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exam_2_tuethur - PHYS 122 Exam II November 3 2011 I Prof S...

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Unformatted text preview: PHYS 122 , ' ' Exam II November 3, 2011 I Prof. S. M. Bhagat Name: T] ’6‘“ (Sign in ink, print in pencil) Notes ’ ‘ ’ l} 1) There are four (6) problemsin this exam. Please make sure that your copy has all of them. ; 2) Please show your work indicating clearly what formula you used and what the symbols mean. Just writingthe answer will not get you full credit. In stating. vectors give both magnitude and direction. ‘ - \ 3) Write your answers on the sheet 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. ‘ d ' 1m Take Care! God Bless You! 9N'm2‘ c2 so = 9x10‘12 5 ” m k=9x10 Mass of proton mp = 1_6x10*27 kg, Mass of electron me = 9x10~31 kg Elementary Charge 9 = 1.6x10‘19 C N0 CALCULATORS! 3 Probl Write down Gauss’s Law for an E — fieldj? and use it to Show how yeu would generate the E — field shown below: . r v (6,10) Prob 2a Under stationary conditions, where would the extra charge on a conducting object reside? Why? (4) idfi‘ffiflmfix Cfi'mwb’amfi mflhve w m 61%: MW t" We‘wfiW“ 4M 5' 52> Etmaflewg ' 5:9 an?” aficpq Mam/5&2 MW‘S’E" W'MW W S A . ‘W Prob 2b Why is the surface of a conductor an equipotential? r r (4) r , more? r/fl ‘ ggflwr? M M‘fi' v “i: __ r tm [MW @«Mfg W‘Qmiu MM Law; WM~ ” _ y . - p gvg—u—a’” “9 m” AVE” ProbZC Two conducting spheres are connectedrby a copper rod and carry charge. If R = 10r, What is the ratio? of the E -— fields, > E( R) and E( r) on the surfaces of the spheres? Why? ’ v (8) 2 Prob 3a In order to charge a capacitor, one requires U E = 2Q— Joules of work, Where does this energy go? Why? 7 _(6) The “fl’mw?é 54m C‘m“% EwTLfiW VibWflérr’“, w flag: 2;» “a; gripmfiWL.." aflfle W45": ' Gm REE.» 1 m E’rwe~ «a . ‘W Prob 3b ' In the circuit shown, which capacitor has (i) the highest, (ii) the lowest charge? Why? . V 7 .. 7 (10) (:Mmm; flmagvfig A?“ A muambm 1, Egg? EI:£)LL£7 1:2, :§§“£I:¢;~ (3,3) 4"“ pomfi» 115? Fwa 43F Prob 4b 'For the circuit below, when the switch is closed, which'fesistor has (i) the hi ghost? (ii) the lowest current? Why? 9wa ,4 PrOb 5a Why does the time constant for a RC Circuit depend on both R and C? . .(5) TM 1w~mw_ ImiV'AWM WWWL‘Wfim. ' mwa wa cwme I What; M ngw M? an , W «a .LEY‘lougk, R, ‘me W 32 (Mt: SM m; Q‘tax‘i’fi’ fiwww' , 15M“ 34-» My“ kmfi’” Wt; w ‘ m c a? (E: {if 59 (Jo /m/§m-W c “x v gawk Y4«WWMQ % ‘éwm M79 Be: c ‘7 I Prob 5b In the circuit shoWn What are (a) the currents (i) just after the switch is closed (ii), a long time later? _ 0)) potential across long time later? Why? (15) R1 =R2= g=10V 10 Prob 621 How do you distinguish between an —' field and a 5 4 field? ' (S) («QWJ e, ‘3’ M fiwmwm 5"“ MW‘L‘Waw t, m w wacmfis % Megapla in m {3% K WW PMFQ’QW W‘QMM Fry-s; a, [.14 w}. 11 Prob 6b A deuteron [q = 1.6x10'19c, m : 3.2 >2 10‘27 kg] with a velocity of Vi )3 is introduced in a region where E = B 2 . (i) Show that the deuteron will move in a circular orbit in the xy-plane (6) (ii) If you double its velocity, What happens to its angular velocity? (5) ’2’ ...
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