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2000_002

# 2000_002 - Problem#1 Given these four charge distrib...

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Unformatted text preview: Problem #1. Given these four charge distrib “>04 nC/m2 on the surface at = -4; and 0.41ch/m — —O.25 nC/ m2 on the surface y on the F . QM: 0 ﬂ - 7 4, ’ ‘ ‘ I :i _ . K f, _I/ L' /.‘: / 7“ fr . / L a/‘J. / , . -; Z (I C II) ' ,(n 4/7 (5; :7 Iv zil’, I ‘ N utions in free space: 0.25 nC/ m2 on y . line 3: = 2, 2 =3; find ﬁend IE I at the pomt(1,3,—1). w’ 7,: ‘4. ygo {o 0 ame the sﬁrface y CAL EE n325 July3,2000 - I geﬂaamm [—am Name W Point charges QA = 5 nC, Q3 = -2 nC, and QC = 1 nC are located in free space at PA(1,2,—2), PB(-2,4,1), and Pg(3,0,2), respectively. Find the'potential at P(-3,-2,4) if: (a) V = O at infinity; ‘“ PM?” “W35 2 (b) V: 0 at PR(O,5,—2). av ,/ I V 1 F + C I / ( A) m r EE n325 3,2000 , Jujy @HE‘Q m/Vl Lam Name Problem #3. For the multipledielectric, parallel—plate capacitor shown in the figure below, calcuiate d1, pig, and d3 if: (a) the energy stored (MW) in each region is the same; (b) the potential difference across each region is the same. (c) Find the capacitance per unit area if d1 = 3 mm, d2 = 2 mm, and d3 = 5 mm. C '2 61) (EM) WECé-ésﬁak/ are (hug/557 [wore/por‘ﬁQﬁ/ E is “at Constovft C) m “5 I ~ . I! . ’d, =3(.09/57) = ,QVS’M (D. . - 5/1eefs 9d cy=--/a.na’52 lad/dc ﬁg cﬂéct. 1.; ash/0‘ » 0.417 Io'v'J-UO ‘ —- -' -= E j .250 ax + ‘77)“. “Harm/02 V/m ,/E/= 2/.9 1%,, Q ~ _£_5:o_ [ 5 2 l H __“ @) VP ‘ 6.95477 /4,4,c/ ’ 756,3} * 7~Te,z,2 4J5“ V ' . _ __ 250 5 2 ‘“‘ I (A) ... . v - Vaoo—mb—‘m/ ‘ 727727 + W] Mm : me; u .: VpR : ng - Low = 4,/s—m.ezr=- 652 v (3) 2. . _ _/62 2d 1 . - h (Q)W5~QE:§Q€?JE‘/S®nsfadj Wfﬂg-_-é:gzlé dl+dx+d3~/au=a/r2d 34 :—l -J ’l 1 l / /+ / / d ~ d : " C p ii 1.211 3 if.“ (b)!/: Ed : g—d I 0/5’Con5f VA}? - . ' ‘3 6/ “EL agaM , 24mg as/a) (WC/“‘3‘: -31005 (.— _ __/_ _3_ / / / / 3X/0 0) /00060 C3- . C : I +-——— +____. __ C: Héeo : 5'62 pF/mL C00 M60 600 go b} , / 0r / \ u “ \,, “7 ...
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