Q1. In figure 1, Q = 60 µc, q = 20 µc, a = 3.0 m, and b = 4.0 m. Calculate the total electric force on q due to the other 2 charges.

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1 Phys10 Secnd Majr-08 Zer Versin Crdinatr: Dr. I. M. Nasser Saturday, May 3, 009 Page: 1 Q1. In figure 1, Q = 60 µc, q = 0 µc, a = 3.0 m, and b = 4.0 m. Calculate the ttal electric frce n q due t the ther charges. A) 0.69 i ˆ (N) B) 1.1 ĵ (N) C) 0.34 i ˆ (N) D) 0.69 i ˆ (N) E) 0.34 i ˆ (N) Q. In figure, fur psitive charges are placed n the circumference f a circle f diameter.0 m and fixed at their psitins. If an electrn is placed at the center f the circle, then the electrn will [Take Q = 60 µc, q = 0 µc]. A) mve Suth West. B) mve Nrth East. C) mve tward the West. D) mve tward the Suth. King Fahd University f Petrleum and Minerals c-0-n-0-s-0-e-1-fg-1-f-0

2 Phys10 Secnd Majr-08 Zer Versin Crdinatr: Dr. I. M. Nasser Saturday, May 3, 009 Page: E) stay at the center. Q3. A prtn enters a regin f unifrm electric field E = 80 ĵ (N/C) with an initial velcity v = 0 i ˆ (km/s). What is the speed f the prtn.0 µs after entering this regin? A) 5 km/s B) 15 km/s C) 4 km/s D) 35 km/s E) 4.7 km/s Q4. An electric diple cnsists f tw ppsite charges, each f magnitude C, separated by a distance d = m. The diple is placed in a unifrm electric field f strength N/C. Calculate the trque exerted n the diple when the diple mment is perpendicular t the electric field as shwn in figure 3. A) N.m. int the page. B) N.m. ut f the page. C) N.m. int the page. D) N.m. ut f the page. E) N.m. int the page. Q5. Cnsider a cnducting neutral spherical shell having an inner radius f 3.70 cm and an uter radius f 4.50 cm. A psitive pint charge q is placed at the center f the shell. The magnitude f the electric field a distance 5.00 cm frm the center f the shell is 500 N/C. Calculate the magnitude f the charge density n the uter surface f the shell. A) C/m B) C/m C) C/m D) C/m King Fahd University f Petrleum and Minerals c-0-n-0-s-0-e-1-fg-1-f-0

3 Phys10 Secnd Majr-08 Zer Versin Crdinatr: Dr. I. M. Nasser Saturday, May 3, 009 Page: 3 E) Zer Q6. Figure 7 shws a Gaussian cube f side.0 m. The cube is placed in a nn-unifrm electric field E = 4 i ˆ + 30y ĵ + 16 k ˆ. The electric flux (in N.m /C) thrugh the shaded face is: A) 40 B) 960 C) 640 D) 140 E) Zer Q7. Tw large thin nn-cnducting parallel sheets carry psitive charges f equal magnitude that are distributed unifrmly ver their uter surfaces as shwn in figure 8. Rank the pints 1 thrugh 5 accrding t the magnitude f the electric field at the pints, greatest t least. A) 1, 4, and 5 tie, then and 3 tie. B), 3, 1, 4, 5. C) 1,, 3, 4, 5. King Fahd University f Petrleum and Minerals c-0-n-0-s-0-e-1-fg-1-f-0

4 Phys10 Secnd Majr-08 Zer Versin Crdinatr: Dr. I. M. Nasser Saturday, May 3, 009 Page: 4 D) and 3 tie, then 1 and 4 tie, then 5. E) and 3 tie, then 1, 4, and 5 tie. Q8. Cnsider an infinitely large nn-cnducting flat sheet carrying a unifrm charge density σ = +0 nc/m and a lng thin wire carrying a unifrm charge density λ =.0 nc/m arranged as shwn in figure 4. The magnitude f the net electric field due t these tw charge distributins at pint P is A) 670 N/C B) 450 N/C C) 40 N/C D) 10 N/C E) 930 N/C Q9. A nn-cnducting slid sphere f radius R = 10.0 cm has a unifrmly distributed charge Q = C. Find the magnitude f the ptential difference between a pint at r = 50.0 cm and a pint n the surface f the sphere. A) 108 kv B) 07 kv C) 98.0 kv D) 340 kv E) 4.0 kv Q10. A prtn is released frm rest in a unifrm electric field f magnitude V/m directed alng the psitive x-axis. The prtn underges a displacement f 0.50 m alng the directin f the field. Calculate the change in the ptential energy f the prtn. A) 40 kev B) 40 kev C) 0 kev D) 0 kev E) Zer King Fahd University f Petrleum and Minerals c-0-n-0-s-0-e-1-fg-1-f-0

5 Phys10 Secnd Majr-08 Zer Versin Crdinatr: Dr. I. M. Nasser Saturday, May 3, 009 Page: 5 Q11. Cnsider tw cncentric cnducting thin spherical shells. The first ne has a radius R 1 = 10.0 cm and carries a charge Q 1 = µc and the secnd shell has a radius R = 0.0 cm and carries a charge Q = 10.0 µc. Calculate the ptential at a distance f 10.0 cm frm the center f the shells. Take the ptential t be zer at infinity. A) Zer B) 900 kv C) kv D) 450 kv E) 450 kv Q1. A particle f charge 3.1 µc is fixed at pint P, and a secnd particle f mass m = kg and same charge is initially held a distance r 1 = 0.90 mm frm P. The secnd particle is then released frm rest. Determine its speed when it is at a distance r =.5 mm frm P. A).5 km/s B) 3.5 km/s C) 1.5 km/s D) 4.5 km/s E) 0.50 km/s Q13. In a certain situatin, the electric ptential varies alng an x axis as shwn in figure 5 Rank the three regins, shwn in the figure, accrding the magnitude f the x-cmpnent f the electric field within them greatest first. A) 1, 3, then B) 1,, then 3 C) 3, 1, then D), 3, then 1 E) 3,, then 1 Q14. King Fahd University f Petrleum and Minerals c-0-n-0-s-0-e-1-fg-1-f-0

6 Phys10 Secnd Majr-08 Zer Versin Crdinatr: Dr. I. M. Nasser Saturday, May 3, 009 Page: 6 A.0-µF capacitr and a 1.0-µF capacitr are cnnected in series and a ptential difference f 1 V is applied acrss the cmbinatin. What is the ptential difference acrss the.0-µf capacitr? A) 4.0 V B) 1 V C) 3.0 V D) 6.0 V E) 8.0 V Q15. Each capacitance f the fur identical capacitrs shwn in figure 6 is 500 µf. They are cnnected t a 1000 V battery as shwn in the figure. What is the magnitude f the charge n each capacitr plate? A) 0.50 C B) 0.0 C C) 0 C D) 50 C E) 1.0 C Q16. Capacitrs A and B are identical. Capacitrs A is charged s that it stres 4.0 J f energy and capacitr B is uncharged. The capacitrs are then cnnected in parallel. The ttal energy stred in the capacitrs is nw: A).0 J B) 4.0 J C) 1.0 J D) 8.0 J E) 16 J Q17. King Fahd University f Petrleum and Minerals c-0-n-0-s-0-e-1-fg-1-f-0

7 Phys10 Secnd Majr-08 Zer Versin Crdinatr: Dr. I. M. Nasser Saturday, May 3, 009 Page: 7 One f the materials listed belw is t be placed between tw identical metals sheets, f area A, with n air gap, t frm a parallel-plate capacitr. Which f the fllwing materials will prduce the greatest capacitance? A) a material f thickness 0.5 mm and dielectric cnstant 11. B) a material f thickness 0. mm and dielectric cnstant 3. C) a material f thickness 0.3 mm and dielectric cnstant. D) a material f thickness 0.5 mm and dielectric cnstant 8. E) a material f thickness 0. mm and dielectric cnstant. Q18. A certain resistr dissipates W when cnnected t a 3.00 V ptential difference. When cnnected t a 1.00 V ptential difference, this resistr will dissipate: A) W B) W C) W D) 1.50 W E) 3.00 W Q19. Hw much wuld the temperature f a cpper wire have t be increased t raise its resistance by 0% ver the value it had at 0 C? The temperature cefficient f resistivity f cpper is (C ) 1. Neglect any change in length r crss sectinal area due t the change in temperature. A) 50 C B) 300 C C) 80 C D) 60 C E) 75 C Q0. Tw light bulbs perate frm a 10-V vltage surce. Bulb A has a pwer rating f 5.0 W and bulb B has a pwer rating f 100 W. Which f the fllwing statements is CORRECT? A) Resistance f A is larger than resistance f B. B) Resistance f A is smaller than resistance f B. C) The current thrugh A is higher than the current thrugh B. D) The resistances f the tw bulbs are the same. E) The currents thrugh the tw bulbs are the same. King Fahd University f Petrleum and Minerals c-0-n-0-s-0-e-1-fg-1-f-0

8 Physics 10 Frmula sheet fr Secnd Majr iˆ, jˆ and kˆ are unit vectrs alng the psitive directins f x-axis, y-axis and z-axis respectively. kq1q F =, F = q 0 E r Φ = E. da, E = Surface kq r kq kλ E = r, E = 3 R r qin σ σ φc = E.dA = ; E = ; E = ε0 ε ε σ σ E =, E = ε ε kq V =, W = - U r B U V = V B - V A = - E.ds = q A 0 V V V E x =, E y =, E z = x y z kq1q U = r1 Q ε 0A ab C =, C =, C = 4πε V d b a, 1 1 U = CV, u = ε E, C = κ C 0, dq I =, I = J A, dt V L R = = ρ I A = ρ [1 α(t - T )], P = IV ρ v = v + at 1 x x = v t + at v = v + a(x x ) ε 0 = C /N.m k = N.m /C e = C m e = kg m p = kg 1 ev = J g = 9.8 m/s micr ( µ ) = 10-6 nan (n) = 10-9 pic (p) = 10-1