Phy102&07-II-final

Phy102&07-II-final - Kuwait University Physics 102...

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Kuwait University Physics Department Physics 102 Final Exam - Semester II (2006-2007) May 30, 2007 (11.00 a.m. - 1:00 p.m.) Solutions Name: …………………………… Student No: ………………. . Instructors: Drs. M. Abel Karim, Bhatia, Davis, Farhan, Lajko, Manaa, Marafi, Razee, and Sharma (Fundamental Constants) 2 2 9 0 /C N.m 10 9 4 1 × = = πε k (Coulomb’s constant) ε o = 8.85 × 10 -12 C 2 / (N · m 2 ) (Permittivity of free space) μ 0 = 4 π × 10 -7 T.m/A (Permeability constant) | e| = 1.60 × 10 -19 C (Elementary unit of charge) N A = 6.02 × 10 23 (Avogadro’s number) g = 9.8 m/s 2 (Acceleration due to gravity) m e = 9.11 × 10 -31 kg (Electron mass) m p = 1.67 × 10 -27 kg (Proton mass) Prefixes of units m = 10 -3 μ = 10 -6 n = 10 -9 p = 10 -12 k = 10 3 M = 10 6 G = 10 9 T = 10 12 For use by Instructors only Prob. 1 2 3 4 5 6 7 8 9 10 Questions Total Marks
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1. A charge particle q = +10 nC (mass = 6.0 × 10 15 kg) enters perpendicular to a region of electric field E = 3.0 × 10 5 V/m with a velocity v = 2.0 × 10 5 m/s at the origin O. What are the coordinates (x, y) of the particle after 4.2 μ s? a. 2.2 m, 0.42 m O v E x b. 4.4 m, 0.84 m (Ans) c. 2.2 m, 0.84 m d. 4.4 m, 0.42 m e. 1.1 m, 0.21 m (3 points) m 84 . 0 10 2 . 4 10 0 . 2 v m 4 . 4 ) 10 2 . 4 ( 10 5 5 . 0 0 2 1 v m/s 10 5 10 0 . 6 10 0 . 3 10 10 6 5 2 6 11 2 2 11 15 5 9 0 0 = × × × = = = × × × × + = + = × = × × × × = = t y t a t x m qE a y x x x 2. A sphere of radius 0.20 m with a charge q = +8 μ C distributed uniformly throughout its volume is concentric with a conducting shell of radii 0.40 m and 0.50 m. The surface charge density on the outer surface of the shell is 3.2 μ C/m 2 . What is the net electric field at a distance of 0.60 m from the centre of the sphere? q a. 1.0 × 10 5 N/C b. 1.5 × 10 5 N/C c. 2.0 × 10 5 N/C d. 2.5 × 10 5 N/C (Ans) e. zero (3 points) Charge q' on the outer surface of the shell: μ C 10 C 10 0 . 1 50 . 0 4 6 10 2 . 3 4 . ' 5 2 2 = × = × × × = = π πσ r q From Gauss Law: 2 0 . r q k E q d encl encl = = ε A E N/C 10 5 . 2 ) 60 . 0 ( 10 0 . 1 10 9 ' ) ' ( 5 2 5 9 2 2 × = × × × = = + + = r q k r q q q k E
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3. The electric field due to a large sheet as shown in the figure is 4.5 × 10 6 V/m. What is the work required to move the charge –2 μ C from the point A to the point B?
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This note was uploaded on 11/03/2009 for the course PHY 101 taught by Professor Exams during the Spring '07 term at Kuwait University.

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Phy102&07-II-final - Kuwait University Physics 102...

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