Monday, Mach 5, 019 Page: 1 Q1. Figue 1 shows thee pais of identical conducting sphees that ae to be touched togethe and then sepaated. The initial chages on them befoe the touch ae indicated. Rank the pais accoding to the magnitude of the chage tansfeed duing touching, geatest fist? A) 3, 1, B) 1,, 3 C), 1, 3 D) 3,, 1 E), 3, 1 Q. Thee point chages ae placed as shown in Figue. The magnitude of 1 is 5.00 C but its sign is not known. The chage is not known while chage 3 is +7.00 C. The net foce F on 3 is in the negative x-diection. Calculate the magnitudes of and the foce F, espectively? A).11 C, 46 N B) 1. C, 164 N C) 5.51 C, 91 N D) 3.65 C, 46 N E) 3.05 C, 99 N Q3. Chages and in Figue 3 ae located at x = a. If = 5.00 pc and a = 10.0 cm, find the magnitude of the net electic field at point P due to these chages.
Monday, Mach 5, 019 Page: A) 1.45 N/C B) 1.01 N/C C).55 N/C D) 3.05 N/C E) 4.45 N/C Q4. A poton moving with a velocity v =3.8010 6 m/s entes a egion (x 0) containing a unifom electic field E = 5.6010 4 N/C. How fa will the poton tavel in this egion befoe it momentaily stops? A) 1.35 m B) 0.1 m C) 0.56 m D).4 m E) 0.770 m î î Q5. An electic dipole with dipole moment of magnitude 5.0 nc.m makes an angle of 30.0 with a unifom electic field of stength 4.00 10 6 N/C. Find the wok done by an extenal agent to otate the dipole until it is antipaallel to the field. A) 1.8710-1 J B) 1.0010-1 J C) 4.5510-1 J D) 6.3310-1 J E) 9.8110-1 J Q6. A spheical conducting shell has a net chage of 110-6 C. If a point chage = 5.010-6 C is placed inside the spheical shell, find the chages on the inside and outside sufaces of the conducting shell, espectively? A) 5.010-6 C, 7.010-6 C B) 5.010-6 C, 7.010-6 C C) 7.010-6 C, 5.010-6 C D) 7.010-6 C, 7.010-6 C
Monday, Mach 5, 019 Page: 3 E) 8.010-6 C, 8.010-6 C Q7. Figue 4 shows, in coss section, two solid insulating sphees with unifomly distibuted chage thoughout thei volumes. Each sphee has adius R=0.600 m. Point P lies on a line connecting the centes of the sphees, at adial distance R/ fom the cente of sphee 1 which caies a chage 1=40.0 C. If the net electic field at point P is zeo, what is the chage on the sphee? A) 45.0 C B) 0.8 C C) 11.5 C D) 49.5 C E) 40.0 C Q8. An infinitely long insulating solid od with 4.5 cm adius caies a unifom volume chage density. If the magnitude of the electic field at the suface of the od is 1.6 10 4 N/C, what is the magnitude of the volume chage density of the od? A) 6.3 10-6 C/m 3 B) 1. 10-6 C/m 3 C) 4.3 10-6 C/m 3 D) 5.8 10-6 C/m 3 E) 9.9 10-6 C/m 3 Q9. Two vetical insulating chaged planes A and B with negligible thickness ae paallel. The magnitude of the electic field E I in egion I is while the magnitude of electic field E III in the egion III is, whee is a positive suface chage density. The magnitude of electic field E II in the egion II is, Figue 5 shows the diections of the electic field in each of the egions. Detemine the suface chage density on planes A and B, espectively.
Monday, Mach 5, 019 Page: 4 A) B) C) D) E),,,,, Q10. An electon is eleased fom est between the plates of a chaged paallel-plate capacito vey close to the negative plate. Just as it eaches the positively chaged plate, its speed is v. If the distance between the capacito plates was educed to half without changing the electic potential diffeence between them, then the speed of the electon when it eaches the positive plate would be A) B) v 3 v C) v D) E) 1 v 1 v Q11. Two point chages 1=.40 nc and = 6.50 nc, sepaated by 0.100 m, ae located at two cones of a ectangle. Point A is midway between them; while point B is located on the opposite side of the ectangle, as shown in Figue 6. If the wok done by the electic field of both chages on a thid chage Q in moving it fom point B to point A is 5.5 10-4 J, what is the magnitude of the chage Q? Take the electical potential to be zeo at infinity.
Monday, Mach 5, 019 Page: 5 A).4 10-6 C B) 1.00 10-6 C C) 3.5 10-6 C D) 7.0 10-6 C E) 9.05 10-6 C Q1. A poton is fied fom infinity diectly towads a fixed point chage = 1.8 10 16 C. If the initial speed of the poton is.40 10 5 m/s, what is the distance of closest appoach of the poton to the fixed chage? (Assume the potential enegy of the poton is zeo at infinity). A) 3.80 10-9 m B) 1.10 10-9 m C). 10-9 m D).81 10-9 m E) 3.00 10-9 m Q13. In a cetain egion of space, the electic potential is given by V(x,y)=5xy 1x 5y, whee x, and y ae in metes. Which set of coodinates (x, y) coesponds to a point whee the electic field is zeo? A) x = 1.0 m, y = 4.8 m B) x = 1.5 m, y = 3.5 m C) x = 3.5 m, y = 3.5 m D) x = 4.8 m, y = 1.8 m E) x = 5.3 m, y = 3.8 m Q14. Two paallel-plate capacitos, 6.0 F each, ae connected in seies to a 10 V battey. Then, the plate sepaation of one of these capacitos is educed to half while it is still connected with the othe capacito and the battey. How much chage is now stoed in the euivalent capacito. A) 40 C B) 5 C
Monday, Mach 5, 019 Page: 6 C) 0 C D) 11 C E) 34 C Q15. Initially, a capacito C1 is connected to a battey of potential diffeence V. Then a second capacito C (C C1) is added in seies. Does the chage 1 and voltage V1 on C1 now incease, decease o emains constant as compaed to thei initial values? A) 1 deceases, V1 deceases B) 1 emains constant, V1 emains constant C) 1 inceases, V1 inceases D) 1 inceases, V1 deceases E) 1 deceases, V1 inceases Q16. A total of 1.110-4 J of enegy is stoed in six identical capacitos each with capacitance C and connected as shown in Figue 7. How much chage is stoed in each capacito? A) 6.1 10-6 C B) 1.3 10-6 C C).0 10-6 C D) 3.3 10-6 C E) 9.5 10-6 C Q17. A dielectic slab of thickness b = 0.3 cm and dielectic constant = 5.0 is inseted between the plates of a paallel plate capacito having plate aea A = 0.5 m and plate sepaation d = 0.5 cm, as shown in Figue 8. What is the capacitance of this capacito?
Monday, Mach 5, 019 Page: 7 A) 1.710-9 F B) 1.010-9 F C) 1.10-9 F D) 1.410-9 F E).510-9 F Q18. A unifom cylindical coppe wie has to be manufactued out of 1.00 g of coppe. If the wie is to have a esistance R= 0.500, what will be the length of the wie? (mass density Dcu = 8.94 10 3 kg/m 3 ; electical esistivity cu = 1.70 10-8 /m) A) 1.81 m B) 0.330 m C) 0.476 m D) 0.880 m E) 1.55 m Q19. If the dift velocity of fee electons in a coppe wie is 7.84 10-4 m/s, what is the electic field in the conducto (n = 8.49 10 8 electons /m 3 ; electical esistivity cu = 1.70 10-8 /m) A) 0.181 V/m B) 0.43 V/m C) 1.55 V/m D) 3.03 V/m E) 5.35 V/m Q0. What is the euied esistance of a heate that inceases the tempeatue of 1.50 kg of wate fom 10.0 C to 50.0 C in 10.0 min while opeating at 110 V? (Specific heat of wate = 4190 J/kg.K) A) 8.9 B) 11.3 C) 15.9
Monday, Mach 5, 019 Page: 8 D) 18.0 E) 1.
F k 1 F E ma U p.e τ = p E E. d A Suface in c E. d A E o E o E k E k 3 R k E 0 (sheet of chage) (conducting suface) V VB VA E. d S V k, E U x i1 i B A N ki V V V, Ey, x y 1 k 1 U W Q mct E z U 0 V z C V C C ai o A Cai d 1 U CV 1 u E o I dq JA dt R V L I A J nev d J E [1 ( T- T )] P IV 0 0 v = vo + at 1 x - x o v ot a t v = vo + a (x-xo) Volume of a sphee = Constants: g = 9.8 m/s k = 9.00 10 9 N.m /C 4 π 3 3 0 = 8.85 10-1 C /N.m e = 1.60 10-19 C me = 9.11 10-31 kg mp = 1.67 10-7 kg cw = 4190 J/kg.K m = milli = 10-3 = mico = 10-6 n = nano = 10-9 p = pico = 10-1 k = kilo = 10 3 M = mega = 10 6