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Unformatted text preview: Physics 171.102 Exam 2 April 17, 2001
Prof. Barnett
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Write your TA’s name and your name on each blue book. Write everything in ink.
You may utilize material writtenon both sides of ONE 3” x5” index card. 1. Consider the two wires in the adjacent 2 I Jag
T drawing, one a long straight wire aligned 7/ d: IO 0L
along the “y” direction and the other a circular wire loop positioned above the ‘ l
straight wire with its axis aligned along 5;” o P the “x” direction. Each carries a current P053637 I of “I” amps. The circular loop has a radius of “a” meters. Its center is a distance of d=10a from the straight wire. The direction of the current in the loop is clockwise as shown in the
ﬁgure. A) (10 pts) What is the magnetic ﬁeld, Emmy)”, of the straight wire at the center of the
circular loop? Include the magnitude and direction. 5‘13 F. PK?) #4 Phi“? 20.11 5? at}?! Q“ (3‘24; M ~23
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gym a?“ a —o B) (10 pts) What is the magnetic ﬁeld, B1007], of the Wire 100p at the center of the loop?
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vertical axis, i.e. if it is rotated slightly will it return to this original position? Explain
your thinking qualitatively. SEVZ gees: "2,9,3“ stew\GN liq 220.3? ﬂux/d. “20.16 . . _ \ Ai‘b Th? Fine LooF‘S mﬁgrverm mmeur {30"“1‘5 ”2‘: The
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R‘OTF’LTQ' EQ 2.001% l'S PE—ZMN " B (2 D) (5 pts) Is there either an attractive or repulsive force between the straight wire and the
loop? If “Yes”, then which? Explain your thinking qualitatively. T“? We“) PﬁwMTME hoe? ‘POI'NT‘S F’vr 937 the.
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Th? ;_2 Ala’tegrxéapni coop Fran/é, Uvuae Revel—L quk «ark en. E) (10 pts) If the loop is unrestrained and is allowed to rotate about the vertical axis or move
towards or away from the straight wire (whatever it wants to do) will the current in the
loop change? If “Yes”, will it get larger or smaller relative to the clockwise direction
for the rotation? Will it get larger or smaller relative to the clockwise direction for the
translation? Explain your thinking qualitatively. IF The Loop awé. wine vag necavwe ro <2:va
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K993? ’JYLCIVQEM ZG‘W ilVS'fJKﬁa PhiS PREBCGM‘ 2. An ac independent voltage source described by
(20.0 V) cos[(1007r rad/sec)t]
is connected to a 50 mH inductor as shown. 39* We}? ﬂameM 223 3? A) (10 pts) What is the impedance of the inductor? Z : (u; L: 4' 5'1)’ ohm;
1., B) (10 pts) What is the peak value of the current through the inductor? I W \V t: "LOwap! ,2 i .
j Mml" mam/3‘ my” ow“ ﬂ, (Armpit C) (10 pts) At what time t Z 0 seconds does the current in the inductor reach its ﬁrst maximum? ﬁt): [EL $,,‘u(wt) 33> f’Qqq AV “2": 0am?! 56C, 3. A converging lens with a focal length
of 10 cm and a mirror of unknown curvature
are located 30 cm apart as shown in the 4“”. n,,..__wy,
adjacent drawing. Parallel light rays, from é '
an object inﬁnitely far away to the left of 5 W" +
the lens, enter the lens as indicated. The W #M__+
ﬁnal image of the entire system is located EX’IT 33V?)
at +00 to the right of the lens so the rays Rﬁ"‘t"$
exit the system as a parallel beam going I’ve g “(”3
out to the left. RATS A) (12 pts) Draw a ray tracing for the case of a convex mirror and another for the case of a
concave mirror. Determine whether the mirror should be convex or concave to give the
situation described in this problem. XNQ x) Mirna
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LQNS. 'T‘he 114—3” at} (vex 9???“ +00. h"‘ T'he [MASe (3' VIICZTV‘AL‘ C) (12 pts) Determine the radius of curvature and focal distance for the mirror. The 134$¥BE Loﬂmcé by The Lem/c IS HT
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 Spring '09
 Barnett

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