Phys2Test3Sp04 - April 24, 2007 Physics 1322 3rd Hour Quiz...

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Unformatted text preview: April 24, 2007 Physics 1322 3rd Hour Quiz - Benbrook 1. One point per question. - Write the Biot—Savart Law. . A __\ s: m Idfi xrfisi‘) ~ ' I 4/17 _ _ gaugigs b.) Write tthorentz Force for a charge q moving in fields E" and E with velocity 27 . n )1 J, \\ .1 ‘1 i. x + V as I 1 0.) Given a magnetic field E ‘, how would you calculate the force on a circuit c carrying current I in the field? ' ‘ I I l. c.) Write Ampere’s Circuital Law; ‘ §€Iclfrflolem ' I, » ' i Ll .d.) Give an approximate expression for the magnetic field inside a long solenoid with N - Xturns, length l , andcross sectional area A if the current in the winding is I . ‘ B // ,«o 1 IL! AXe.) What is the self inductance 6f the solenoid in the previous problem? .n I ‘ - ‘ . : Ht A In Jéaifl. [L W f.) What is Newmann’s formula for the mutual inductance between two line circuits? ' in: “ll/J;— [Ml‘ '; £32; f , w i, (mg) J W cm Irm/ gr) Give an express1on for the dlsplacement curre ‘t densrty.‘ . u- I , . ( h.) Write the four equations that we refer to as Maxwell’s equations (in vector differential form). [35/ W, n. r. «gig; I V V- E ~ Hui/X; Z: 2; r - r I 1.) Define magnetic flux. \ w 0% , 2 K - j.) For an ideal tIaIleOl‘l\ 1th N1 turns in the primary and N2 turns in the secondary, what is the output voltage V2 for an input voltage V1 ? f M \/,2 :Vi NZ _ _ W For the next two questions, assume that a plane wave in a medium of refractive index n1 is incident on a plane interface beyond which the index of refraction is 712 . The angle of incidence is 61- , the reflected wave leaves at angle 6T , and the transmitted wave leaves at angle 6t . k.) What is the relation between 61' and 61" ? <9; : 9:“ 1.) What is the relation between 61- and 6t ? %3h .2 3% h \ Ynsin 0L ‘3 “23m Git ,. v 2. A square circuit of side a carries a current I . A long straight wire lies in the plane of the square, oriented such that two sides of the square circuit are parallel to the long straight wire with the nearer side a distance a away. The current in the long wire is also I in the same direction as the current in the nearer side of the square. Find the net force on the square circuit. (20 points) ' I 566 NM MAE i KIM/7’ A 7“ .4 _._ K. I -4 I — W G 9 0L1 : \l i z 10 \ “EDP : IA A! ’ “0* $1217”),- ‘ 7z/\\ 4/. ‘fLLJ/n Zfi'Ilffl “ 25/0 ” L 97/ Jfi“ ‘ l‘\ [h . #- “WZ. "(1 2 \u 4' h’ "A "FLO'HIM :: jédy-(szt') ch/(o; :2 1 ,Mo ~A ‘ J 2 I gefrfij/n ’iggg/r/né-Zn \. ‘ ‘~ 5 I ‘ z J‘Za \ 6:», X g? ‘ Jr}: X 7727 24- 71/7 3.; 578/} _ ‘ at, ! /n 1 ¢\ v 2121K 0 : .— ELMO/t £17 A '0‘» FL! - :3 +IC Jubl Chi J9 . gram : X1612 ,E: “M AM?” 21% .. w -': L at » 3. A disk bears a uniform surface charge density a and spins about its axis with angular velocity to . What is the magnetic moment of the disk? (20 points) :VOjF Q .. ' 0Q: rig/.752 :: (fur’rolcé :JI’IM'QL‘E «If ‘ 0/? (gig- ffii‘sflurzifi/W .‘Cffmzp. a) “3"” “Q. (P:wa rim 2 war _ 2 J D (fl/Jodi [Egg/[f . . é i ’1 Jill at. e " “v ° +61% 3®=WQ ’ , , , ill/2 ,. 4. Corisider the AC c1rcu1t below. C : L a.) Find the effective impedance driven by the voltage source. (10 points) 13.) Use your answer to determine the amplitude and phase of the current supplied by the source to the circuit. (10 points) c.) Make a crude plot of the current amplitude as a function of w . (10 points) I 2L: V; V XW't C K 57;”: ESQ 0e L 2L, ML 7 12‘ 7. I 1, 2J" ,xi/ :' [J m fill/.21 / ML... .”' ‘11-, ...
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Phys2Test3Sp04 - April 24, 2007 Physics 1322 3rd Hour Quiz...

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