Phys10 Secnd Maj-14 Ze Vesin Cdinat: xyz Thusday, Apil 3, 015 Page: 1 Q1. Thee chages, 1 = =.0 μc and Q = 4.0 μc, ae fixed in thei places as shwn in Figue 1. Find the net electstatic fce n Q due t 1 and. [ î and ĵ ae the unit vects in the diectin f x and y, espectively] y 1 0. 30 0.0 m 0.40 m Q x 0. 30 m A) (0.46 î ) N B) (0.17 î ) N C) (0.46 î 0.17 ĵ ) N D) (0.17 î 0.46 ĵ ) N E) (0.17 î 0.3 ĵ ) N Q. Tw chages, 1 = 5.0 nc and = 10 nc, ae shwn in Figue. In which egin ( egins) can the net electic field due t the tw chages be ze? III 1 = 5. 0 nc II I = 10 nc A) III B) II C) I D) I and II E) II and III Q3. Tw pint chages, 1 = 4.5 nc and = 4.5 nc, ae sepaated by 3.1 mm and fming an electic diple. The chages ae in a unifm electic field whse diectin makes an angle f 37 with the line cnnecting the chages. Find the magnitude f this electic field, in N/C, if the tue exeted n the diple has magnitude f 7. 10 9 N.m. A) 8.6 10 B) 5.6 10 3 C).3 10 4 D) 9.9 10 3 E) 4.5 10 King Fahd Univesity f Petleum and Mineals c-0-n-0-s-0-e-1-fg-1-f-0
Phys10 Secnd Maj-14 Ze Vesin Cdinat: xyz Thusday, Apil 3, 015 Page: Q4. An electn is eleased fm est in a unifm electic field. The electn acceleates vetically upwad, tavelling 4.50 m in the fist 3.00 mic secnd afte it is eleased. What ae the magnitude and diectin f the electic field? [Nte: Neglect the gavitatinal fce] A) 5.69 N/C dwnwad B) 5.69 N/C upwad C) 8.4 N/C upwad D) 8.4 N/C dwnwad E) 4.30 N/C dwnwad Q5. A.6 µc chage is at the cente f a cube 7.0 cm n each side. What is the electic flux, in kn.m /C, thugh ne face f the cube? A) 49 B) 4 C) 1 D) 89 E) Ze Q6. Figue 3 shws a pyamid with hizntal suae base, a = 6.00 m n each side, and a height, h = 4.00 m. The pyamid is placed in an upwad vetical electic field f magnitude E = 5.0 N/C. If the pyamid des nt include any chage inside, calculate the electic flux, in N.m /C, thugh its fu slanted (inclined) sufaces. A) 1.87 10 3 B) 1.87 10 3 C) 0.9 10 3 D) 0.9 10 3 E) 3.7 10 3 King Fahd Univesity f Petleum and Mineals c-0-n-0-s-0-e-1-fg-1-f-0
Phys10 Secnd Maj-14 Ze Vesin Cdinat: xyz Thusday, Apil 3, 015 Page: 3 Q7. Figue 4 shw an infinitely lng line f chage having a unifm chage pe unit length λ. The line lies at a nmal distance d fm the cente f a sphee f adius R (d < R). Detemine the ttal electic flux thugh the suface f the sphee esulting fm this line chage. λ d R A) B) C) D) E) λ R d 4λ R d λ R d λ R d λ ( R d ) Q8. Figue 5 shws sectins f thee infinitely flat thin insulating chage sheets, each caying suface chage density f magnitude σ. Find the magnitude f the electic field in egin 3. y x 1 3 4 A) 3σ/ 0 B) σ/ 0 C) 3σ/ 0 D) σ/ 0 E) σ/3 0 King Fahd Univesity f Petleum and Mineals c-0-n-0-s-0-e-1-fg-1-f-0
Phys10 Secnd Maj-14 Ze Vesin Cdinat: xyz Thusday, Apil 3, 015 Page: 4 Q9. An insulating spheical ball f adius 4.0 cm has 40 µc chage unifmly distibuted thughut the vlume. Find the magnitude and diectin f the electic field at a pint.0 cm fm its cente. A) 1.13 10 8 N/C twads the cente B) 1.13 10 8 N/C away fm the cente C) 0.45 10 8 N/C twads the cente D) 0.45 10 8 N/C away fm the cente E) 3.3 10 8 N/C twads the cente Q10. Tw chaged paticles, 1 and, ae fixed n the x-axis. 1 is fixed at the igin and is fixed n the psitive x-axis and at a distance d fm the igin. It is fund that the electic field is ze at x = d/3. Chse the cect answe. A) The electic ptential is neve be ze except at infinity B) The electic ptential wuld be ze at x = d/ C) The electic ptential wuld be ze at x = 4d D) The electic ptential wuld be ze at x = d/ E) The electic ptential wuld be ze at x = d/6 Q11. Fu identical chaged paticles, each f chage = 30 µc, ae fixed at the cne f a suae f length 10.0 cm. Hw much wk is euied, by an extenal agent, t mve ne f them t infinity? A) 19 J B) 19 J C) 510 J D) 105 J E) 105 J Q1. Figue 6 shws tw paallel plates sepaated by a vetical distance f d = 0. m. The ptentials at the uppe and lwe plates ae 100 V and 900 V, espectively. A paticle, f mass m = 0.1 kg and chage = 500 µc, was eleased fm est, dwnwads, fm the uppe plate. What is the kinetic enegy f the paticle when it eaches the lwe plate? d = 0. m (m, ) 100 V 900 V Eath Level A) 0.6 J B) 1.5 J C) 0. J D) 3.1 J E) 0.4 J King Fahd Univesity f Petleum and Mineals c-0-n-0-s-0-e-1-fg-1-f-0
Phys10 Secnd Maj-14 Ze Vesin Cdinat: xyz Thusday, Apil 3, 015 Page: 5 Q13. The gaph (Figue 7) shws hw the chage f a capacit vaies with the ptential diffeence acss it. Use the gaph t find the enegy sted in the capacit when the ptential diffeence acss it is 1 V. 4.0 Chage, Q (µc) 3.0.0 1.0 0.0 0.0.0 4.0 6.0 8.0 10 Ptential Diffeence, V(V) A) 3 µj B) 63 µj C) 17 µj D) 3 µj E) 48 µj Q14. Tw capacits, C 1 and, C ae cnnected in seies t a 40 V pwe supply. If the capacitance f C 1 = 35 nf, and f C = 85 nf, find the vltage acss C 1. A) 8 V B) 1 V C) 16 V D) 40 V E) 4 V Q15. Figue 8 shws 6 identical capacits, each with a capacitance f 1.0 μf. Find the euivalent capacitance C e between pints A and B. C C 1 C 4 C 6 C 3 C 5 A) 1.5 µf B) 4.0 µf C) 3.0 µf D).5 µf E) 9.0 µf A B King Fahd Univesity f Petleum and Mineals c-0-n-0-s-0-e-1-fg-1-f-0
Phys10 Secnd Maj-14 Ze Vesin Cdinat: xyz Thusday, Apil 3, 015 Page: 6 Q16. An ai-filled paallel plate capacit has a capacitance f 5.0 µf and a plate aea f 60 cm. What is the enegy density sted, in J/m 3, between the plates if the ptential diffeence acss them is 8.0 V? A).5 10 6 B) 5.0 10 5 C) 1. 10 6 D) 1.6 10 6 E) 8.9 10 5 Q17. An ai-filled paallel plate capacit with a plate aea f 1 cm and a sepaatin f 1.5 mm is cnnected t a battey. What happens if the gap is filled cmpletely with mica f a dielectic cnstant 4.0 while the battey is cnnected? A) The enegy sted in the capacit inceases. B) The enegy sted in the capacit deceases. C) The enegy sted in the capacit emains the same. D) The vltage acss the capacit inceases. E) The vltage acss the capacit deceases. Q18. At what tempeatue will aluminum have a esistivity that is thee times the esistivity that f cppe has at 0 C? At 0 C, the esistivity f aluminum is.75 10-8 Ω.m and the esistivity f cppe is 1.69 10-8 Ω.m. The tempeatue cefficient f aluminum α Al = 4.4 10-3 K -1. A) 1 C B) 50 C C) 130 C D) 600 C E) 40 C Q19. A cntinuus beam f electns, f cuent 15 ma, is incident n a taget. Hw many electns stike the taget in a peid f 3.0 s? A) 1.80 10 19 B) 1.37 10 19 C) 7.1 10 19 D).16 10 19 E) 1.56 10 19 Q0. A light bulb, has a esistance f 15 Ω, is cnnected between the teminals f a 10 V suce. If the tempeatue is nt igned, which ne f the fllwing answes can be the expected utput pwe f the bulb? A) 840 W B) 950 W C) 1000 W D) 1800 W E) 5000 W King Fahd Univesity f Petleum and Mineals c-0-n-0-s-0-e-1-fg-1-f-0
F = k 1 F = E = ma U =p E τ = p E Φ = Suface E. da in Φ c = E. da = 0 σ E = E = σ E = k E = k 3 R kλ E = B V = V V = E. ds = B V = k, E U x A i= 1 i A N ki V = U V V V =, Ey =, Ez = x y z 1 = k U = W C = V C = κc ai 1 0 C = d L C = π b ln a ab C = 4π b a C = A 4π R 1 U = CV 1 u = E I = dq = JA dt R = V L = ρ I A J = nev d J = σ E ( f paallel plate capacit) R = R [1 α( T - T )] 0 0 ρ = ρ [1 α( T - T )] 0 0 ( f cylindical capacit) ( f spheical capacit) P = IV ------------------------------------------------ v = v at 1 x - x = v t a t v = v a (x-x ) Cnstants: k = 9.00 10 9 N.m /C 0 = 8.85 10-1 C /N.m e = 1.60 10-19 C m e = 9.11 10-31 kg m p = 1.67 10-7 kg g = 9.80 m/s µ = mic = 10-6 n = nan = 10-9 p = pic = 10-1