# Q6 - PHYSICS 2B(a QUIZ 6 SPRING QUARTER 2000 PROF SCHULLER...

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Unformatted text preview: PHYSICS 2B(a) QUIZ 6 SPRING QUARTER 2000 PROF. SCHULLER MAY [2. 2000 Coulomh' s Law l3 : I (1—131? For a capacitor 42:80 r“ CV = Q 1 r . -' _' ] EDA . Gauss s Law §E - dA = —I p (N C : — (Parallel Plate) s 80 v d . i. . l‘ '- 1 1 qiqi . Definition of PotentIal V = I E - dl U = -——~——Z——'-r Electrostatic Energy ” 47:5” 2 tej rtj 2 £028.9x10'” C 2 R=p—]-"- 12:1"—v Nm A :13 E = iv V = R1 RC Circuits Char ' ‘ F : qv X B F = iL X B rszB §l§ dl = ADJ] d3 Amperc‘ s law B(r) = E a 2m 1. In the circuit shown in the ﬁgure below. calculate: a) the time dependence of the current through the resistor with S disconnected. b) the time dependence of the current through the resistor with S connected. c) the time dependence of the charge in the capacitor with 5 connected. Assume that the initial charge in the capacitor is q(0) = 0. PHYSICS 213(3) QUIZ 6 SPRING QUARTER 2000 PROF. SCHULLER ' MAY 12. 2000 2. Sineg ionized atoms that have been accelerated through a potential 01‘800 V describe a circular trajectory of lo-cm radius in a magnetic ﬁeld of 0.20 T. What is the mass of these atoms? In. “‘41-'33... ‘ "I" AI «I .. o- 3. A wire of 62.0 cm length and 13.0 g mass is suspended by a pair of ﬂexible leads in a magnetic ﬁeld of 0.440 T (see ﬁgure below). What are the magnitude and direction of the current required to remove the tension in the sdpporting leads? (52.0 cm —*l 4. (BONUS) Name an important invention in the ﬁeld of electronics. L 1;! f (— TLC... L. 5* Harmd 12C. Llflf-JA: , 9.9 'H'“ Luv-u? eguokbéh 91% .. 1 -' =3 - ﬂ ~.h :g—u- : C) E'In- E'- hC'.) E a” 1?. C “HF-‘- 'Snblh lulx... For ‘I'L-L Luff-lm+ 1 Ann: Mr- —R e G) FL 6%) —-M.M 1 -—-C E “mu. ‘Hm. Sw:+f__,L-ﬂ glam J #14. “Pm:+ﬁf L: chaff" ctrcw‘vHA 1 5O cuff-ME? 4-!de 'erntnnxk “HM-L rqtlﬁ‘hrr' laugh. “[1; “ELI lanﬂ—U‘j); Su .3“ (ﬂak-S ("[u- R n J— E. (M tun-l C ‘- =3 "5 I “QMMU. whim winks. Liam ~H-k fwA‘Jﬁ, Lynn Shar‘l' -¢Lfrgwl‘l‘ I +Lx.L mpacthr‘, '59 4"“. that? almafk Emmdidcl'tfb c. i 6w“ h 1 m- (9 ﬂ 5’ ) .k. G) (LGHOHH c. Q.10T)‘- (.19, MIL M'; ___————-——-~—-‘——"—"-*-~——-—- ; (r500 rl cjtd‘ laud. HALL] wry-mi mud" rtcah+ ® \?3\ = mg 7?.3 r’ a wig (at ‘Fﬁx 1 195 E‘ ‘9 /' D Luvrqp¥ {K J_. 4!: a -—-s- 111613 kahuna rorwa F3 '3 :13 Mes 1‘ “"3 = I: __..._—- a” m (313%) (1% m/SL) (.61m)‘ (AH T) = o.%"-} A ____________—____—_ PHYSICS 213(h) QUIZ a SPRING QUARTER 2000 PROF. SCHULLER MAY 12, 2000 a l , A . Coulomb a Law F = r For a capacnor .0 l" CV = Q 1 . -« ~ 1 80A causs a Law 3GB; - (M = ——‘[ p av c = T (Parallel Plate) 5 V . . . _ . P *- -' l l qiqi ‘ v Deflnltlon of Potential V =I E - d] U: — —-— Electrostatic Energy °° 2 Iii s,,:s,9><lo” “2 R=p£ =i"—" Nln A qB E 2 —6V V = ‘RC Circuits F = qv x B F = 11. X B r:uxB ﬁﬁ'di = #uIJ'dE Ampere's law BU) = 52—; In the circuit giVen in the ﬁgure below, the currents are unknown. :1) Write down some of the equations which he] currents. b.) Write down the differential equation for the charge across the capacitor. c) Solve for the time dependence of the charge across the capacitor assuming that the initial charge q(0) = 0. [3 you solve for the unknown PHYSICS 2B(b) QUIZ 6 SPRING QUARTER 2000 PROF. SCHULLER ' MAY 12, 2000 2. Sineg charged ions that travel at a speed of 2.0 x IO'5 m/s enter a uniform magnetic field of 1.20 T that is directed perpendicular to the velocity of the ions. The ions are observed to follow a circular trajectory of 2.20-m radius. Calculate the mass of the ions. 3. A metal wire of mass m slides without friction on two horizontal rails spaced a distance d apart, as in the figure below. The track lies in a vertical uniform magnetic field B. There is a constant current 2' through generator G, along one rail, across the wire, and back down the other rail. Find the speed and direction of the Mre's motion as a function of time. assuming it to be stationary at t = O. 4. (BONUS) Name an important invention in the field of electronics. 'l #1 . ' mag-LIL NH“. ' I1. = 11- + 1'5 @ @D loop [aw-S Z "Inf “3/; :0 {- -1'.r - 11R =c3 Lab“ .313 34:, - 119 w 6:5 W pun-J4. (Mn esmx+tnm 'hvnlML-j 11 musk c5 solH anumuk 12E Er II {F IIY- -1312 :0 "=3 1.: £_]'_1£ “' r Lain Inga-GILL 1% _ a K 1‘41”; =3 {1. 37 ~I‘1-“L3 f/r “I1. “:33 'I3 .3 (1+ I"’yfr) not») nih— UH "Huh 0%») E z/r #11, ‘ .6 H 12 '= C) (HR/r) t v: K :(H; -5; +I1K=CD i ‘6 _ __ If IL ' r —' E- 7) alt z ‘é. )3 :1") : .._-- - ——- *- ﬂ 1' (at; C1 + "' .> ® 3E3 gwcn—I. +14. mmgMb}. 4134 E L, _L_ {a 34- ind-mink n1: 'H-uL mrrLud" J 44-41 M 'anL-EL CARJ LIKE-inch?) fﬂf—Cl" [mama/L {MI-Q“, 4.1-... FerL c4, +6, F M1w¥bw5 luau-.1 =53 F'— MA‘ 1:")- m: .2: m, «cm om m =(1:H= T + Slém 'H~L 'Fo-ru. 1,. Jru “Hut 1% “(4,; 1”“ wins waka x. +;. 1L4 L2H, ...
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## This note was uploaded on 03/23/2009 for the course PHYS 2b taught by Professor Schuller during the Spring '08 term at UCSD.

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Q6 - PHYSICS 2B(a QUIZ 6 SPRING QUARTER 2000 PROF SCHULLER...

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