*on", &r'r,!LSpring 2015 - Physics 162 - Exam 1 Instructions: All work must be shown on this exam packet. No work on scrap paper will be accepted. No books or calculators. No notes except for a 3x5 notecard. (2 points each) For problems 1.-5, circle the bmt answer. 1. X and Y are two uncharged metal spheres on insulating stands, and are in contact with each other. A positively charged rod R is brought close to X. Sphere Y is now moved amray from X. What are the final charge states of X and Y? (a) Both X and Y are neutral. (b) X is positive and Y is neutral. (c) X is neutral and Y is positive. @* is negative and Y is positive. (e) Both X and Y are negative. 2. Two identical small charged spheres are a certain distance apart, and each one initially experiences an electrostatic force of magnitude F due to the other. With time, charge gradually leaks off of both spheres. When each of the spheres has lost half its initial charge, the magnitude of the electrostatic force will be (a) 1/16 F. (b) 1/8 F. 6,)ttap. Y' (d) 1/2F. 3. A piece of plastic has a net charge of *3.20 pC. How many more pnrtons than electrons does this piece of plastic have? (e : 1.60 x t0-1e C) (6\r.oo x 1013 (b) 2.00 x 101e (c) 4.00 x 1013 (d) 4,00 x 101e (e) none ofthe above Four equal negative point chargee are located at the corners of a square, their positions in the xy-plane being (1, 1), G1, 1), (-1, -1), (1, -1). The electric field on the x-anis at (1, 0) points in the sa,rne direction as i (u) (b) , vAr-t (d) i (e) -j A point charge Q is located a short distance from a point charge 3Q, and no other charges are present. Ifthe electrical force on Q is F, what is the electrical force on 3Q? (a) F/3 rb) F/ 3 6"', (d) 3F (e) 3F (10 points) The electric field 2.0 cm from a small object points away from the object with a strength of 270,000 N/C. What is the objects charge? KX rL x= Er' t( = Q*ouD l) 1,0 x/04 = Qx,,o* ) (, ]lt rlcl'l z)' (,o znt) Mn' cz ' 7. (10 points) What is the force in the c-direction, (F),, on the 5.0 nC charge in the figure? l0 nC O .1.0 -10 nC i9-.r---1 ,, -\ G,&4 J v 5in0 -- 5 W 8rx/01 ynL = 18 y tou = tq x/ o-{ -1-1 *,t) M (il; (- 'u)e) Yl0 rt- hn* erct',^ (i\ \ +/x =o 5.0 nC -- Pr,^ cm , F* F*= L* I6,0,r)Qonc) tv o 8. (S-points each) An electric dipole is formed from two charges, *q, spaced 1.0 cm apart. The dipole is at the origin, oriented along the'y-axis. elmtric field strength at the point (x, y) = (0 cm, 10 i. ""r) (a) What is the charge q? Cn/ La& The abO U7C. x zkls f7 *n E13 @6 o locw^ ZKS Ot Q*L)t.a: = z,Eo"/o, 36o Yio-l y)Q,^) lX x/0? _tO .a (b) What is the dipole moment f=Qs, Cr,^- A B"? " "h*) =@ vto-tuc)Ccr ) i -tz cn =ZO x/o i =ZOxlO C c
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