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Exam1aA

# Fundamentals of Physics, (Chapters 21- 44) (Volume 2)

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Unformatted text preview: JUL-15-ZOOB 08:13 PHYSICS DEPT/BOSTON UNIV +1 61'? (353 3333 P.001 PY 212 I Name Exam 1 Ahlam Al—Rawi Discussion (18) 1. (a) A particle with charge 2 #0 is placed at the origin, an identical particle, with the same charge, is placed 2m from the origin on the :v-axis, and a third identical particle, with the same charge, is placed 2 m from the origin on the y—axis. The magnitude of the force on the particle at the origin is: i. 9.0 x 10-3N {3‘ J 1." :c ~2~ ii. 6.4x10“3N 3 W3”. 1” /r-/: /‘2?X/O A/ . _ 1 L <1i1. 1.3 X10 ES; FU‘ = 17“?) 1- iv. 1.8 x 10‘2N r" v. 3.6 X 10‘2N (b) What is the direction of the electric ﬁeld at point P in each of the three ﬁgures below? Indicate the direction with an arrow on each ﬁgure. 3’ (b) (c) The ﬂux of the electric ﬁeld (24 N/C)% + (30 N/C)3~' + (16 N/C)1% through a 2.01112 portion of the yz—plane is: -.. ..‘ A i.32N-1r12/C .4. :E-ﬂ :— 2L/ 5!," . 2m“; ii. 34N-m2/C -9324 CL iii. 42N-m2/C ‘+’ c; M Wu: V. 60 N - 1112/0 (d) A particle with charge 5.0 n0 is placed at the corner of a cube. The total electric ﬂux in N - In/C through all sides of the cube is: 1.0 (11.7.1x1043 +=§_ _-_. 7-./;(qu 8': iii. 9.4 x 104 iv. 1.4 x 105 v. 5.6 x 105 JUL-16-2008 09:14 PHYSICS DEPT/BOSTON UNIV +1 61'? (353 9393 P.002 2 (24) 2. In the ﬁgure, particles 1 and 2 are of charge q1 = Q2 = +3.20 x 10‘19 C are on a y-axis at distance d = 17.0 cm from the origin. Particle 3 of charge q3 : +6.40 x 10"19 C is moved gradually along the x—axis from a: = 0 to a: = +5.0 m. (a) At what values of at will the magnitude of the electrostatic force on the third particle from the other two particles be minimum? F30 a1- x":o m,nﬂqym V‘IIl/C. (b) At what values of cc will the magnitude of the electrostatic force on the third particle from the other two particles be maximum? --"'“—"’ t)s/~.,_ 2x; x‘ﬁ/d‘v!“ :; O " #7”— 4 if; a 61* x 3 o} 2‘ .— 9- X 9‘ :. O : x 0%,, (c) What are the minimum magnitudes? P; o (d) What are the maximum magnitudes? L} 1. cal/ff” C 3) (L7? ta”) 1“ JUL-16-2008 09:14 PHYSICS DEPT/BOSTON UNIV +1 61'? (353 9393 P.003 3 (26) 3. Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric ﬁeld versus radial distance r from the common axis. The vertical axis scale is set by Es = 3.0 x 103N/C. f... t;_-LTYY' : (b) What is the linear charge density of the shell? JUL-16-2008 09:14 PHYSICS DEPT/BOSTON UNIV +1 61'? (353 9393 P.004 4 (20) 4. Figure (a) shows three particles on an as—axis. Particle 1 (with a charge of +5.0 [10) and particle 2 (with a charge of +3.0 l.LLC) are ﬁxed in place with separation d = 4.0 cm. Particle 3 can be moved along the cc-axis to the right of particle 2. Figure (b) gives the electric potential energy U of the three—particle system as a function of the sit—coordinate of particle 3. The scale of the vertical axis is set by Us = 5.0 J. __........_ m. ..H...E_.m... M...” ”m... M; i is ..‘..___mi..___.._~._m...,_i.___. ,..... W. .WWMS (b) (a) Calculate U12. Mil: KELEll :. gxloqxs‘X/emé {BX/oil T M 11-31353” (1)) What is the charge of particle 3? 0969— 7120-1734} ”520 JUL-15-ZOOB 03:14 PHYSICS DEPT/BOSTON UNIV +1 61'? (353 3333 P.005 5 (20) 5. The ﬁgure shows a thin rod With uniform charge density of 2.00 ,uC/m. olq :. 9N al- X XP 03' (a) Write the electric potential at point P if d = D = L/4.00 in terms of an integral. (b) Evaluate the integral you found in part (a), making use of the following integral identity: JUL-16-2008 09:14 PHYSICS DEPT/BOSTON UNIV +1 61'? (353 9393 P.006 6 (24) 6. In the ﬁgure below, V = 10 V, C; = 10 ,uF, and Cg z 03 = 20 pF. Switch 8 is ﬁrst thrown to the left side until capacitor 1 reaches equilibrium. | 51 l: l V -[ I01 1C2 \$63 (a) What is the charge on capacitor 1 at this point? *6 *6 \/ C‘ —- Q IoV A (b) Next7 the swith is thrown to the right. When equilibrium is again reached, how much charge is on capacitor 1? 2‘1 .. E: ._ c. 3 Ci" '1‘ 2 7'1 '3 (Q (l L r. ‘1, f‘lpt ‘13:- 3,5 " 10x11?— 20 300 -_ y = 20 M c q; 2-31 cl.-+‘-1q.:-.€6 c. ‘ Lia/4.6.. (c) What is the potential difference across capacitor 3? 2 '- c? (/0 he a L W U: 5 V: «J— 3 /“1 ' c3 10;“,— (d) What is the stored energy in capacitor 3? I _ 4 #5" u: .L 4 ‘12" @ﬁﬂé‘éc) = (/0 no .-: liar/ad JUL-16-2008 09:14 PHYSICS DEPT/BOSTON UNIV +1 617 853 9393 P.007 7 (9) 7. A certain cylindrical wire carries current. We draw a circle of radius 7" around its central axis in ﬁgure (a) to determine the current 2' within the circle. Figure (b) shows current 2‘ as a function of T2. The vertical scale is set by is = 4.0 111A, and the horizontal scale is set by r? = 4.0 1111112. Calculate the current density. (9) 8. The ﬁgure here shows a portion of a circuit- What are the magnitude and direction of the current 2' in the lower right—hand wire? TOTAL P.007 ...
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