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Solutions to exam 4 of physics 232, including problems related to circuit diagrams with resistors, switches, emf, and inductor, as well as an lc circuit problem. Students are required to calculate current and voltage at different time instances, evaluate constants in an equation, and sketch graphs of current and energy versus time.
Typology: Exams
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( l5 pts)Belowis a circuitdiagram
with h.voresistors, a switch,emi andan inductor aslabeled.All answers mustbe
iustified.
a) At time zerothe switchS is closed.
Calculate the cunent12attimezerojust afterthe switchis closed.
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b) A voltmeter is attachedacrossthe inductor
with th€ red.l€ad on the risht hand side and
the black lead on lhe left hand
side. What is the readingofthe voltmeterjust after the swit"h is closed?
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c) A long time has elapsedsincethe switch was closed. Calculatethe current1,.
No-
1
fr= fr
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= >. f r = D
d i
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d) In thespace belowsketch a graph,ofthe energy storedon thecapacitor (vertical axis)versus time(horizontal
axis).As
usual,provideunits,a numerical
scaleandtick marks
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=
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to
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7..
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3.0cm a
r t t
idealsolenoid. The inductor hasa lengthof3.
{
=
l o L
N
s t n t
t
=ft
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o-3n )
I H n
p d ' n l [
y. o c -
t
. o f . t o
inductor of25 mH can be thought
ofas an
cm'. How many tums of wire must it havei
L = , M o h n t-. /
l! = I - t t -
of 4.
area
,//t-
and a cross-section
N
n = v
I
l l r n n \ - I
t
n'.-J I
l , A
= l , Z L
r r D
axisofthe filter is
orientedin an up-down
light of intensity I" is incidenton a
polaroid
filter denoted(a) below.Theoptical
direction.
t
a) Whatis the intensiryofthe light whichgetsti[ough filter (a)?Express youl answer in termsofIo. you mustJustifyyour
answer'
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=
sintt
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r ^ ^ p ' l r ' r t l r l '
( i ; t ' U '
b) A second filter (denoted(b) in thediagram) is laid on top offilter (a).what inrensity oflight penetrates bothfilters?Express
you answerin termsof Io.Again,theanswer
mustbejustified.
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o
J K
s Q t s r g t
; r o l r " t 3 e
r
h a r \ t r.
r K t r
c) A thfd filter wilh an orientation of 30owith respectto filter (a) is interposed 6etween f\lters(a) and(b). whar intensiry of
light penetratesall threefilters? Again,expressyour answer in termsofl,.
I - r A
l,
,j
d) supposefilter (c) is laidon top of filters(a) and(b). what intensity of lightpenetrates all threefilters?
No
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