Phy102&09-I-final

Phy102&09-I-final - Kuwait University Physics...

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Unformatted text preview: Kuwait University Physics Department Physics 102 Final Examination January 18, 2009 Time: 11.00 a.m to 13.00 p.m. ------------------------------------------------------------------------------------------------------------ Name…………………………………Student No.……….……… Instructors: Drs. Abdel-Karim, Afrousheh, Davis, Kokay, Lajko, Marafi, Rakhshani, Razee, Sabah & Sharma Fundamental constants k = = × ⋅ 1 4 9.0 10 N m / C o 9 2 2 πε (Coulomb constant) ε o = 8.85 × 10-12 C 2 / (N · m 2 ) (Permittivity of free space) μ o = 4 π × 10-7 = 1.26 × 10-6 H/m (Permeability of free space) e = +1.60 × 10-19 C (Elementary unit of charge) N A = 6.022 × 10 23 (Avogadro’s number) g = 9.8 m/s 2 (Acceleration due to gravity) 1 eV = 1.6 x 10-19 J (Conversion from eV to J) 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 1 2 3 4 5 6 7 8 9 10 Total Prob. Ques. The credit points for each problem are indicated in parentheses. The conceptual questions carry 1 point each. PART I. Solve the following problems. Show your solution in detail . 1 . Four point charges are placed in the xy-plane as shown. Q = 8 μC and q = 1 μC. Find the direction of the net electric field at O relative to the positive x-axis. [3 points] o x y y x E E m kQ m kq E m kQ m kq E 135 2 1 4 1 2 1 4 1 tan tan ) 4 ( ) 2 ( ) 4 ( ) 2 ( 1 1 2 2 2 2 =             − + + − =         = Θ + − = − + = − − 2. A plastic spherical shell (R in = 2 m, R out = 3 m) centered at the origin has uniform volume charge density ρ. The magnitude of electric field at point P( 4 m, 3 m) is E = 16 N/C. What is the value of ρ? [3 points] [ ] 3 10 3 3 2 3 3 2 2 2 / 10 6 . 5 ] ) 2 ( ) 3 [( 3 4 ) 5 ( 4 ) 2 ( ) 3 ( 3 4 5 ) 4 ( ) 3 ( 4 m C m m m E so m m Q m m m r with Q r E A d E enc enc symmetry the to due E − × = − = − = = + = = = ⋅ = Φ ∫ π π ε ρ π ρ ε π 4 4 4 4 8 4 4 4 4 7 6 3 m 2 m ρ x y P (4 m, 3 m) 2 m 2 m 2 m y x-Q Q-q q O 3. An infinitely long metal cylinder (R = 0.5 m), with its axis along the y-axis, has uniform An infinitely long metal cylinder (R = 0....
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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&09-I-final - Kuwait University Physics...

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