fall 2008 - PHYS 122 EXAM II November 6 2008 Prof S M...

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Unformatted text preview: PHYS 122. EXAM II November 6, 2008 Prof. S. M. Bhagat Name: 50; (4 T-(ION (Sign in ink, print in pencil) Notes 1) There are six (6) problems in this exam. Please make sure that your copy has all of them. 2) Please showyour work indicating clearly what formula you used and what the symbols mean. Just writing the answer will not get you filll credit. In stating vectors give both magnitude and direction. 3) Write your answers on the sheets provided. 4) Do not forget to write the units. 5) Do not hesitate to ask for clarification at any time during the exam. You may buy a formula at the cost of one point. Take Care! God Bless You! N-m2 _ T¥—m ke=9><109 C2 ,,uo=472xlO7——A— _ 42F 50 —9x10 [n Mass of proton mp =1.6x10‘27kg Mass of electron me = 9 x10'“ kg Elementary Charge e ='1.6 x10"9 Problem 1. A conducting sphere of radius 2m is placed with its center at r= 0 and carries a charge of ~100 yC. Calculate the E ~field at F 1.9m and r= 2.1m. (16) Problem 2a Why is there a minus sign on the right side of the equations AP: —I_75 o A_.S AV= -—E a Q where AP is change in potential energy and AVis change in potential. (2, 2) mam M» T, mama a: w Wk MM ‘i’b .ass-awcfile 3' Eteklye w. w; 40va a CW“ ‘62" ,e M 5 are wan/l4. ” ‘4 l" I we“ ’-m§n% ‘rh w; Wan/le" “‘5‘” ~ $7M. A/P’ ,_ flEtA an a» ‘9 = "’ . W Q2 In order to place a charge Q on a capacitor C one has to put in 2— Joules of work. Where does this energy go? Why? (0 l if“, 'T'W‘S .eM W V5 flag; Problem 2c In the circuit shown which capacitor has i) the highest potential difference and ii) which capacitor has the smallest charge? Why? > (8) i F 3/“: $ PMM' \L J’- : 2 J'- fis CL 2 F _———-/ ‘._——- — v A” 30 1/3— - J— L é’*'\4 ' cs 6 — 5, 1‘ 413% S 6/“k 62: CV 50 3 x W 59% mm a 592': 9,4: 40/“c Vera. V1: A?" £6, 9h Pia/We Va) man» So Problem 321 Discuss the physical bases of Kirchhofi’s Rules. (3,3) M. CV11 etude 'PM'E‘WQGIA Us — 6 A =‘ "' A (“344.2me a; a» «Wu? AO 5-D M I'M 606? 1'5 2'24“) JiwC'rn’M/ AVLE l CHM‘ ‘7’ “’ f I 1 a £3 meg/ad JA 4}; a, (Mme/ham E rm, = 211‘». Problem 3b In the circuit shown, when you close the switch which resistor has i) the highest current and lot/2, (1°) ii) the lowest current? Why? Problem 4a In at RC circuit, (seen below) the characteristic time is T = RC. Why do both R and C appear in T? (6) awWZHS w Wm # EA 1:, lam/5a 2 37AM mm. .4 C CAM-«7M,» {Ir/21 4‘de amp ‘ W! a =cs MW c/W’“ t} .2 . Problem 4b Shown are two RC circuits. If both switches are closed at the same time which capacitor potential will reach 5 volts first ifi) a, = $2 =10Vorii).c:1=9V,e32 =10V ? Why? (10) M5. Two parallel plates have uniform g =100N/cf1 between them. Introduce a particle of charge ~q traveling at y =104m/s J7: . What 13 field, magnitude and direction, would you apply so that the particle goes through the plates undeflected. (16) ~14]? TE e A-a + A - ._ (ADN ‘ FE = a/ E a u» web :0 +0 34 awdeézi 4:9 55 MME' L’- 4’2"”? a - 7, [5%] Nam E "' a 5A 71W hM W1 "’ U—C / m&‘¢4 A x B \\ ‘l’ 7 / 4v 4/! 2 EA. Fa : ‘9‘ El , __ 0‘ a —' lb 0 + a, _2 1M " -— l° T a 6:4,”, 2 Problem 6 a) A moving charge in a g field goes on a circular path. Why is its kinetic energy constant? - (5) Tu alarm “‘4' “M a“ “W ?,D W m ccch é gm“ 5px, C": Canny?" sea 4W7— ka 0w W5- MW 5" ‘0". Camrfif («PAW (<39 Ewe-V56" b) What is the difference between a Coulomb E —field and a Non—Coulomb E ~field? (5) -» —> Problem 6 (cont’d! c) What is a Conservative Force? ‘ ad (4) A} W ,5 WM‘M 1 m a. :52 I. I L 7— (fig. ‘0' l maL—{f (at? «~6— ‘ZM rpm. (1) How do mass (m) and charge (q) help you to discover the Gravitational field (Q F) , the E -field and the 12 field? _ (6) ...
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