106-19992-FIN - PROBLEM (1} (25 points) 0-9 - 6W Wfim®...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: PROBLEM (1} (25 points) 0-9 - 6W Wfim® Two infinitelyr large shefls of charge are placed parallel to each other. as shown in the figure. The surfaeechergedcneitica a1: 4x1HCimz and- a: ="-'-8"x* 1H Ciml'itr'ci tlinit'cvrmlyr distributed over the slicets. {Take' £6 =9 >4 "H? (gm-mg}.- ' I. (it) Find the directien and magnitude of the electric field E. in regions i'. H. and Hi. State the ' 3 cm-——>-I direction according to the axes given. " ('1‘! a, celled-fiat Gfluflldm Wfiq : : LGaUflth-«t cg with End W5 e-f‘nm d- “‘4. GMSL' In»: M @ jfiw' Gaels-um wfiqfij gé’g' 63“ = alt-w:- ‘_"" “E15: Ear/‘12:“; .5 I" ” Erfil (13} Find the potential difference between points A and B. t f e a a q “j; ' "'6. 1 'IEE' 43 ———> vb -11; = aye“. a? #4?de )+{-fe3-as) 1- C E II 1'! c U-Uf-EZJJE +6... Eds =—§-m"(fiil+ entire; 5 :1. C- '5’:ch EE 7-” 314‘;- Phjls 1'95 Finalfim Page” June hm 1-0 - ' PROBLEM {2] {15 points) ' Two erieal. thin conducting shells. with retlii e and b are placed fer . but ennnected to each other 1 thin. long ennduettng 1wire 15 shown in the figure. The III are uncharged. A point charge+qietben planed |Entire eenternfthe target-sphere. Find the chargedien'ibtttinne, intlueednn the inner and outer surface: of bath spheres. in terms of the parameters given. M3 cling: . 5L; 1a Phylflbfinttifim Pup-#9 M5,!“ 1 1 PROBLEM (3} (15 points} '- t“ The circuit shows an ideal battery, two cspuci- - totsC.andCz,sresistotRsndaswit¢hS.With _ ' R capacitors completely uncharged, switch 5 is closed on point a. When C1 is completely I | I charged,3isthrownfromatobsttintet=fl. V Cl ('4 (a) When equilibrium is reached (i.e.. 1—) on) - what is the potential difference across each 5 capacitor? a b '- "' ' - :- 0“) WW C1 v.1. mFiM chat/v3th Mel-«Mac is ch = CH, if 5 s mm m as b saw-cm m . Mi‘f‘tbullLJ Lew-em ....C', Ml. a3 sum W M-f-iutal cWW be” .n ,. . - qwsjuit =c,v I can" +c',_UJ = C, V .I .r ii Up =U'L =i/ I}! V; - u—E—L— V ¢I+¢L {b} How much energyr is dissipated as heat in tesistor it from t = D to tn on? q——l—I-C| .> t j 'I i;I___'_c I. L ..Mwa~1uhm-tpa§b,d z. ~J-—-—¢+tt V Phys we Final Emu masts June 5. 20m PROBLEM {4) (15 points} A battery of V volts is connected across the ends of a cylindrical conductor of length L and resistivity p. as shown in the figure. The number of free electrons per unit volume of this conductor is n. In terms of these parame- ters, find the magnitude and direction {accord- ing to the given axes} of: [a] the current density J in the conductor: (h) the drift velocity YD of the free electrons in the conductor; --a [c] the magnetic field B at C. inside the conductor. at radial distance r from the axis. Usnhj Mpm's (aw, we. Md d5! = 33 [Sec-19:19 Phys ME Fina-t Emu: i‘yo the Bra/{E} an, : fir?) —9 B: ---h v fie bi" = 15:“ ‘3 __.___._.......___._J AJF .2. JIM5.2mCI PROBLEM (5) (15 points) Apointlchsrgeq.withmasamisprcectedintoare~ on of uniform magnetic field B, wijth an initial W:- ocity 1'. making an angle of s 1with the magnetic 12:13:. a; shown in the figure. Sincepglflraloci ofthe particle has a Went to mag- neticgc field. the particle 1hull move in a helical path about the direction of the field vector. (a) Does the horizontal velocity component affect the radius of the helical path? Explain. NG- "Mc- prmaimm mmfim dflwm’m W oi Me Warm. - i -a L5, = “m 9 «a some ems... a...me cumin Helical W = you + spied-c541 Tim. mew; of‘hut mm m i. rota/ha 4e MUCMJMdhb-Att U1. M 915': U}: . (h) Express R, the radius of the helical path, interms of the parameters given. elf ‘_MU"M;1§F R=iqT§— fig" glib (c) Find the distance x, where the point charge crosses the horizontal line that passes through the point of projection. PhysIDGFtnniEum Mei-’9 JuneJJtfll PROBLEM {6) (15 points) A thin wire of resistance R is bent to forth a square loop with sides of length L. This loop travels at constant velocity 1' through a re ion of width It in which a uniform magnetic fie d B is resent, as shown in the figure. Draw the gra it of t induced current in the loop as a function e x. which denotes the position of the right hand side of the Imp. Label the clockwise direction of the current as positive, and the counterclockwise direction as negative. in your graph. Give the magnitudes of the current on the graph as well. :xxxxxx{ XXXXXXI )4 I X I x: 'l‘ I X X K K X X: l. :x x x x x x: Btintethepsae} TL“- JCiLU‘ is zero wines Wimp r}. not sit "I‘m field; H: is- BLJ' .WL‘“ W— lonw is» caskets v: M can. as a. 3L1. when 41.1,:us PM'H euj Behring Mflfifl} Ms W H: [5 BL'CL— (x—zcfl when M19011 'gaori-iqfiflq lamina W; 435 V5 xgwit” 4%. i.‘:—d¢‘=- 3::— Phys ms Fm: 5mm Fuse $9 ole : 1%0‘ = — (slmof the 1.3%") ir- Jm5,2000 PROBLEM (7) {15 points) 1 5 f The circuit shnws three ideal batteries. three resistm-s, an ideal inductor. Initially switch 3 is open. but closed at time t: D. (It) Find the potential difference across the inductor, just after the switch 5' is closed. ln-ii-iafiflu! aw. iciui L41de sari-r? W awn; 4w; WMWH a rt} itadsmMcpucfirmdtst 13:5 Ma WM wwrlwi' fem): wilt MM (MM. FW- I'wrl fife-E : +3+tht=°)—?=o -—J Mitwfiiéfil 4344. M6 0? Mtgfiuw “nadir-Fa S'L‘Ai dot W Winona WM ‘i‘vu, Eufi “gawk M 2-4 {b} Find the current through the inductor. a "long' time after the switch 5' is classed (ism. t —> on}. A [diam J an I'M ads “th. asW'i film. Tim'ch iii-bit“) =0: Leftism hm. mwwi v34 loo-p baf-t. PhysiflfianaiEm WW9 Imim ...
View Full Document

This note was uploaded on 04/09/2012 for the course MATH 120 taught by Professor Onurfen during the Spring '12 term at Middle East Technical University.

Page1 / 7

106-19992-FIN - PROBLEM (1} (25 points) 0-9 - 6W Wfim®...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online