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Physics Exam 4: Circuit Diagram and LC Circuit Problems - Prof. Michael J. Nolan, Exams of Physics

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

Pre 2010

Uploaded on 08/18/2009

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Phys
232
Exam
4
November
14,2008
ntl
urr,le Js lq-fiol,ts
Student
LD.
Number
k = - l- = 8.gg
xlos
Nm2
/
C2
lre "
t" =
8.85
xl0-12 F /m
e
=
1.60
x10
t'g
C
m"
=9.11x10-3t
kg
m
p
=1.67
xl0-21
kg
/'to=4zxl\-'H/m
c=3.00x108m/s
Keep
in mind
that
I must
be
able
to follow your
work
in order
to
give
you
credit.
This
is
especially
true
when
awarding
partial
credit.
A wrong
answer
with
the
right
methods gets
partial
credit.
If I cannot
figure
out
rhe methods,
then
no
credit.
ShOW VOUf WOfk!!
Units!
Units!
Units!
pf3
pf4
pf5

Partial preview of the text

Download Physics Exam 4: Circuit Diagram and LC Circuit Problems - Prof. Michael J. Nolan and more Exams Physics in PDF only on Docsity!

Phys

Exam

November14,

n t l

urr,le Js

lq-fiol,ts

StudentLD.

Number

k = -

l-

= 8.gg xlosNm2/ C

lre "

t"

= 8.85xl0-

F /m

e = 1.60x

t'g

C

m" =9.11x10-3t

kg

m

p

x l 0 - 2 1k g

/ ' t o = 4 z x l \ - ' H / m

c = 3. 0 0 x 1 0 8 m / s

Keepin mind

thatI mustbe

ableto follow yourwork

in orderto giveyou

credit. This is especially

true

whenawarding

partialcredit.

A wronganswer

with theright

methodsgetspartialcredit.

If I cannot

figureout

rhemethods,

thenno credit.ShOW

VOUf WOfk!!

Units!

Units!

Units!

I

( 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.

AJ{."

  1. r*t-[.]

clutr, 13 t, t,-'1..*r....rlg

I

: \ -

l t v

6.r1-o-

t. fr^

n

J ,

R , rR ,

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?

Fr^-

Kt r.Ll^.*|, r,rr raaur

j

L.,^..

.

I V- I =

  1. Bt

I V. | =

lt. ts-,-n )l r.o-,tsr-)

: 2.Btz

ri

,!:,,n.c *.

i ,^J,.{.JoFoplorc.

{'l.a

ihsrrc sirtn cu"^"-f'

h/q Luro

*0.a

lq-

Jttlq

'0.

+tt

rt6 Lt

  • 'nt

lirtr 'avrr'

V. =

    1. 8 V . a

c) A long time has elapsedsincethe switch was closed. Calculatethe current1,.

No-

1

fr= fr

V " = o s i r " c e

4 I r = o

= >. f r = D

d i

-.

J , = 9 = l L v. a z.. - 1 ,. A

Kr

-l:\

l$-

:5,01(l

&:

l.slo

d) In thespace belowsketch a graph,ofthe energy storedon thecapacitor (vertical axis)versus time(horizontal

axis).As

usual,provideunits,a numerical

scaleandtick marks

t =

t S= +

S*tt"t

U"**

=

3,12)-

lrrt Pt't

t)

t

(r.)

.a

to

"l

7..

l, ."

3.0cm a

r t t

* ) [

idealsolenoid. The inductor hasa lengthof3.

. L

{

=

l o L

N

s t n t

t

=ft

o3 '*)[?s-i.t

o-3n )

I H n

p d ' n l [

y. o c -

I \

r 4 r , \

P

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

  1. (15pts)Unpolarized

orientedin an up-down

light of intensity I" is incidenton a

polaroid

filter denoted(a) below.Theoptical

direction.

t

l. \ ) , j

l - , - /

I f b ) / ,

a) Whatis the intensiryofthe light whichgetsti[ough filter (a)?Express youl answer in termsofIo. you mustJustifyyour

answer'

I

=

sintt

(colo) =r

trl

'[l

p.,lt"igr{ttrr

( / q r t r r l r t r r r { r d l t 1 * [.

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.

. I

T

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

,j&

$t ,nt.

t t

r 1 t r " t L i t ' r t l r z

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,.

( 4 \

I - r A

J -

. '

o?'-l Io

l,

,j

d) supposefilter (c) is laidon top of filters(a) and(b). what intensity of lightpenetrates all threefilters?

No

irnt,.rt5co-t. +{^UL.$l$r's

4

tr^l L.

To

0

t1-l{t

t,q,... tlU'rcy L

t'