ee 211_212 sp15 hw #02_sol -- charge, current, voltage, power, energy, basic circuit elements, ohm's...
TRANSCRIPT
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8/18/2019 EE 211_212 SP15 HW #02_sol -- Charge, Current, Voltage, Power, Energy, Basic Circuit Elements, Ohm's Law
1/13
18/V2015 EE
211/212
SP15 HW #02 -- Charge, Current.
Voltage,
Power, Energy,
Basic
Circuit
Bemente,
Ohms Law
e. E 211/212
SP15
HW 02--Charge,
Current,
Voltage,
Power, E n e r g y , Basic Circuit
E le ments, Ohm s Law
ftt? °o
Due: 6:00am on Monday, January 26 , 2015 >
Y O J
will receive
no
c red i t fonWms
y ou
complete afterthe
assignment is du e . _ .. _
Voltage a n d Current
Learning Goal;
To determina
thè uoltage
and
cu rrenls
fot dementa in a n eleclric
circuii.
In
etecinc
c i rcui ts . ali e lemenls
have a
vollage acrass Ihem and a currenl passing
ihrough
them. Al
its
mos l fundamental level,
vo l lage
re lales lo t hè energy
needed
lo
separate
charge
and
currenl relates
t o
thè speed
a l which
charges move.
In Ihis
tutorial.
y ou
will leam
lo
calculale
voltage and
currenl
(or
systems usirtg these fundamental
delimions.
Part A - Calculaling vollage
If it takes E = 3&.ìmJ ot energy io separale Q 0.56C
ol
c harge . what is iheresullanl vo l tage
Expre ss
your answ e r
to
tw o significarli figures
an d include t h è
appropriate unite.
You
d id
noi open hinls
(or Ihis pari.
A NSWER:
v
Part
B-
Calculaling
energy
Howmucherteray_does
il t ake
lo
separale
Q =
2.36;tC
of charge
if thè
vollage
is
V =
1.7mV
?
Expre ss
your
answer to tour significar ( igures and
include
(he app ropr iate
un i ts .
You did not open
hinls
(of this
part.
A NSWER.
F
2
3é
4.C 12 « J
Pari
C -
Ca lcu la t ing currenl
based on movement of charge
If
Q
r = 1.25C ol charge moves to ine
righi
in t
r
= O. ls
while Q
= -3G25mC of charge moves lo
Ih e lefl in ;
=
4.5s
. what is
th è
n el current lo th è righi"'
Expre ss your answer to two significarli f i g u r e s a nd in c lu de th è appropriate units.
+• —
m
m
•
You did not open hinls for this pari.
A NSWER
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8/18/2019 EE 211_212 SP15 HW #02_sol -- Charge, Current, Voltage, Power, Energy, Basic Circuit Elements, Ohm's Law
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18/1/2015 EE 211/212
SP15
HW #02 -- Charge, Current, Voltage. Power, Energy,
Basic Circuit
Elements, Ohm's
Law
C/ t
Pari
Denve
thè
expression for
thè
charge that accumulates
al
thè upper
terminal
for /. > 0.
ANSWER;
O
q t) = 52.0f -* ' /iC
09(()=l30e * 'C
O,/(I)
1 30 1 • ^ ì
= 52.0 1 - e *)
- 30 e
ItooT
•
-Zioofr
PartB
Find Ihe lutai
diarie
ihal accurnulales al Ihe upper terminal.
Express
your
answer
to three significant ligures and include thè
appropriate
units
ANSVYER
,,
dt - -Jl̂
2SGOt 1
-
=
0 051
Pari
C
II thè current is stopped ai t =
0,4 ms .
how
much
cha^e has
accumulated at
thè upper terminal''
Express your answer to Ihreê significant
figures
and include ine appropriate units.
ANSWER.
£
.
O
^
Problem
1.10
In eJectronic circuits it is noi
unusuaf
lo encounter currenls in
thè
microampere range Assume a 34)tA current. due lo
ine
flow ol
electrotis.
Pari
VMiat is thè average number of
eleclrons
per second ihat
flow
past a
fixed
reference cross
seclion
ihat is perpendicular to thè
dreclion
oi
Express
your answer utingjwo significarli figures
ANSWER
4*
A x 4 ̂ I
« i«
4) Problem 1.14 B
Two decine circuits.
represenled by boxes A and B. are
connected
as
shown
in
thè figure.
Ttie relerence
direction
for
thè current
i
ni llie interconnection
and Ihe
reference
polanty for
thè yollage
n
aerosa
thè
interconneclion
are as
showti in
A
+ —
B
https://session. mas Ieri
ngengineering,com/mycUassignmenlPrintView?assignrnentlD=
1220572
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8/18/2019 EE 211_212 SP15 HW #02_sol -- Charge, Current, Voltage, Power, Energy, Basic Circuit Elements, Ohm's Law
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18/1/2015 EE 211/212 SP15
HW #02 -- Charge, Current, Voltage, Power, Energy,
Basic
Circuit Elements, Ohrn's Law
P>o
p«wer
ur r
elemune Ihe power associaied wiih
Ihe
box B lor i = 7 A , v = 30 V.
Express
your answer
to Ihree,
significai»
fi g uree and include thè appropriate units.
ANSWER:
K
Pari
B
Stale
whether
I he
power is
flowing
troni
A to 15 or vice versa.
ANSW ER-
from A lo B
O
from
B
io
A
— Fi
r̂ > fro
Part
C
Determine Ihe power associaied wilh Ihe box H fo r i = -8 A. v = -20 V calculate thè power i n th è interconneclion.
Express your answer lo hree significarli
f igures
and include t hè
appropriate
units.
ANSWER
Delermine Ihe power associaied
wilti
Ihe
box
B for = 4 A, i; = -55 V .
Express your answer to three significar» figures and include thè appropriate
units.
ANSWER
p B
acerbe
State
whether ihe power is
flowing
from A to B
ANSWER
^J® fron A to
B
0 from B to A
Par E
or vice versa. ^
E> S4U
+
^
nbĉ \~> dorbCp
T 0
Stale whether Ihe power s flowing from A to B or vice versa.
ANSWER.
XmB to A
O
frani
A
lo
B
~>
A
6» fr> A
PartG
Oelermine t hè power associated wilh t hè box B for i= -9 A, v = 40 V. calculale thè power m Ihe interconnection.
Express your answer lo three significati figures and include thè appropriate units.
ANSVvER:
p —
Part_H_
Stale whether Ihe power is flowing from A to B or vice versa.
ANSWER
O from A to B
from
Sto
A
b
>̂
A
a^sork h £ r i lasci .
fi fu
\m
1.15 2
pv^
V
\s
ieri ngengi
neering.com/myct/assignm
entPrintView assi gnm
enti
D= 1220572
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8/18/2019 EE 211_212 SP15 HW #02_sol -- Charge, Current, Voltage, Power, Energy, Basic Circuit Elements, Ohm's Law
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18/1/2015
EE 211/212 SP15 HW #02 -- Charge, Current.
Voltage,
Power. Energy, Basic
Circuit
Elements, Ohm's Law
When a car has
dead ballery, '1
can often be
slarterj
by
connecling
Ihe
ballery Irom anoiher
car
across iis lerminals.
The posit ive
terminate
are
connecied logelher
as are Ihe negative
terminala.
The
conneclion
is illustrateli m
he figure. Assume
Ihe current m he
figure
is
measured
and
ound lo
be 35A .
Part
A
Wnich car has t hè
dead
ballery''
ANSWER:
O
Ca rB .
A /a
U H re n k
C
C n a f t a
d; V f f » of f »
3//Wuu «/«.
J < V
b_ V t =
r̂
b4te7
ù
A
Z^ Car A
ha
^
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8/18/2019 EE 211_212 SP15 HW #02_sol -- Charge, Current, Voltage, Power, Energy, Basic Circuit Elements, Ohm's Law
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Determine th è magnitudes of t hè total power
supplied
and
th è to ta l power
absorbed in thè
circuii.
Express your answers using
t h ree
significant f igure s s e p a r a t e ti b y a c o m m a .
A N S W E R :
•» snn i
_
abs ~
kW
Part
B
Poes
Vivi iwUrtOM £ctt
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8/18/2019 EE 211_212 SP15 HW #02_sol -- Charge, Current, Voltage, Power, Energy, Basic Circuit Elements, Ohm's Law
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8)
Problem i.35 4
If
we
suppose that there
is no
power lost
in
thè wires used
to
distribute power
in a
typical home
we can use
thè
model
for thè
power distribution circuii shown
in
thè figure.
Part
The following wltages and currents are calculated for thè components:
v
b
120 V i
10 A
= 120
Vi f
= 3A
u
g
=120 V H
G
= ?
vh 240 V ih
7A
If
th è
power in this modified model balances what is th è \alue of thè current in component g?
xpr ss your answer to one significa nt figure and include thè appropriate units
A N S W E R :
Kci
tu
•
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9) Calculating Power Using thè Passive Sign Convention 24
Leaming Goal :
To deiermine
Ihe
power of a circuii elemenl where th è tnttage across thè
elemenl
a nd Ihe cunent passing
Ihrough
th è
elemenl
are known.
In electric
circuits. ali elements ha\
a voliage across
them
and a
current
moung
Ihrough them. Depending
Od Ihe
reference direclions, thè element
couid be delivering or
absorbing
power.
In this tutoria , you
will
leam aboul power using t hè passive
sign
convenhon fo r circuii elements where t hè
collage
and current are known.
Part
- Voltage
drop
and currenl
direction
in an
ideai
circuii
element
Delermine
t hè
vollage v\d currenl
| |as
shown
m
hè
figutes below.
Assume
ihat
thè
voltage
drop
between
lerminals
1 and 2 is Vf =— 2 . 9 mV and thal
t hè
cun-enl
enlering
terminal 1 s /* = m
Express your answ«r totwo significar figuret, wiih appropr ia le unite.
You did noi open
hinls
to r this
pari
A N S W E R
_\
0)
(a)
Pari
B - Power calculation for an ideai circuii
element
Th e circuii elemenls shown have
a vrtlage
between terminals
1 and 2 of
V T =
5.8 V. A cunent ol
T
=
-0.90
inA
enters terminal
1.
Calculate
Ihe
power absorbed (positive quanlily)
or
supplied (negative qua nlity) b y eacri
circuii
elemenl.
E x p r e s s y o u r a n s w e r lo
Ihreesignificanl
f igures, w i t t i
appropriate
unils.
You did
noi
open hmts for this
pad.
A N S W E R .
T/U
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8/18/2019 EE 211_212 SP15 HW #02_sol -- Charge, Current, Voltage, Power, Energy, Basic Circuit Elements, Ohm's Law
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i - -0.90 mA
V- -5.8
V
V - 5 . 8 V
i - 0.90 mA
a
v^S.SV
?
hr
•
-
r
f
Pgrj
C •
Balanang power pari 1
A circuii consiste o f f i c e clemente. How much power is dissipaled of deh\ered by elemenl 5 if element 1 is
deji\ennaP|
= 660m\ of power, element 2 is absorbing A =
490ni\Vof
power, elerneni 3 is absorfaing P-
= l_13niW
of power, and element 4 is dehuenng P
=
^30mW ol power.
Express your
answer
wìin
thè appropriate unite
You did noi open
hmts
ftx ihis pari.
VjUi£rvJ
— >
O
ANSWER
50
P3 —
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8/18/2019 EE 211_212 SP15 HW #02_sol -- Charge, Current, Voltage, Power, Energy, Basic Circuit Elements, Ohm's Law
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P
4-
A
= 5.2.
\X/i
w
4
«4= .
.»
(.4
ar t
. tU fĉ aUr̂ or 0.fi««J W
Prob lem2.11
Consider Ihe circuii showii
m
Suppose Ihal
i s
= 29
m
A .
f
Pi
ParjA
Fihd
v
for thè
Circuit
m
t hè figure.
Ex pr es s your
answer
lo three significati figures and
include thè appropriate
units.
A N S W E R
•
•
i,
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8/18/2019 EE 211_212 SP15 HW #02_sol -- Charge, Current, Voltage, Power, Energy, Basic Circuit Elements, Ohm's Law
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V
P a r t B
Find Ihe
BQwer
absortied b y Ihe reaislor (or Ihe circuii
in
t hè fgure.
xpress your answe r
o
lh r e e _ i g n i li c an t ligures and include thè appropriate units.
AN SWER
5
IV
Part
Re\erse
Ihe direction ol Ihe
cuneni sojrce in
t hè circuii shown in Ihe figure and firid or a new Circuit.
Express
your
a n s w e r to t h r e e
signiflcanl
figuresand
include thè appropriate units.
AN SWER
\ /
o V
P a r t o
th è tìireclion ol
Ihe current
source
lor
Ihe circuii shown
in
t hè figure and finti t hè power absorbed by th è
resistor
for
Ihe
new circuii.
Express your
answer
to three s i g n i f i c a
ut
figuresand include Ihe
appropriate
unita.
ANSWER
v
t
Problem2.13
A pair
o
automoli*
headlamps
rs connected lo a 12 V
batlery «a
Ihe arrangement shown m . In Ihe ligure, th è
tnangular
Symbol is used lo indicale t ha t Ihe terminal is connected directly to thè melai frame ol t hè car.
ni p
Pari A
Conslruct a circuii model usmg resislors and an independent
Collage
source. Idenlily th è correspondence between
th è
ideai circuii
elemenl
and
th è symboi
component that il
representa.
Drag
thè
appropriate labels
to
their
respective
t a r g e t s .
AN SWER
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i
•
n
•
,V,
i
swilcli
resistane^
of Ihe
ìa ' r i p
i
esistane
- of hi; i im I;
ninnai
r->'imiaf .;e > > l
he bdtierv
no- load vedati» 0 1 hè -iait*-rv
i
^
1
III-: ictrilj.
A
esisiance
of thè «it between
ihfe
<
. • - . . -
I
' . i r ' 1
l
osa
Problem2.15
A
uarieiy
of \dlage source uelues
were applied lo
thè
deuce
shown in .
Part A
The power absixbed by Ihe
deuce for
each «lue of collage is recorded in Ihe lable below. Use th è «lues in thè t aW e lo construct a circuii rnodel for Ihe tleuce consisting of a single
resistor rCMn Appendix H m
th è
lexlbook.
Delermine th è resisìance ot th è
de«ce.
Ex p r e s s y o u r a n s w e r lo tw o s ignifica ni figuresand include thè appropr iate
uniis.
ANSWER
Electrical Resistance
Learn i ng Goal
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To use Ohnvs law lo calculate
thè
«dtage acrass. thè currenl through, and thè power d iss ipated
labsorbed)
by res is iws.
On e o (
Ihe masi common eJements in eleclnc c ircuils
s
th è resistor. Th e «Jltage across an d Ih e currenl Bowing Ihrough a reaislor a re related lo each other «a Ohm s law. In Ihis lulorial.
yo u wll leam
how to apply Ohm s law to calculate uo ltages, currenls. and powers
^
Calculation
o f
vgltaggj
currenl.
and power
to r
a
r es is to r
and a
conductor
Usmglhe twoc ircu i is be low, calcinale IL
, 1 2 . l i . «2 .
thè power
P^ being
dissipated (absorbed)
by Ihe
resistor,
and
th è co nductance
Pc/i.
Assume thatj
-
2 . 7 A , V
t — .5 V
/?
~
270
Sì.
and
C =
0 . 2 7 S .
E x p r e s s y o u r a n s w e r io tour signif ica ni
f igure
s . Use thè
drop-down
menu to choose units.
You did
n oi
open
hinis to r ihis pari.
A N S W E R
2
ìoo
A
R - i
t
r
(ito
L
3
A
=
=
O.4050A ---4o .0
Pati
B
Anarys is of a circuii containing a vot tage source and resistor
In
th è
circuii below, thè \dtage source supplies
P - 350
tnVV
of
power
and thè
currenl
flowng Ihrough
th è
resislot is — 150
mA. Calculate V
and R.
Express y o u r
a n s w e r
lo th ree
significaot ( igures.
Use thè
drop-down
menu to choose
unite.
Vou did
noi open
hints for
this pari.
ANSWER
- R T ^
> V ^ 2 3 5
v
=
/ = 150 mA
y.Q
R*>V
vh
\z
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art Analysis
of a
circuii conlaining
a
current source
and a
conductance
Q 0 -05 S and thè power being
deli\jered
lo Ihe conductance
is
— 0.25 W. determino V and /
Expres* your
a
nswer lo
Ihree
significa ni
figures. Use
Ine drop down m e nu
to choose unils.
Voti did noi open
hinls
lor Ihis pa d
ANSWER
w A -
Score Summary:
Your score on this assignment is 0.0 .
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receiued Oout
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possale
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poinis.