# q8 - PHYSICS 2B(a QUIZ 8 SPRING QUARTER 2001 PROF SCHULLER...

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Unformatted text preview: PHYSICS 2B (a) QUIZ 8 SPRING QUARTER 2001 PROF. SCHULLER MAY 25, 2001 USEF! 1L FQRMULAS: Coulomb's Law F = 2 f For a capacitor 47:80 r CV = Q Gauss' 5 Law §E ~ dA = ii p dV C = % (Parallel Plate) S 80 V . . . . P ~ ~ 1 l q, j . Definltion of Potential V z]- E d1 U — Electrostatic Energy °° 47r€0 2 Ht] rij 2 80:89X10_12 C2 R=p£ R 33 Nm A qB 1:: 2 —vv V = R1 ' F = qv x B F = iL x B t=uxB ~ ~_ «Ia , _,uOi ~_&.dle _£ EﬁB-dl—pO‘IJ ds Ampereslaw B(r)—% dB—4n1 r3 8—_o7t 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? 2. A stiff Wire bent into a semicircle of radius a is rotated with frequency f in a uniform magnetic field, as suggested in the figure below. What are (a) the frequency and (b) the amplitude of the varying emf induced in the loop? PHYSICS 2B(a) QUIZ 8 SPRING QUARTER 2001 ' PROF. SCHULLER MAY 25, 2001 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 loop is spun at 1000 rev/min about an axis perpendicular to B? 4. In what ﬁeld were the following Nobel Prize winners trained? Rosalyn Yallow, 1977 - Medicine; Max Delbriick, 1969 - Medicine; Francis Crick, 1962 — Medicine; Walter Kohn, 1999 - Chemistry; Andrei Sacharov, 1975 - Peace. G) ‘ Tlne Pas‘kvé drum/~36 Ital Mov‘mj‘ +0 -H«e vig‘n’i‘ Can @é‘tni LDC "HA00CJL\+ 04 KS (1 C UN‘en‘l‘ Mov‘mos ‘m q. ‘owj §+le<3k1t w‘xre , TWIS Curren‘r + (I. A ._3 V fVoJuces a 8 «(’Ee‘ol OU‘l' a‘c ’l’ke ‘3er “wougk 'ere ‘oo‘,. AS ‘HAE Pow'hcle meokaeS ‘l’Lxe \oaf Jeris E"(‘\c‘°k lvxhuﬁ-ﬁes, The NSUH ‘5 °~ CL‘U‘ﬁ‘ma (\UK “NJ 13 ‘m- (weasiu‘s ou-\ a‘(‘ ‘Hae Pk‘ﬁe. 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V;J>(3§0 T><O.S m>(0.3wx3 PHYSICS 2B(b) QUIZ 8 SPRING QUARTER 2001 PROF. SCHULLER MAY 25, 2001 E F A : Coulomb' 5 Law P = 1 91:12 i For a capacitor 471730 r CV=Q , - ~ 1 80A Gauss s Law §E - dA = —-J- p dV C = —d— (Parallel Plate) 5 80 V . . . P ~ ~ 1 1 qiqj . Deﬁnition of Potential V =J E - d1 U = —— — Electrostatic Energy no 47:80 2 i,”- rij C2 L mv 8 =8.9X10-12 R: —— R:— 0 Nm2 p A qB E = -V7V V = RI RC Circuits __ F = qv X B F = iL X B r=pr — #0 dl x f 8(1) dB = — e = -— 47: 1 r3 at 1. 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? 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) Calculate the emf developed around the conducting path. (b) Calculate the magnitude and direction of the current. PHYSICS 2B(b) QUIZ 8 SPRING QUARTER 2001 PROF. SCHULLER MAY 25, 2001 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? In what field were the following Nobel Prize winners trained? 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