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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.
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4/17 _ _ gaugigs b.) Write tthorentz Force for a charge q moving in ﬁelds E" and E with velocity 27 .
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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
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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
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what is the output voltage V2 for an input voltage V1 ? f M \/,2 :Vi NZ
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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" ?
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1.) What is the relation between 61 and 6t ?
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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’
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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.
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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;
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 Spring '10
 MichaelGorman
 Physics

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