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# Q8 - PHYSICS 213M.0 001 8 SPRING QUARTER 2000 PROF SCHULLER...

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Unformatted text preview: PHYSICS 213M .0\ 001;: 8 SPRING QUARTER 2000 PROF. SCHULLER . MAY 26, 2000 W Coulomb' s Law 13 = 1 3%,“? For a capacitor 47:50 r CV = Q Gauss' S Law éfi-di = Eli P EN = ELA- (Parallel Plate) _ 1 12% Electrostatic Energy 47:80 2 ,‘j riJi R = pk R = m A qB V = R1 F=quB F = iLx B r=pr a _ _ ﬂ , [uni _ pO.dT:-c‘f B-dl: J-d A Slaw B =— dB:— § #0! s mpcre (r) 2m 4!: 1 r" l. A particle of charge q (:0) is traveling at a velocity v in the plane of a small conducting loop. At an instant when it is located as shown in the figure below. why is the magnetic ﬂux through the loop increasing? What is the direction of the current in the loop? - r \- 2. Consider the situation in the ﬁgure below and suppose that the rod has a mass m. *3 __. BTV cos at and find the (a) Show that the magnetic force Fon the rod is F = direction of this force. (0) Show that the equation of motion for the rod is . Bzfzv cos at du mg Stn a’-———-— = "I". R dt (0) Find the terminal velocity. ‘ PHYSICS 213M 0‘ QUIZ 3 SPRING QUARTER 2000 PROF. SCHULLER MAY 26, 2000 3. An electrical generator consists of 100 turns of wire formed into a rectangular loop 50.0 cm by 30.0 cm, placed entirely in a uniform magnetic field with magnitude B = 3.50 T. What is the maximum value of the emf produced when the low is spun at 1000 rev/min about an axis perpendicular to E? 4, In what ﬁeld were the following Nobel Prize winners trained? Rosalyn Yallow, I977 - Medicine; Max Delbriick, 1969 - Medicine; Francis Crick. I962 - Medicine; Walter Kohn. 1999 - Chemistry; Andrei Sacharov. 1975 - Peace. 7- "b mam-5n: 11AM 15? E HF "5 @ all g’a a“: E '- FF : Bingm m: - Elam-gm y 5; Kiwis-54 =3" cwrf¢w¥ 1&th lamp L. I: 7;: t R. u-‘s;h~o) LII—Q” [Au-u, (.mrrtw'l" MH‘JV ﬁst-.1 ﬁlnckI-ul-H 'i‘u atopdm dulLM‘b;‘-'~B "FL—K 'H'wahqlw [eon k £511.; on. *4.- rad. '1'. F3 ._-. If ”V E. B L / Bu‘wms at i v» «m K (9 ﬂ n5§hr3 v‘.J\L_.*" bum-.cL {HA-ﬂ. J For“ Para-LET 9.1) pie-Ln.) PL“ _. _.. _. at]? 6) F : “A: =3 Far-gm'l'lb 4 F“ t M I h real. :‘ th*.fA;Ma’n +4- MM and. PIN J 555 /’€-3 a” ‘ [31.916 1 -‘~ E if “'1 r .- ma'SU-u.‘ I- ._—L “ﬁfth“ “I”, I:- ( '7. J at) w—I/ M9 MW°W+ 13+“ Qru a"! bun-.6 {3an (if) "hr“;hmﬁ uL‘ﬂL: \‘W huh-Aux 3T: : O ( ‘L > B‘f‘u‘ an *- W‘Cbﬂ “Um i ._ c). .5. L}- .._._ 1. .. "“h- Meg'h FL a} 3‘1 mm EMF ._;.... 5“,, fungi): \ :3 gm 7‘ NEAR“; G) Emu: = [“30 hm).['s.c-r). (5.“).(3m). 1111” (macs mu ) 60 "5 : 5,BDV[01\/ ._————‘| PHYSICS 213m ‘0 our: 3 SPRING QUARTER 2000 PROF. SCHULLER - MAY 26, 2000 W Coulomb“ 5 Law F = l 9—1511? For a capacitor 43:50 I‘ _ CV = Q Gauss' s Law é}? - (501 = Si! p dV = 5—3? (Parallel Plate) 3| 0 V 1 1 ﬂ Electrostatic Energy P... _ Deﬁnition of Potential v = j E-dl U = ““ 4J'T'Eti 2 i-ej rij 80:8.9X10‘” C ﬂ R:p£ =ﬂ Nm' A qB f2 ; -ﬁv v = RI RC Circuits Char-ina Discharging F = qv x B F = iL x B r=pr éE-dl-p [his Am ere'slaw B(r)_,u_0i dfi’ieiu—idixf D s p 270 4:: r" l. A small loop of wire is pulled at a velocity v between the pole pieces of a magnet as shown in the figure below. What is the direction of the current in the loop just as it enters the region between the poles? What is the direction of this current on leaving this region? 2. A conducting rod of length l and resistance R slides down the conducting rails on the edges of an inclined plane of angle a as shown in the ﬁgure below. Assume that a uniform magnetic induction B is directed vertically downward as shown in the ﬁgure, that the total electrical resistance is R, and that no frictional forces act. At an instant when the rod has the velocity v, as shown: (a) Show that the emf developed around the conducting path is Blv cosot. (b) Calculate the magnitude and direction of the current. _... PHYSICS 21306 \3 QUIZ 3 SPRING QUARTER 2000 PROF. SCHULLER MAY 20. 2000 3. The long solenoid S of the ﬁgure below has 220 turns/cm and carries a current I: 1.5 A; its diameter D is 3.2 cm. At its center we place a 130-turn close-packed coil C of diameter d = 2.1 cm. The current in the solenoid is reduced to zero at a steady rate in 25 ms. What emf is induced in coil C while the current in the solenoid is changing? 4. In what ﬁeld were the following Nobel Prize winners trained? Rosalyn Yellow, 1977 - Medicine; Max Delbrijcl-t. 1969 - Medicine: Francis Crick. 1962 - Medicine; Walter Kohn. 1999 - Chemistry; Andrei Sacharov. 1975 - Peace. Lzm'l'wum Pal-W) J ﬂux (Inch-Latina J 59 Limit [AN ' I‘D-x AWL-9 A ber f-JLu-J( etch; +5 appé‘L‘L Lkwnaby I..\-+ mh-J' _, Sc) l'ﬁﬁ’LML-P A LhrM—v—"\ nlmﬁ+ ﬂab; W”- CJLCSCRLW‘K. 5(2) +lx.g_“\' I‘LEAMLI'LA. 7? L... 1.4% E. ca :9 (12.3913 <0 CD w 5% I T? Lm—uif {mm f—q‘} lmAyxmA mrf¢_h+ L“; a,” mhhtf .-* clgngw-SL +5, M1”. gamma E“ Foch-3c m: ,5? aS'SW-*~E. +14“ arm-4"— H M- as; 5:,nt 53M? = warm-5AM” @ - Bﬂme-PC *‘L'L EMF V- (Hwhu :1th ) hams“? 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