuth equal s:24nqija.v 8b2k u mudm6k ki(peed v. Electron 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 poinid yz l4 4buq3g1bp:+3 h4rmvdt charge exerts a force of magnitude F on 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 thd 14zgv3 l+mdr: uhib3y 4qb4pat the positive point charge exerts on the negative point charge?

  98.08: When two charged point-like objkf27jp wds8 g*vbtg ti+3yf2 :* sts,zects are separated by a distance R, the force between them is F. If the distance between them is quadrupled, the force between thep*+ itt ,*jgty7v gswd8szf32f2sk:bm is

  03.18: Two identical electrical point charges Q, separated yyx-11 y7d6avzngg5 w. gpm/cby a distance produce an electrical force ofF on one another. If the distance is decreased to1yc- gmw.gp1gzy 6d7y/vn5xa a distance of 0.40, what is the strength of
the resulting force?

  96.34: A point charge +q is pf,cg)is;8i5soyic9u5kyr (*rp d8 h blaced midway between two point charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, the magnitude of the fo yu8 p i*c)r sdf;ib558ir o9(hg,syckrce on the charge +q is:

  01.31: A positive point charge of +q and a negative pointwg(x4.b 9 szho charge of -q are separab9zgshw (o x4.ted by a distance d. What would be the magnitude of the electric field midway between the two charges?

  08.33: Two point chaq(ai u 8s249arnt7thyrges are fixed on the x-axis inotherwise empty space as shown belr47hqt (9 2s8 yuitnaaow.
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 empxo2ci4rwq :.zqi d* a2ty space as shown belowo*azrq ci2:i .2q4d xw.
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*jv4+9bj zd zq diagram. At which of the labeled points is the field most nearly+j4dz*zb vj9q zero?

  98.30: Four positive point charges are 40xr4vnpl v(qarranged as shown 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 neavl0vn 4 p(qr4xrly

  94.08: A point charge of +4.0 μC is placed on the negative x-axis 0.20 m to*nn 46xdhud hc+h9g t8)2dxgq the left of the originh6quhdtxgd)942ch *xdn + 8ng , 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 electric field at the origin is zero. What is q?

  95.36: Assume the electric 6mpevrwy.-r w 7 cb5n(potential 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 the origin is also zero. What is q’smcn5-p(r .vb 7y wewr6 charge?

  03.27: Four electrical charges are arranged o qxsw m:n:7/wzw iw g*xgao900n the corners of a 10 cm square as shown. What would be the direction of the resul*inmwxz oa0sq g7w/xgw 9:0:wting electric
field at the center point P?

  14.10: Two charges −Q f1n a /z(dy.h;p3ey ueand +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-axis from th nh;e d.y 31ypuef(/zae 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 ofirc/. otp8(6pfhb;kxey-3 b x the following choices best represents the direction of the electric field at the point pe 8-3bb./f;r ckt(i6y hopxx P and the sign of the electric potential at P from these charges?

  17.43: A semi-circle ge88a9m feri6has radius R, total charge Q, and a charge per unit length given as re86fi8g eam 9$\lambda ={\lambda }_{0}cos\theta$ with θ defined in the figure and ${\lambda }_0$ a positive constant. Which one of the following choices gives the electric field strength at the point labeled P?