95.26: Two positive point7pd,v /9 sna7l sx2vsy charges repel each other with force 0.36 N when their separation is 1.5 m. What force do they exert on each other when t7s/9npv ya,s l sdxv72heir separation is 1.0 m?

  12.13 Approximately how many electrons must be removed from an electrically g:df)f2wickpw qdunlyl-o-)qf 2:5y jy*;4sneutral object yf5cd4-jq *ylffyn)2 dl:ugosiqwp w k):2-;to give it a net charge of Q = + 1.00 C ?

  13.15 In a circuit, the flow of electrons in l wox68+(5y ycfc t./mznmx /wa horizontal wire produces a constant current of 3.20 A for a time of 3.0 hour. Which one of the fo+t n lw ycxc(mwfy85/x/ zm.6ollowing 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 af (94pg i;r f,tdgh-vp7s,ynsre fixed in place a distance of 0.50mapart. The electric force t4,sfr 9-tpsvdi7yf h(,p;n gghat 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 charge?

  07.25: If two protons are spaq.j;q:tb0(iq*pb :ojgdj7 w sced by a distance R, what is the ratio of the gravitatio( ibqpqjt*qw:b7 ;d: .ojsj0 gnal 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 sets up an experiment with a proton of charge Q and masszl h* )kw)v;(xi1.v(r+jo dsd bztc.o M being placed near a helium nucleus (2 protons and 2 neutrons) of charge +2Q and mass 4M. The objects are each releasz *s c ; ro vvzj1bk.xthod)(iw(l.d)+ed 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 o1qd 5nmyo5sh:/p heb 4f a string of he 5yn1dhsq /:bom54plength 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. What is the sign and magnitude of q?

  09.38: A small object of mass M and charge Q is connected to an wrz+6/uv /a(huksjt,y d00u minsulating 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, whichwk vr06yu/ jhzs0t/mud(,+u a of the illustrated paths best indicates the trajectory of the mass?

  13.29 Two electrons enter a region between charged capacitor pla8fm bpjaow59q )l+nz7 tes with equal sb qa5fn8j+l) m9zw7oppeed 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 point charge exerts a force of magnitude F on a yu* pil-k 5fpjo3i:;t1lz*j enegative point charge placed a distance x away. If the distance between the two p*ljz53oef1u y- *p j:; liikptoint 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 distance R, the 1(1uml (m bj)enx0e: yib0vxfforce between them is F. If the distance between them is quadrupled, thjvixnmx by(lb 0e)(0efu1 1 m:e force between them is

  03.18: Two identical electrical point charges Q, separated by a distk*2p9ulw,dsoc: cs1 qp /d a9yance produce an electrcda2 o,s9lc/sy pu*1q9dpw:kical force ofF on 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 nm l9 nmf*ac-b,-gh:gmidway between two point charges +3q and -q separated by a distance 2d. If Coulomb’s constant is k, then* mfnh- :gmc-b9 a,lg magnitude of the force on the charge +q is:

  01.31: A positive point charge of +ks2oox 7m(y apv63k(z q and a negative point charge of -q are separated by a distance d. What would be the magnitude of the electric field midway be6o3o ayskmxk (v7 (2pztween the two charges?

  08.33: Two point charges ajr+u3nv;wc4g f,z eg 8re fixed on the x-axis inotherwise empty space as shown g3+ 8u,jrewnv cg;f4zbelow.
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 as sh4n;(nnsz-5hmucd3e c7ocex: own3 z cu-sonh 75n;xe4:n(ccemd 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 anx(:p:* 1 fl,qsez0clj* o(9ct xzxkrre arranged as shown in the accompanying diagram. At w:xsc0zct(z*fxp(1onjxe l9r*q l :, khich of the labeled points is the field most nearly zero?

  98.30: Four positive point charges are arranged as shhac ,nqel997f tli:a, efp/ 1eown in the accompanying diagram. The force between charges 1 and 3 is 6.q enl9eel:a7f/ i ,9a, ph1tcf0 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 0x +ep u1+cr/vt.20 m to the left of the origin, as shown in the accompanying figure. A second point charge q icr1/+u +et vxps 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 electrif96js)*v6(baioco s *)qj gdb30t uxdc 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 origi6) scd0ia uxoj*gvb9*otf( 6)sd j bq3n. The net electric potential at the origin is also zero. What is q’s charge?

  03.27: Four electrical charges are apo7y - nvu) 7mn4c-hsorranged on the corners of a 10 cm square as shown. What would be the direction 4noo- nh 7cmvp7 uys)-of the resulting electric
field at the center point P?

  14.10: Two charges −Q anyu6k i,0 22mz5brinoj d +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 the origin, what is the direction of the electric field fruyj5mk0z 2oi6,inr b 2om the given charges?

  16.33 Given the configuration of three charges, +Q, +Q, s1.ndi y2 1efnand −2Q, which one 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 the .n1eyd2 1sfnise charges?

  17.43: A semi-circle has radius R, total charget 35jmw8 c 9rhhd.fdqc73vhi/ Q, and a charge per unit length.itfhhw3dd8m/ h7j9 5c3 vcrq 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?