PHS 212 Midterm with Solution, Spring 2005

NDU PHS 212 - Electricity & Magnetism Faculty of Natural and Applied Sciences Midterm Exam - Spring 2005 Department of Sciences Duration: 100 minutes (1h40) 6. bal Calculators and your original textbook are allowed. It is strongly advised that you read your exam from A to Z before you start working on any of the problems. I do not expect you to solve the problems in sequence; feel free to start with the one you like most! This will help boost your confidence. You can get partial credit for all the problems as long as you detail your answers. All other rules and regulations pertaining to exams stated in NDU the catalog are considered an integral part of this document, You are not allowed to borrow anything during the exam. You are not allowed to talk with anyone during the exam. Any such behayior will be considered a cheating attempt, even if you are talking with someone sitting for another exam. You paper will be taken at the first cheating attempt. Do not expect a warning! This page should be signed, teared off and put on the side of the table before you start the exam. Failure to do so will result in a 15% decrease of your grade. I have read and understood the rules and regulations governing this exam. Lovaize, April 19, 2005 Problem I 2Gn5 Problem 3 | 4S” 2s Problem 2 7375 Problem 4 AS 75 x ; Good Luck! NDU PHS 212 - Electricity & Magnetism Faculty of Natural and Applied Sciences Midterm Exam 1 - Spring 2005 Department of Sciences Duration: 100 minutes (1h40) 1. Two point charges sumte —Sy C C. Ata separation of 2 cm, they exert a force of 80 N on each other. Find the two charges when. \ a. The forces are attractive b, The forces are repulsive 2. A rod of length a whose ends are at (0,0) and (@,0) has acharge density A = (22) x (see figure) a a. Find the total charge Q on the rod. 3 (0) b, Find the force on a charge q at (-#,0). A c. Verify that the force has the correct limitas 4—+c0 q {0,0 (4,0) —__—_—_—_—_ 3. An infinetly long cylindrical shell of inner radius @ and outer radius 5 carries a uniform volume charge density . Using Gauss' Law, find the electric feldfor r<a , a<r<b .and r>b . 4. A cylinder, length 2 and radius 2, carties a uniform charge density p . Its base is in the z-O plane (see figure). Find the electric field (magnitude and -direction) ‘at the point P on the z-axis (the axis of the cylinder). { i a meh? a tc ‘Soc R~ (Lt) +e ~~ bel At - Kya. 4) o™ = | vt inh NOTRE DAME UNIVERSITY Grown A niau Zouk Mosbeh - Lebanon Grade = oo cecssessoesnessny ~ HOM = .... Course N° PAS. 912. Secti B HA4-— Bb. G | I wig An si i NE Ie AVIV 1 TI PS ES rls ae aS if HII RTI a: oN EA oC ONS OTS ACE Wad leo) Be ul | Sle Bo. Koesho DAN 5 vcrosseerertnvesinetinartinerenasesinennseeiveeieenee 7 5 3 = i ma: x % {| Hila | ; 4 |: f ff —— : : ig p a WK] : oy is 7 T i , t 2 « ~ A 4 OE: Po n/a f"\- i E Eat Bla é. == =e n= Eg coal ete |e es == fd RASS |Z aoe of ~VORSS Nb pees = Cues oe a tS = Fay im <7 OI otst as ee Sesaes a) SEF a LL | . Saaes iff, ae ets Zar AA) PTA 4 = = IY SeSee~ So ga —- é oa Pe es re ee lish. ttl CELE Lieb ed dl sbeh - Lebansa “ouk Mo. SUERE DAME UNIVERSITY - Dar. .. Section : Name : Course NO ae i= \ AALA f if a - a ne | Wud A neal 4 LO ZS i jf Le ele pe j | ka 4 Ch Kd f Ol | tee 1 vey 1. ' ; : Liye Pe er era Per) : Pchccaap ogee Jf tdi a ' : 1 i i qin “rfl. i rr i : a ' edyt i Ti,id,, | : . | et ry dtedds pe : ; ! a ' " . ‘ : 1. ~ tt pot : UE | ra tt ! th bin bin swe bebe ne a Gee Be : oe ij T vt Hin 7 TTT —T . . — H “add an Yo : .. ' i’ il i it j ‘ it vt 1S : i,t sade 1) i A | " : 4 =fl-. f---~4-4--} 4 ne LY L i Pt i ae oan Ti “TS f] = * ’ Ha ie . *T: n . ' te : or 1 ijt i tt . 1 toe ! ; t ee: ‘ . | Pope 1 @ i : : . - a, ae Sn beng D)--—+-]--- = b = ou —-- +! 1 r t ~ , : i i : : ’ | Ty evo ee SNS eit LI Arn He ie} Tn ae ald PT Met Vid ded filed 9 Hl. THUMM | . aid) chieshitihs id CULES SUPUEPEE LLDPE CEE EE LT LLL! I I | eee ee ee es Od ee ; t- |: veefh Hedir dye Seal F Z a ee eee Ife . oe 1 Pelt dttdl ELLE nen ide ot . 4 a) ! Hill PEE EEEP DED EPP EEREEEECEeEe P d 2m ct i Keb |} Ke. inn | re == Sh H tet wise 4 | ! i : ' ' : | | ' nm }. H : i i L an ar aan ae -— ati L |