{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

M1[1].2006 - 1.Draw the field lines for the arrangements...

Info icon This preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

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

View Full Document Right Arrow Icon
Image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1.Draw the field lines for the arrangements given in figures below. a)A point charge +q above an infinite, uncharged conducting plane. b)A point charge ——q at the center of a spherical conducting shell of charge +q. Answers: a) "inf {M {a ,vnehmrgefi. conclue’k:ng p 12.9an 5) COnAUC-l—Tng Shelli, 0% charge, +q 2.Consider two “identical” dipoles of charges with magnitude ‘ + 0‘ + ‘1 q placed at a distance 2d apart as shown in the figure. The dipoles are parallel, and they are a distance x apart. cl cl a)Write a relation for the dipole moments of the dipoles X and show their directions in the figure. “ "' “ — M” — ‘ b)Calculate the force on one dipole (in unit vector notation) d. due to the other dipole as a function of x. A c)Write a relation for the force that you have calculated in part b) for d<<x . Answers: a) For. ‘OO‘H/I' dipoles ) Pr: ‘Lclc' b) "“5 we .4, . F: R th‘th Hi‘ +§’+E:E W O ’1 I [Hires K9“ Ferny” A; 3:12! qrnea xm+€zflz ‘4 Fzgx?~+i:cj3 5 sz—EginQ't-Fzgl’ng’fio ‘J F21Fx 3.A conducting solid sphere of radius R has a total charge of +Q and is placed at the origin. A conducting spherical shell of inner radius ER and outer radius 3R has a total charge +Q and is also placed with its center at the origin (so that it encloses the sphere). a)Calculate the surface charge densities (c) for the sphere and for the shell. b)Calculate (the magnitude E of) the electric field as a function of radial distance r. (2)910“; and E as a function of r. Answers: a) (5% (Ti fl W (an, thfi ou‘zewf Sup (it! cf #‘ZSFLLPJVJ 0;. ‘3 LL 0" :-:-. :g o {’ht’, (write? (611%? afl Hm Shelli ) '50 Infill". Cheese m Gmgeiran (swim/e inside Hesviner‘ea W p j “4 l GflUQgOLOU/Uf éo gt'MLA. :1. Cyan; @4423er (f O E 0 SUHfQCtLCSpi/lahefl) ' w- w: cmogéw 0t GWSSt‘Ol-fl Surface. haiwaan W sphere, 9mg, Mskeil. UHW'S Oasisheme, ii—s (Lenten (g, OJ; Mania 6»! Vivi/Lesaplm/w Quad, Wslcdfir) _ ea g‘go (L A ’3 929% EdACewén—F 66.67am?) 3g :9, 1—593): 1+, Trl‘éfof‘fli 2R<F<3fl° QWOSE- “Cspkemiwfll Gemiss‘wm u- {deem M 'oggudaz Selene :0 ”flip-y .7 1" 39»?- Choose» Gk (gka/r‘gwr) GMSELM S‘w‘ffitur (cuiv’s'mie. WSW, Mfiq 608? (55.94;: éogEiACesC-lct 2Q @o E‘ C it???) g 18, :29» EC"): Q fl'flgorj' C swfmce spit are) 4.A disk of inner radius R1 and outer radius R2 has a nonuniform surface charge density 0(r) 3”— d I r, where r is the radial distance from the center of the disk and at is a constant. a)Calculate the total charge of the disk. b)Caicu1ate the electric field at a distance 2 away from the center along the central axis of the disk. c)What is the electric fieid at the center of the disk? Why? Answers: _ a) (ianclA 3 ciA-t: filfi‘eclr“ J , a. .1.“ shite ngd6%:gd8 603% “S (wee aw. (T) W: Stacie) fiver Bede ) EISAEVZ g % ale! 1.3/2 5 CLCIZOWQIA fl @)C1flp$r)w QJTOL Cir ) r Cure 0 85.1””- c) E33,. 0 ed? M W owe/x149 Jé’MWté/L‘fj— ( 0" km W QQW~ MAX/Q» gut 0L“ @WM f‘ dmm M12 CQAJZQJ"-.—.) 22’ 5. A very Earge insulating stab ls uniformly charged to a charge density of p *" 10 SC/m‘fl’. The thickness of the slab IS d— 20m. (See the figure ) a)Determine the eiectric field of the charge on the stab at points A, B and C in the figure. b)Calcuiate the potential at points B and C in the figure, assuming that it is zero at point A. c)Piot the magnitude of the electric field and the potential as a function of x 5&6 Cf ,4 Answers: { Ghdoee, m Goweeam gerfatce Go (93» AH :Qenga‘tfiawo :: (95¢ 5A:QWCISAX us A ’3: ‘ ewjxw , 1%- x: d , eu—~=%~ ii?» mg #3:... six 2 ”3w“; ZEN: 290 'Z. Yeti—L x wvg¢i (5L mfifii‘w 16:0 2,60 VGQJL‘IO)[X+(§KIO)1 ) XUUL) ’"> LEW ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern