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ECE2317_Exam2_Spring_2005

# ECE2317_Exam2_Spring_2005 - {30 NOT BEGIN THE“ EXAM UNTiL...

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Unformatted text preview: {30 NOT BEGIN THE“: EXAM UNTiL TOLD TO START Student Number: instructor: “I ECE 2317 Appiied Electricity and Magnetism Exam 2 April 2., 2005 Part A "i. This exam is dosed book and chased notes. A crib sheet win be provided by the instructors._ NQcaEcuiators are ailoweci. 2. Show ail-of- your work‘ No credit will be given if the work required ta obtain the SOIUtiGhS is not shown. ' ' 3. Perform all your work on the paper provided“ 4. Write neatiy. You wéil not be given credit for work that is not easily legible. ' 5. Leave answers in terms of the parameters given in the probiem. 6. Circle your final answers. 7. If you have any questions, ask the instructors. You wili not be given credit for work that is based on a wrong agsumption. 8, You win have a feta! of 1 hour and 50 minutes to work the entire exam“ g Wﬁxam Score ‘ ar’kw‘i 150 Part A ISO Part A 14:12:.“150 Part 8 MW n 00 Totai Problem 1 (25 pts) "3. Consider the two spheripai perfect conductors as shown in the Figure. The :7 inner one has radious a [m]. The inner surface of the outer one is at a “mg; distance 13 [m} from the center of this spherical structure. The outer “‘3” canductor is grounded, and thé space between the two conductors; ls filled with a material with relative dielectric canstant-fa; 7. Suppose that on the \Q "#113 I I J \ (\ inner Cmdumm theremigléﬂneﬁ Charge 9' LC} *‘distributed unlfcrmiy on its surface, ._ _ 3) Find the §ﬂffa‘§§,..§b.aygle"distribution 0n the inner conductor. «(Q/(ST 6 2 . “a t - '3 I? E - ,‘ t1) Find the potential qiﬁetemee-abejweerzthe two cend_uq§prs/_ \[Wg {£51}sz i3 7' 0) what is the potential of the outer cohd'u'ctor'? I 1. I I ' ' ' ' " m‘ ' ‘ II If a?” {I’kfig‘v‘v-éf.‘ ~ 1 d) what is the patential of thqiﬁ=ﬁ§[email protected] -" x "1 {5. I (box ' ‘(l \I‘? Iii/i ' a "1;, ~ .15.. ./‘ is“ {2. ' , «Chm,» g gm ( g l r H 'mm V :..:x Mm,Nﬂ-lmcmHgamwnwwxwml Problem 2 (25 pts) A planar distribution of charge p30 wn in Figure. The inner radius of the; "disc ismg 3) Find the potentiai at any point aiohg the "z axis. b) Fine the 2 component of the eiectric 'ﬁeidl E2, b any point aiongthez axis. ' - . ' WM MWWWWMWMMW=Wrmn.n»;mu.s.~;w..¢p.“ ' a ‘ 1 ' ' ' [Cimz] is heated cm the disk region as: [m], and the "outer one is y using the gradient, at' /V a"):bezermine.tﬁééjegiréciﬁgna m;E-.gvgwﬁege;g;'_ I '_ 13mm the.eiéctﬁaiboiééﬁﬁiﬁj . . mama-inat- ' 0M at MMQWWWW '< ng'r-ésidér'3:_;:sar_aiiel_s¥abs madeofciie; ' -' méteriéis;with dgifféreﬁt'eieﬁric .jbégrmiﬁvitiesgjr, gjf;--andfs3,;, Smm: 'ei-ﬁigure; D-éiermirfrethefeiéctric- - {ﬁeld Vect'grgs 132? and 123 ifn. Siébs' 2 and 13' :hejgzegiric- ﬁeiga VBCtGVEEnsIab H3 -'E;%**(2,.3)[wm]p e. -- : . .- . .. - mhmuimmamawwmmmmmwmmemmme ...
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