320 Winter 07 Cockrum
119
California State Polytechnic University, Pomona rJonert-menf of Electrical anci Computer Engineering vv|/u! ECE 320 Linear Active Circuit Design Spring Quarter 2OO7 Course Instructor a\FF: ^^ UI I IUE Office Phone Office Hours Qutzzes (9) Midterm Exam (6th week) Final Exam Total points Possible R. H. Cockrum (rhcockrumGcsupomona. edu) J J'AV 909-869-25L0 MW 10: 00am to 11: 4Oam Tu L2:00 to 12:50pm 90 90 100 100 Course Title: ECE 320 Linear Active Circuit Design course objectives: To study smafl signal modeling and rlaqianq r:F qinr-rle s1-acre and mrr'l fi-sfaoe emnlifiers- '*f I9f g D LqYE qIIs ILLUI L! r uqYv Course Textbook: Neamen or Jaeger any edition Prerequisites: Completion of ECE 220 Co-requisite: none Course Grading: Homework Assignments (9 assignments) 380 Homework is due one week after being handed out - Late work wiIl have Points deducted. Grading is done usinq a curve technique' NO CELL PHONES IN CLASS ! Points may be deducted. No make-up exams will be given' Last day to turn in Late assignments: March 1 ' 2001 ' Final Exam: Wed., March L4, 2001, L:AOpm to 3:4Opm'
-
Upload
api-3741518 -
Category
Documents
-
view
137 -
download
0
Transcript of 320 Winter 07 Cockrum
Cal i fornia State Polytechnic Universi ty, PomonarJonert-menf of Electr ical anci Computer Engineer ingvv| /u!
ECE 320 Linear Active Circuit DesignSpring Quarter 2OO7
Course Instructora\FF: ^^UI I IUE
Off ice PhoneOff ice Hours
Qutzzes (9)
Midterm Exam (6th week)
Final Exam
Total points Possible
R. H. Cockrum (rhcockrumGcsupomona. edu)
J J 'AV
909-869-25L0MW 10: 00am to 11: 4OamTu L2:00 to 12:50pm
90
90
100
100
Course Ti t le: ECE 320 Linear Act ive Circui t Design
course object ives: To study smaf l s ignal model ing andr laqianq r :F qinr-r le s1-acre and mrr ' l f i -sfaoe emnl i f iers-
' * f I9f g D LqYE qIIs ILLUI L! r uqYv
Course Textbook: Neamen or Jaeger any edi t ion
Prerequis i tes: Complet ion of ECE 220Co-requis i te: none
Course Grading:
Homework Assignments (9 assignments)
380
Homework is due one week af ter being handed out - Late
work wi I l have Points deducted.
Grading is done usinq a curve technique'
NO CELL PHONES IN CLASS ! Points may be deducted.
No make-up exams wi l l be given'
Last day to turn in Late assignments: March 1 '
2001 '
Final Exam: Wed., March L4, 2001, L:AOpm to 3:4Opm'
ECE 320 Outline
Week 1 Basic Facts About Amplifrers1. Waveforms2. Active versus Passive Devices: Definitions3. Smail Signal Analysis and Models4. Amplifiers:
a. Types:i. Classifications
ii. Configurationsb. Efficiency: DC to ACc. Design Parameters
i. Techniquesii. AmplifierParameters
iii. Transistor parameters
Weeks 2-5 Amplifier Design and Analysis5. Single Stage BJT Class A Design and Analysis6. Single Stage JFET Class A Design and Analysis7. Single Stage MOSFET Class A Design and Analysis
Week 6 Multiple Stage Amplifier Design and Analysis8. Multi-Stage Amplifiers-BJT/JFET/MOSFET
a. Capacitive Couplingb. Direct Coupling
Week 7 R.eal Operational Amplifiers9. Op Amps: Gain, Offsets, Noise, Bias Currents
Week 8 Feedback in Amplifiers10. Feedback Types: An Overview
Week 9 Effects of Capacitance in Amplifiers1 1. Capacitive Filtering: An Introduction
Week L0 Frequency Response of Amplifiers12. Frequency Response: An Introduction
a. Bode Plotsb. Domainsc. Filter Responsesd. Circuit Wirine Effects
Chapter x : From Neamen textbook.
Class notesClass notesChapters 4, 5, 6 &.7Class notes, 4,6 & 8
Class notes& 4Class notes& 6Class notes& 6
Class notes, 4, & 6
Chapter 9,13, & 14
Chapter 12
Chapter 7
Chapter 7
Revised 3-28-2005
Some Design Considerations for Transistor Amplifiers
---------Transistor Family-----BJT JFET EM-MOSFET DM-MOSFET
Parameter
Operating Mode Enhancement Depletion Enhancement Depletion
Operator Current Voltage / Voltage Voltage
Noise Level High Low Low VerY Low
Power Levels Low to High Low to Moderate Low to Moderate Low to Moderate
Failure Cause Excessive Ie Forward Biased Gate Oxide Breakdown Oxide Breakdown
Switching Speed Low to High Low to High Low to Moderate Low to Moderater- . \ U,i i tu r. . i rr I t t l r t t- l t \ .
Input Impedance Low to Moderate Moderate to High Moderate to Very High High to,Very Hight ,,t
i a.' t,o tl ( ol\'
Cost Low to Moderate Moderate Low to Moderate Moderate to High
Availability Low to High Low to High Low to Moderate Very Low
- t^ l " ' .hot \ \ . , . \^ M,. l - - . . i - r L.-
Lot-
l ,okctro^ t1 l '1 \ \ t$ h ' ' l . - top-;o t ' t l$
Ilr ri c" \
l4wlelvle!q
0.0001- 1 uf
Medium-
rtectrotytic_ lTe4elum - iP
0.1 - 43,000uf 0.0001- 160uf0.1pf-100uf Medium
MediumVery Low
3.0
23
5_
50
SH
EE
TS
- 5
SQ
UA
RE
S3
-02
36
_ 1
OO
S
HE
ET
S _
5 S
QU
AR
ES
3.0
23
7 -
2O
O SH
EE
TS
- 5
SQ
UA
RE
S3
-01
37
_ 2
OO
S
HE
ET
S -
FIL
LE
R
fn o P J
l- t,tr
r
| 5
9
ii
t t
L
F
1
rrs
a-'
l'<
:<
-t:-
';{r
a*F
?ia
_(^
c<
+i
o.l
a5
o-.
grq
<F
a
-h:
-5r.
5-s
-Aa
7y
1-t
ee
95
1
:b in if 1<
-
j -.
jr ic
i ./
l*
' t
lre
it!1
6.J
li
- l:
F-
d/
i1
Bi
t
-i-.
I \.
In
'f3
.>€
11
S
q
:-
;a,g :.
(- i
i>o
i +
' f
!f& "
"F
<
l*r
.*
'-
l?I
--
/'
I <
! |
?
l<i
lAI
r r
lF1
1
6
i^ i.e
!,
;'4
t;.
"'..
re
tr-
€r!
9€
;
:+ 5 a-
-!
a,F
l-r*
t
-r
a--1
, 4
x
,i€
)Ft< 5
-.j
1
<
*'
ia
:-
J*
4j"
IF tj
-'
--+
-.
t
-1 -i-
N I I{.
-
ts
'-P i,
-
; JI 7t
I
: Pq
<r'
d
*
!-
9.
!v ;a
S
*rA
F
1
{.
ea
Lr
* lr
il_
lY i
flf*
E>
2c
to-
7'q s
\-*"
*j\
i
1,r
T{-
| "-
'\-
€ 5
3-0
23
5_
5
0 S
HE
ET
S _
5
SQ
UA
HE
S
i-o
zgo
- 1
oo
sHE
ET
S -
s S
QU
AR
ES
g-0
2g
7
_2
OO
SH
EE
TS
_
5 S
QU
AR
ES
3.0
13
7_
2O
O
SH
EE
TS
-
FIL
LE
R
CO
ME
T
;
I I
,tt
fl-
;
il ----
la4
J/
-rfl
)<
-,"4 ,} e>
+
-1,
] -rr
t<t
1r
\s
*,1
9F
A
ln
-=\
€
l.*
3a
\-r
+-
n(
tiD t
zz
2T
i
*.C
0c F5
?+
at +3
At'
€9
-Prb
^+e
-:4 o
<
> f .i
c c
4S
7 2 <- s
rB r+.i
e;€
rJ9
1
r.*
=-
--_
a
6,5 i> 's 2
\")
f'
v!
u
.- c d
Fo
(G
6
F
e1
f
?
a
6 KJ
3-0
23
5-
50
SH
EE
TS
- 5
SO
UA
RE
S3
.02
36
_ 1
OO
S
HE
ET
S _
5 S
QU
AB
ES
g-O
23
7
_2
OO
SH
EE
TS
_
5 S
QU
AR
ES
3.0
13
7 _
2O
O SH
EE
TS
- F
ILL
ER
l*F
l!?
e. J
) t-"
t&
HF
a?
1lli j
>f
gt
-*
| 7
* l<
P3
l*
JI
I
G' c6 l+
ts"!
t)
l'l
o
,-
): raP c
r rl
]
l\ I t I t I I i I I
F
ilr
A
I21
Atl
Flt
-p
lJ ?
l 4
q' c
l4J
&
a
TN fn 6) 0
€5 z,e
Q-h (^
-i t e o- f ,
3{2
35
_
50
SH
EE
TS
_
5S
QU
AR
ES
3-0
23
6-
10
0S
HE
ET
S
- s
SO
UA
RE
S3
42
37
- 2
00
SH
EE
TS
- s
SQ
UA
RE
S3
-01
37
- 2
00
SH
EE
TS
- F
ILL
ER
I I I--
1-s- l/
' t\ l> l- I --
-r
l-\
t/ IG t\
]--
t€ It It \{ t\ {'^.
.l\
fr:
{t
,-+
--l-s
1 ,"
ltu\t
l e s-a
|*fH
t:
l$
li-6
t t
l.e
3
-F-J
t _-
:-
il-
-lo
o
\.
IO ,T,-
\t/ IO -r
-rt
.I--
f
I I
Tn
(J
O
T"I
t c P
3.0
23
5_
50
SH
EE
TS
- 5
SQ
UA
RE
S3
-02
36
_ lO
O SH
EE
TS
_
5 S
OU
AR
ES
3-0
23
7 _
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 -
2O
O SH
EE
TS
_
FIL
LE
R
CO
ME
T
--'-
-\
;1
--t
\
I
*Y?
v\
.l z<
:e
-..!
Sf.
or^
a-
I
\}
2 F r1 o I
4
{
\ - rl
fl in
r i
:'.
\i
Ff
l-r
r,
Ia
l>P
l
!l<
o
lo
l-lr.
n __
,'
Hi
F,
al'
| 5
--:-
/--
slF I
-l
'l
>-- >
t^L
oE
t<
("-J
l lH
- t! ts
-_".
-
\-c
. I rl I t-
5l@
c
lz
rl 4 o trl^
- t?
F\\
l'
Cal.ifornj-a State PoJ-ytechnic University, Pomona.EJ-ectrical- and Computer Engineering Department
ECE 320Homework #1
Device Problems
1. For a s i l icon (Si) smal l s ignal t ransistor operat ing at 300Kwith a base to emit ter junct ion diode reverse saturat ioncurrent of 1 nanoAmpere and a measured vol tage across the base-amit- far - ' ,nct ion of 0.75 vol ts, f ind the current f lowinqthrough t .he ;unct ion. Show answer in mi l l iAmperes.
2. For a germanium (Ge) smal l s ignal d iode operat ing at 300K witha reverse saturat ion current of 0.1 nanoAmpere and a measured.rrnl t - :aa i - ross the diode of 0.35 vol ts, f ind the currentf lowing through the diode. Show answer in mi l l iAmperes.
Transistor Biasing Configuration
3. A bipolar junct ion s i l icon (Si) t ransistor is used in a conmonemit ter (CE) conf igurat ion wi th an emit ter resistor (R") . I f thetransistor has a F:50, the col lector resistor (R.) is 10Kohms, the emit ter resistor (R") is 100 ohms, and che base biasraqiql-nr 1Rs) is 50K ohms, f ind the current in the base ( Ie) ,\col lector ( Ic) and emit ter ( Is) c i rcui t paths.
Circuit Models
4. For the t ransistor c i rcui t descr ibed in problem 3, drawthe ac smal l s ignal hybr id c l rcuj- t model. Assume hi" :1.1 Kohms, hr" = 2.5 x 10-4, and ho" = 25 microAmperes per vol t .
CaliforniaStatePolytechnicUniversity'Pomonan.putt**t of Electrical and Computer Engineering
ECE 320 Quiz #1 rg
Determine the value of Vsp for the transistor shown beiow'Ie: 1 PA.-7
e.V
xo = r.(e il-ot- r )-+lo
Vrt
6Esl@nu Dtoog gooAfloN
5o: I * ,o-9 o
&s = zl.a mVn1=z
.7/ t ,
l i"8:
\_, i ,
L;. / ,t , ( t , t
nt ) ./ / / ,; t ' tJ
c,. z{ l
t se
uq,
it, - .), , t31 ,
\;=*=
iJ"
3-0
23
5_
5
0 S
HE
ET
S _
5 S
QU
AR
ES
3.0
23
6_
1O
O
SH
EE
TS
_
5 S
QU
AB
ES
3-0
23
7 _2
OO
SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 -
20
0 S
HE
ET
S -
FIL
LE
R
'lfr FJ o
Y) :' r
.--/
-
I J
cJ
t)9
.^>
a
-I
tlb
I
I:
cf- ;'4
2T
rc
<--
{,+
-lo
,2 i e.7
^7
li{J
? =fl
-l-
n !*
^lrr
.-*
ri<
I
"r
i>
l-
! r
@l-
lTi
* l
/\
Ii
<1a
L-r
-*--
-l--
t<
I
E
I
-l=
-bl^
l+
FF
I!
!/
€-r
-i"I
<F
l
a
{--{
<
-l
6
,,
t1
qG
O
.,.c
2
.\
a.
arn
?'r
a.?
/@
?
-L
l)
aa
EP
arn
;k
-4?
"v
J
-
)-
OF
'Fc
G-
fT
4
za
,
-h
r-l
Ha
;i
rl
C
i-l
an
,it
F*v
1d
>J
it-
[.J o,/
-F
! I
l-
- -u
Il
,
c'
"/ ? 3
stt
-
t
,t
15
c'
nE
l>
--
' 1
1
N>
1-a ?
t il
i'-r
l_
l-
<
t!a
l>
r+
1
.P tz 2
($
tl
6- a, d^
'^
:- I
Ll
;b
/\
l<4
l
-lilf,
io-.
ir
l-
":i
;iv
--
- i.
-
9i-
,
----
t
LI
F
-_ l
A1
\<i
-
I I J 3-I
Jrr
o
lo tl
l= lr l" l- l^ to l; la \-
! l
4
f c i
3-0
23
5_
5
0 S
HE
ET
S _
5 S
QU
AR
ES
3.0
23
6 _
lOO
SH
EE
TS
_
5 S
QU
AR
ES
3-0
23
7 _
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 _
2O
O SH
EE
TS
- F
ILL
ER
CO
ME
T
:-
F-l
s
(t
rt
7--
<.
a
ffl c
F e
^J!
r
* c vl
:- 4-) o
e-l
CJ
.:
n
a
G
;v!
cr< ;-
a'"
I I*-
^"-J
J*i
/ I/:
/<
-*1J
9E ?"
"p Fl< I
ll {
\
a4
.g-
K.-
oil
^\d
f\
J -x
I
J I
7a a
f 5 o
=
-=-{
tr1
.F n o
PP
Hff,
',
lt d d
t-|
,H -
ab
o o 3 .>
L'l
P
:- o\
o J (4c I
- vt c.
H
h Hs
fi
.J -, P
rl i,
o '-
di
q- xl( 4,, F (
-+.
ao
Caiifomia State Polyechnic University, PomonaDepartment of Electrical and Computer Engineering
ECE 320 Quiz#2
Name: 1ot"^ Al lu fv,+
Draw the hybrid-Il model for the following circuit. Label ali components in the model.
t--- Vc"
l.-vo
- {ee
to
ttD
t:
f' C )l(
fl <-.
i
(a
I
c-
--
i-
El
lF I' tl g
3{2
35
_
50
SH
EE
TS
_
5 S
QU
AR
ES
3-0
23
6_
1O
O
SH
EE
TS
_
5 S
QU
AR
ES
3.0
23
7 _2
OO
SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 -
20
0 S
HE
ET
S _
FT
LL
ER
S
.-
l"I l\
t'
pl?
+
l-
w+
l l'
^
I F
?
lc+
l ; n
.\.
-t-,|,
nlt
Jn
lts
('
* it
u'
ta
r
"la
:l 'Ifr
l-
2 F
.v
3-0
23
5_
50
SH
EE
TS
_
5 S
OU
AR
ES
3-0
23
6_
lOO
SH
EE
TS
_
s
SQ
UA
RE
Sg
.O2
g7
_
2O
O S
HE
ET
S _
5 S
QU
AR
ES
3-0
13
7 -
2o
O SH
EE
TS
- F
ILL
ER
(o a (' \- -ilN t-
\lo IJ
YJ r
.l-
I
I
(r
c
5 I4 t- I-@
l7,t
-
It tF lv
t2c '-T
\
e f ^
-@
I tT J c
r--1
-- l4*1
7f
tF
cal i fornia state Polytechnic universi ty, Pomona'
Electr ical and Computer Engineer ing Department
ECE 320 Homework #2
Draw the dc schematic mod.el , the hybr id, and the hybr id-pi smal l
s ignalacmodelforeachofthefol lowingconf igurat ions:
1. Common emit ter , sel f -b iased' grounded emit ter '
2.Commonemit ter ,sel f -b iased,withemj-t terresistor.3. Common emit ter , sel f -b iased, beta- ind'ependent, grounded
emit ter ' .4.Commonemit ter ,sel f_biased,beta- independent,wi th
emit ter resistor '5. Common col lector, sel f -b iased' col lector grounded'
6.Commoncol lector,sel f -b iased,withcol lectorresistor.-1. common cor lector, se1.f-biased, beta- independent, col lector
grounded 'B. Common col lector, sel f -b iased' , beta- independent, wi th
col lector resistor
Derive the equat ions for vol tage and current gain and rnput and
Output resisCance for e.ach circui t '
JC
4
3.0
23
5_
50
SH
EE
TS
_
5S
QU
AR
ES
3-0
23
6_
lOO
SH
EE
TS
_
5
SQ
UA
RE
S3
.02
97
_
2O
O SH
EE
TS
_
5 S
QU
AR
ES
S-O
13
7
_
2O
O SH
EE
TS
_
FIL
LE
R
-L"
r-tl
Ff\ o
-T- I I C)
.T \9
-r
n<*J
'
q t'.<
I_t
_
*r\ ,
-T- I ! I 5
T I
--]- I l o
Td-
J
J 0 f t f> a t- ,
o
T I
3.0
23
5_
sO
SH
EE
TS
_
5
SQ
UA
RE
S3
-02
36
- 1
OO
S
HE
ET
S _
5S
QU
AR
ES
34
25
7 _2
OO
SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7_
2O
O
SH
EE
TS
_
FIL
LE
R
/I
,s r 3.
o-
J
1 -Ia
c 7
.J
!t- a f? "+
3-0
23
5_
sO
SH
EE
TS
_
5
SQ
UA
RE
S3
.02
36
_ 1
OO
S
HE
ET
S _
5 S
QU
AR
ES
3-0
23
7 _
2O
O SH
EE
TS
- 5
SQ
UA
RE
S3
-01
37
_
2O
O SH
EE
TS
_
FIL
LE
R
6-q
- J
s { €- lf I
r t-
-tr
F
3-0
23
5_
5
0 S
HE
ET
S _
5 S
OU
AR
ES
3.0
23
6_
1O
O
SH
EE
TS
_
5 S
QU
AR
ES
3-0
23
7 _
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 _
2O
O SH
EE
TS
_
FIL
LE
R
c<
r L. J
-J f.
L
1
3-0
23
5_
50
SH
EE
TS
_
sS
QU
AR
ES
3.0
23
6_
lOO
SH
EE
TS
_
5
SQ
UA
RE
S3
-02
37
_
2O
O SH
EE
TS
- 5
SQ
UA
RE
S3
-01
37
_
2O
O SH
EE
TS
_
FIL
LE
R
CO
ME
T
T} Ff (' e -J o
va
-
^ i-L
\JI'
fl {-7
E
I c
-'
-t*
tnrl
>7
*t
^a-l\|
-Ic
d
n--
f
?
:::=
:r-
_-\
^t +
=r-
-I
F pe fn
tl
^l iP
l:-
t<rl
- 7-
l,--
/'n
l=
+
lrr
IF
I
<l<
e
- lc
2
l^
^t
lH
^'
l!
tl
rI
< \
<.'
la
i!
s 7 J ?
-"
?F
f r I I
7
ol
^l ^lV
>
I7
lI I
ft
- \F
'
+
l7'
^to
Gl
IF
l
aS
'
--.-
17
J I
tf1
3-0
23
5_
5
0 S
HE
ET
S _
5 S
QU
AR
ES
3.0
23
6_
1O
O
SH
EE
TS
_
5 S
QU
AR
ES
3-0
23
7 _
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 _
2O
O SH
EE
TS
_
FIL
LE
R
CO
ME
T
F a-
J
o J
tt
t-e
. I
-
q
'I
C. T
L.{
IH
.'-
' lo
t a'
fi
€ l-e
l€ t-P
l*F
l:
t\.-
.r\- ii l-
+-r
zll.a
l*
c-F c
lr l. ln l.- c : F
--l )-
{'
c
16
.le
iPl-
=
nl'
- l'
:r"
l;1
1 l
?li
le
I !:--
=
l-<
.l
2\-
el
+
5l-
l=P
16
<lf
=\:
sl(
'l
lFF
I
- i:
f
"iir
a1
f.
\Fc
i*
+
i$
a-t-
e
1-
*jo
I
PF
c
a-
a>
a
J
Cal i fornia State Polytechnic Universi ty, Pomona.Electr i -cal and Computer Engineer ing Department
ECE 320 Homework #3
ITqi na f ha hrr l - r r i d-ni cm:T I c i ^-- ' l - - nndal r la l - ormi no f 1- 'a
UJl t -V LI Ig l lvU! I l l - lJ I DILTOII DI\JLLd.-L d.U ILLLr( lE! / UE LEI- ILI1lg Lt lU
input and output resisLance/ and the vol tage and currentgains for the c i rcui t below
Vi
-{ - lo
[-vo' *1Rr
V1= V6y = 50 f
hre = ?a9tK
QQ = loo,q'$
F =tgI
$ . L9-v nV
| = Sool(h€.
{
Rir
2. Design a constant currentbeta:100. hoe= 3.1 mi l l imho.2 s i l icon diodes as a vol tase
source to supply 10 mA to a load. LetVcc:+10 vol ts and Vee=-10 vol ts. Use
reference.
3.0
23
5_
5
0 S
HE
ET
S _
5 S
QU
AR
ES
3-0
23
6-
1O
O
SH
EE
TS
_
5 S
OU
AR
ES
3.0
23
7 _2
OO
SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7-
2O
O
SH
EE
TS
- F
ILL
ER
!t
J-
s!
d#
q
CO
ME
T
f
-l
- .'
'l-n
Go
l (€\F
ri
\r
lt
<::
r'-s
''
.f+
-a
rJi4
oq
't
7-r
*<e
)> a
F
-'o (' c -(:
l*P
\-
in
1 -.
?J
a
a a
2
?lf
o z t
---lr
a--1
4-I I
v
c-
f,
A
/l<
cr
", l-
-.\o
-sz
I,-
-^J !i
\(+
**-J {\ _
rtr* I
r-<
__l
-1
^F r*l "f ;' l. f
ril
| --
r|'-
-l-" +
I
'-"'
?tr
=\
JI
.-
a -_ !
q
. i!
. l(
tj 7
:,a
:
I' \< t^ I \' ,,- t:,
Iu
ul
Pl
{- t't-
|
v\
l-r
l-1
6lo
jl\
I'lr
l(,r
, ?
I
t-
- l_
-lt-
rr
- :
i-t
!-^+
---.
{I
-l o\
i ;
3{2
35
_
50
SH
EE
TS
- 5
SO
UA
RE
S3
-02
36
_ 1
OO
S
HE
ET
S _
5 S
QU
AB
ES
3-0
29
7 _
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3.0
13
7 -
2O
O SH
EE
TS
- F
ILL
ER
CO
ME
T
d c
t,t
C-p
:-
i,
I
-t
I -r
-J-
9
'l Ict
---l
Iv
ii*5
.-;>
L
l
I
?( (
t7
\P
i-,
l^
d
1,a I
j. l3 Ir i5 lr I I t l- 14
,I
7. i r
a J J !"
\ rl
'o J
P
+l
lJ
un
(
-?F
l
l-\
fr (,t
I
'' a
tr^
€-t
+-x
+
:.
-t
c] t-
fl : J
rl li - \e
-tT
'<
t .lc
('F
!r
i> 6-
^ --
--i? ,_
-46
rP
ci
J>
< l
.a
- i
o
-- | / I
/'-
|:l -l -,\
=1
Jl
i-5
,r
aJ
_ .C bn
I:I
i-/
" l;
^t--
9 -N ;-II
!I
,tt-
l\(4
l:
.^
-l:
-al^
- lq i-
d
\,r
el
-il
c
{6
\i
:
tl 1
^diT -q
.1"
:P
:" o -. -t
3-0
23
5_
SO
SH
EE
TS
_
5
SO
UA
RE
S3
.02
36
_ l
OO
SH
EE
TS
- 5
SQ
UA
RE
S3
-02
37
_
2O
O SH
EE
TS
_
5 S
OU
AR
ES
3.0
13
7 _
2O
O SH
EE
TS
- F
ILL
ER
F J
I
-l(
)l'
I p
l€
lql- l-
l*t:
\=
li-\
- l+
-l
| /-'
F
ITP
1
3.1
,i ra lc t" l- lr.
lv I'
H
-L \r/ 1\>
, V \
av
a-
L4
il
I o
-t o o
>
<-
(l p3 rt,-
e d fa
(te
a
-I
I7
s
1l-
.t
l:"
:__
l-
.I
-*I l^
. (
lF4
l-
.^
!{
;e
\ I
lj
aAj f
/ tl
;l -s
.-l
RI
:15
l-*
l.
,I -
o
6 rJ
.O
:-
3-0
23
5-
50
SH
EE
TS
_
5S
QU
AR
ES
3.0
23
6_
lO
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
23
7 -
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 _
2O
O SH
EE
TS
_
FIL
LE
R
r---
----
----
)
l-,
|._
---.
./
i-<
*np
\F<
l<
-
P c=
I
a7-,
n e
s o .J
(/_
1
. ^;
--
t
\'-
._
lc"
a
_
l!a
l;
e
l'
+J
:
eI
e
7^
5,
,l-
r-*'
-/;
--li
<l
1:
l_ lt-
{---
{'L_
_-,)
i .t-
ia
i{l
lz lt-
i>
Y o
I
.D
California State Polytechnic University, Pomona
Deparhnent of Electrical and Computer Engineering
ECE 320 Quiz#
lo\^ A' /rlgu !, r IName:
Determine rn for the circuit shown
Vrc:0.7 volts
Vr:25.8 mV
9:99
0 looL
lr t,7r , € -
LC
1 to,- t _0,- lt ) - - . . - -*-
s
r r0L r ( r r+1) 1o
= lo '1"/A
LLI _
1ZJ,! n^ V
' Jc,hlo " 1 l (x, ,1r tva)
+ lo '7
^^ '1 . i t rnna4 = Qi- ta
\-d,* I !LJl-r1-La ! ua !E
nr ^ -L--J -- I - -J
! , IeULIIUd-r arru
Pnl rr l -er lhni c UniversL vr_I vv
-^F6ra+^- Fnni
-aar i nr t
\ - \ - l lLt ! fu LE! l r rY!rrvv! l r rY
i l - r r Dnmnn:Lv! |
f lane r fmart f!vyq!
For the
ECE 320 Homework #4
trni .^r ernnl i f ier c i rcui ts shown beiow, caiculate:LyYV ---
. -_-
the Vottage 99in,the Current gain,rhe Tnorr t Resistance, andl-ha Orrf nrr t Resistance.ul le
+lfv
o. l
1.2.?
A 4\"""r( , ,
O/I
' \.)
r\
A
p: too
8.o6 K.Ve L7,Z
q?a.a
p>roo
:T',
F?'
"
rJ G C'
J t
c l
' <
"*
3-0
23
5-
50
SH
EE
TS
_
5 S
QU
AR
ES
3.0
23
6 _
1O
O SH
EE
TS
- 5
SQ
UA
RE
S3
-02
37
_
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 _
2O
O SH
EE
TS
- F
ILL
ER
c
at
<\<
-o
C=
(s
\_
I l-
r
I
-tv
JF c
tl
- l-
6
l'rl
P
-l<
-Y
rl-1
fl
a C
>l
( I
G
l:
t.
!*t
l\r
-\-l
*-a
?
i:
\
r
;,F
r\F
l
7
c
>{
I I
2- :
aF
,
d
c
,trJ
l<
a I z
!.
J G
)li-
F
l?*t
n!
!- \q 1i t il \'-
6'
'-
-t> )
Fl
^l
r
-:r-
j
i-F
i-
&
-?
\-i,
-::
J
\.c
':l4
ic
l^-s
r+
\ ;H
4
*-iS
O1
t
F:?
tl
I i
<_*
_j/
) I
-ij
al
Oi
-tI
^i
=>
r{ I ( (
(:)
t-.
i
r{
J
1a
o
.-,
(- (
\-/:
,'^
1/
'.l/
i
3.0
23
5_
5
0 S
HE
ET
S _
5 S
QU
AR
ES
3-0
23
6 _
lOO
SH
EE
TS
_
5 S
QU
AR
ES
3.0
23
7 _
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7_
2O
O
SH
EE
TS
_
FIL
LE
R
CO
ME
T
o
lr+
i- !*
r
F
.,i
-,-j
.4-
,a
.F
5-
-j
'7
=
-_.r
'i.
/-
-' 'c:
F
*j.
Ig
6-
C
€f >U
{- 6 f t a 6' v
r>? -
(
l/ {<
, :-
:)
^ I
a f-
a
- l-
-i
^
- l*
iF
1f t- l-4
v
t .-
^ lE
-t ---
c-
',*
>l
rD
la-
Ittl
FI
cl
J C -: C
G
L-
:
rl sl.
j-
lc*
loe
\lF
l
tt 5?
' {
- r(r
-l*
Cal i forni-a ScateElectr ical and
Po' i r r tar-hn i r - Tln i r rers ' i 1- rz - Pomgna.vLe4vJ I
Computer Enqineerinq Department
[uE slu FiomeworK f 5
For the c i rcui t shown below, determine:
1 mL ' l r^^^ ^- . i -J. r -1rs vrJJ-Lo.9€ 9eirr
2. The current gain3. The input resistance4. The output resistance( Tha nr*. . , FJWer gar-n
Let Vbe=O.7 vol ts and Va:200.
l3. l t r
3.0
23
5_
sO
SH
EE
TS
_
5
SQ
UA
RE
S3
-02
36
_ lO
OS
HE
ET
S
_
5S
OU
AR
ES
3-0
23
7 -
20
0 S
HE
ET
S _
5 S
OU
AR
ES
3-0
13
7 _
2O
O SH
EE
TS
_
FIL
LE
R
CO
ME
T
frr in N h t
'4 t t J
7 1- jclJ
ad
:-) -*
^,"^
<i
- n
i-
'-
z
t =
.\e
i=tf
.ft
v^r
e
7 a
) *
L-
? |
4
Ia
-l
.6-4
5
.1
- a.
-:P
a <:F >
6
F{
av
n?
i/
,:f)
>2
*
s,€
C alifornia State Po lytechnic University, PomonaDepartment of Eiectrical and Computer Engineering
ECE 320 Midterm Exam
1. Draw the hybrid-li model for the amplifier shown below. Label ALL componentswith appropriate values. Ve: 600, F:49, V1:25.8 mV, and Vs6:0.7 volts.
+f zyl- Vo
'Loo
FV;-5
2. Determine the voltage gain for the following amplifier circuit. Show EXACTsolution. Vs6:0.7, p = 100, rn:2580, ro= oo.
vcc,lt(
t-v;
Vo
3. Determine the current gain A11=I1lIi for the following circuit. Show EXACTsolution. Vsg: 0.7, p:120, ro: o, and rr- 258. Remember the load!
vo
lo0
4,, Find the input and output resistances for the circuit sho'wn below.Vr:25.8 mV, Vsp:0.7, Vn=600, and B:100.
+5
cd-a
5. Find Ic in the constant currentIz:0.100 mA, I6ss: 15 mA, q=
3l't'sE
source shown below.'2 and P: 120'
Vr:25.8 mV, VsE:0.7,
,**O I
2a
3€
23
5_
5
0S
HE
ET
S _
5S
QU
AR
ES
3-0
23
6_
lOO
SH
EE
TS
_
s
SQ
UA
RE
S9
-02
37
-20
0
SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 -
20
0 S
HE
ET
S _
FT
LL
ER
€o tT' c c,l
( _l
_q i i -L -r t_ lo le la I F
--rv
!Ll
l{iA
I4
--M
+.!f
'--*
'\!i
l-"'
i-J
- T\
1J
f--r
-3
5
:(
1-
t{ FT
| '-
'_
r t_
+b
a I 9
d'i
flI j
rot
LI
a'f
t"i
\ r(.
||<
.a t
t+ i<-=
l{ I I'-
It I t< lF li t
; l-
F
I-
la
eI I
I +
t^ lv?
lr
:-
t-,-
-:
j
al-
>*
/tl
+
7"F
f e 6-
4c
d
rl (- \ > ) v f
>
s o
IL
r l<
F
l-F
'l
( ,,
-)l
61
J
'all
.4
l-
; -J
-
lt
.t'
i-\.
a
;>6
rl
t/
',1
4--
ld-
lv.-
\g
?
4t
3.0
23
5_
sO
SH
EE
TS
_
5
SQ
UA
RE
S3
-02
36
_ lO
OS
HE
ET
S
_
5S
OU
AR
ES
3.0
23
7 _2
OO
SH
EE
TS
_
5 S
QU
AR
ES
3{1
37
_
2O
O SH
EE
TS
_
FIL
LE
R
CO
ME
T
c\ u t 7 s' (
.4- ?
o4
('
-ie '\
l6
F c
,l) Do tF.
rl \F
lr l"
F -
?a 5?
r -
F l> Ie
-t '_t-
-ll^ t+ i- 1
-
iP IP ieC c
t-l -
.\<
--
l5
J
f
-o
f n
7 r c
_l
^l - \a
v' D
E
I.l
^v
lv ^l-
'l /-
f--\
J\:
l + (-)
c
7"
3.0
23
5_
5
0 S
HE
ET
S _
5 S
QU
AR
ES
3-0
23
6_
lOO
SH
EE
TS
_
s
SQ
UA
RE
S3
.02
37
_2
OO
SH
EE
TS
_
5 S
QU
AR
ES
3€
13
7_
2O
O SH
EE
TS
_
FIL
LE
R
I**
:
-isl
^c
CO
ME
T
q
I I I
J- ,/\
q_":
-1
\_*N
___1
f/
ra
tt
-J_ -r I l
ll-
l- t\
2l'
i'l
F
F tl
a 0 \ :
L
tl
->>
c
1f a o C
)C
(:-
{J
r-<
l/ i It'R ,H
I \ F I i
/l c
l"(
i l{ l^
* lw t-
,
€l
I
I
f a
.Jt
.'
l6-
;l;
<l
6 Fr
J .,.
-,<
^i
+.1
-l>
i
'<l" .$
--l<
4
id-
C+
t
3-0
23
5_
5
0 S
HE
ET
S _
sSQ
UA
RE
S
ffii6
-
too s
Hge
rs -
5 S
QU
AR
ES
iizsl
-z
oo s
HE
ET
S
- 5
SQ
UA
RE
Sill
at
- 2o
o sH
EE
rs -
FIL
LER
I I )-> r
l'.-
llr
pi
i\ ='t-
---1
Iil C
.
da Y
'
;- a
/? /r
/? \{
, -
l/
i ^
'"'\
: o
\
-l,
, \7
- F
\/
tl
>l
i>
t-IA
* -i
l^
.l
6
<_
\l I
I \-+
-, \
c,I
a,
\:r-
\J
ui
J F u-\-
i
.:2
!(\
'T dr
+ : 7 +
7
P
.\,
?
^t
\*=
(^.r
rl
? 3-i
F
--\-
F <6
\/.
\F:-
*
trG aT
F--
-/
=
(
2l-
Fl> e
i - d C J 5- ')
r J = A \
I i I I I I I I \ i
-l-,1
-lI
al
I
c' e ; 4
I
-l- o
l-'
d-
l6
-lf
^ ll 1
(
;-<
a J
CO
ME
T3
{23
5_
5
0S
HE
ET
S _
5S
QU
AR
ES
3-0
23
6-
10
0 S
HE
ET
S _
s S
QU
AR
ES
3-0
23
7 _
2O
O SH
EE
TS
- 5
SQ
UA
RE
S3
-01
37
- 2
00
SH
EE
TS
_
FT
LL
ER
e
<\
<-
oJ
-) if
-t
(-s
F,F
-€- +
c'
l(F
l- 1-
I
d i
c"r
-lF
/.\
Fi
7
+ I
c
ar--
'----
^^r-
l
I "o
a If q
.i
I
t\
tl (
( I l.
- I
I
G
:-- t
C - I
-D
I
-l F n
--
l-
r lF la
g
-l^
"l+ f
ptF
+
-. t--l
^ .la f
-F
,) fi'
CJ
er {
F
t
-^t-
l
cu
5
o
l-
:1f
7
,)
: (.
t 1
.l.r {
.I
(c
I a a
,JI
r
q
O
+
+ ^i o
- <
c,
t-r
\.'
? -\;
( :- r
ES
r
CO
ME
Tg
-g?
?5
_ 5
0 S
HE
ET
S
_ 5
SQ
UA
RE
Sg
-9?
36
_ 1o
o SH
EE
TS
_
5 S
QU
AR
ES
?-y
?l -
2o
o sH
EE
rs
_ 5
sou
AR
Es
3-0
13
7_
2O
O
SH
EE
TS
_
FIL
LE
R
7. :-
IF
'r
Io
1,l
L-!
F
/i l '-
r c
'i
\n,
c
l -- -:.
.:.
o L
.t 1l
-*--
ii-i
:;=t^
'j .-
,
.jF--
-G__
-J
.lrl
I r,-
-^.\
L
/;'
-cI I I l I
- r'
J.
1
l+'
l; { i,
'O!'
ill
.-i
{ I f/i
.,
-q- ".'
4 l,
.^\{
_-
. /-
:,
t+\-
----
{ i -
-!+
-.
e9
+ ,;
t* t; l)
' -
{--4
-1*-
{a
-,
t
PS
J I I Il)
- '
t.*i
-.'
ra '\ t/
/ lr-
le=
.-\
i (
'- /-
--v'
_ --
l i t\F
-*=
;
'r=
: b
,,
...b '-
r\\'
r*-
1'l
l F*
j {
'.A
'-5
e , i_
.
'S
4
''''t
---l
i-g
*F
l-
-*-
-*\
. /-
-\
',
+--
:'
3.0
23
5_
5
0 S
HE
ET
S _
5 S
QU
AR
ES
3.0
23
6-
lOO
SH
EE
TS
_
5 S
QU
AR
ES
3-0
23
7 _
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 _
2O
O SH
EE
TS
_
FIL
LE
H
CO
ME
T
rr.
d
?-
T
/b r
rd!
t'
<
:
.C
^_
a ^
- -.
l-
*a
lr
,^! :+ Lv
rJ
\r C
l*
r.
lr
.1,
t-
6
J
I
FIn
)
' L
:_ t-L ll
\l
\ .' ^ I )::
T
I>
t<t-
r- |
I
a 1-
^ a
rl
';-=
,:"
?
?
(r
'
a
T 't-.
.. I
.
t-'l
'
t- t'
i'i-
,fr
l
I r-
'-.
i* tJ
1. F
CO
ME
Tl-
g?
gg
_ 50
sHE
Ers
_
sS
QU
AR
ES
t-g
?g
g- 1
oo
sHE
Ers
_
5 so
uA
RE
s1
gg
l_ 2
oo
sHE
Ers
_
5 so
uA
HE
a3
-01
37
_
2O
O SH
EE
TS
_
FIL
LE
R
F; l,
-<
-)'
(
I ,
C) ,
; a'
ld 5z
-9
i',t
I
i
: -i,
\.7
i
-ry
t1
l*T
-
t a
I
I 6c
,
(:-
c
? c" ?
C- (
rl - 1
6
trt-
,7
>
l>r
lt
7
-'.-
\ l-
.\e
b
l ^'
r \t
- e
l'
-r
r^( !
!a\I
Er-
l+
t-
a
'j
'-
<',
-=
4-
-/
C) t,/
.ot
C,
o
I
;-
T_
; (" c
cf
a
<
^ L
-
?
"-;-
l- )
3.0
23
5_
50
SH
EE
TS
_
5S
QU
AR
ES
3.0
23
6_
lOO
SH
EE
TS
_
5
SO
UA
RE
SS
-O2
37
_
2
OO
SH
EE
TS
- 5
SQ
UA
RE
S3
{13
7 _
2
OO
SH
EE
TS
_
FIL
LE
R
ll
| -
-. 6- F_
6- f,
: t=-\
=' rJ
L-)
CO
ME
T
(
o o : - =
C
n
6 d J 9
i l
r
I-;
t- I l^ j!
6-l
-
€lr
r,
Ir t- t- I
- l{ t{
?v
f c :
d- - 'C (-
a'
( 7$ C
6- _- c: (
-,:^ i-
.
t- l--
i- i:^ a ir
j)
>
J ej
iq lC 'L) i-
(---
-\
+I c
Y!
dl
?
California State Polytechnic University, pomonaDepartment of Electrical and Computer Engineering
ECE 320 Quiz #5
Name:
Determine the total voltage gain for the circuit shown. Give your answer in linear math.
fnt,In2 : 1000
fe1rf62:o
P1, P2: 100
r l ldB
Ana, = ZofuS,o Avu*,ou
I t r t l t ro " J j
)3 = 1<' l - ' , , , A,
r?JY I_ _ , ,uI
,o A,1tt
11/-' lo A
? - t'tv
Av' S. Z0
loLu. A, / l l tu{v;r
Cal i fornia State, E ' l ar- l . r i r -z I =nr{
' i : : : -
Polytechnic Universl ty, Pomona.Cgmputer Engineeling Department
' ) .
. i ' ; . '
, . . , ' t . . ' , , . , I
direct .coupled.gai.n ;df ld. input
:. ' - . : .
ECE 32O .Homework # 6
ampl i f ier shown below, f indand output. resigtances.
. l
' j. :
+1^^ r^+-1Lrrg t - rJ Lct l -
MV
3.0
23
5_
50
SH
EE
TS
_
5S
QU
AR
ES
3.0
23
6_
lOO
SH
EE
TS
_
5
SQ
UA
RE
S3
42
37
_2
OO
SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 _
2O
O SH
EE
TS
_
FIL
LE
R
CO
ME
T
{
J V1
I
J
I.A f : J C
,-s
J-
.j
tl
,
-a(-
an ;
; \
a i r
I -9 : c
6- f C
J , : a 7
?,
c)
Califomia State Polltechnic University, PomonaDepartment of Electrical and Computer Engineering
ECE 320 Quiz #6
Name:-Ju\r"
A, Alrrulv i^
Find Avr for the direct coupled amplifier shown below. Give exact solution.
Fr : Fz: 100
Trl :Tn2:1000
f61:I92: co
Vbrl : Yuez:0.7
*vo
4
A.Av.
AV,
i l r , ' l - - r - l
e {' 1*. f ,u,o 'ts
,L- i I Ii -f;J
3-0
23
5_
50
SH
EE
TS
_
5 S
QU
AR
ES
3-0
23
6_
1O
O
SH
EE
TS
- 5
SQ
UA
RE
S3
.02
37
_
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3.0
13
7-
2O
O
SH
EE
TS
- F
ILL
ER
CO
ME
T
ir C.
aT I
.ld
r!
v9
I 7 - 1a q -b 3
-{
1.: , -4.
;f,
f
a
O
I
a)
t,t
7 P5
(
! -_:.
:.
- i<
-1
-',
-l
6 c
I!
l.
<_
<
!{<
"
I l=
!L
.r
{-
>l
;l-_
-j,
iI
L/,
i ./
'.l.
/l,
,t\
'./
d
+-,
/ i
l,/r
l/ { t\'
I iJ=
<
<F
-
sd
i;
.
e e = + a
{
:-I
-t-
\
;'\g
I
,-+
3
f C.
'4 NJ (l
Ci: o
-c
C
t
Hl+
\:i
-l
C
la i lr
;
L*-; 'l
t<
4F
\I
,*.*
=]
i€<
t-+
ry!
c
c'
CaLifornia StateElectr ical and
Po' i rz ier :hni r : TTni r rers i i rz- PomonaLILJ u4eJl r !
f -nmnrrtar F,nr* i nc.^r i nct Dena rEmentvvlLrvuu!! l r rY*:rev!- : ;Y
For the
. \
h\MI
- let
.{ \v/
1.
t ruE; 1lv f lomeworK # |
circui ts shown below, determine:
!L^ - ,^1f -^^ ^- . : -
tha nt t r ranl ' f r : Y al_n /l -ha ' i nnlr i - raq' i o-
-h^aur lE r l rvuu !EoIJ Ld.J. I \ -E;
!L^ ^, , r* , , . ] - -^^ i - !
vo
2.b)
3-0
23
5_
50
SH
EE
TS
- 5
SQ
UA
RE
S3
-02
36
- 1
OO
S
HE
ET
S _
5 S
QU
AR
ES
3-0
23
7 _
2O
O SH
EE
TS
- 5
SQ
UA
RE
S3
.01
37
- 2
OO
S
HE
ET
S _
FIL
LE
R
i.(
I
--t
_-r
It'
.J *j <-
.i
: --.
I I
1:-
I i J
.*J
.
, ..
:-
!t';
:
(-
.'l
,*--
]
-1
--- 1
$
4_
-.
_.\
{\
) l I
J -
- ."
\-'-.
-_.i
.'-
I
3.0
23
5_
50
SH
EE
TS
_
5S
QU
AR
ES
3.0
23
6_
lOO
SH
EE
TS
_
5S
QU
AR
ES
5.0
23
7 _
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3{1
37
_
2O
O SH
EE
TS
_
FIL
LE
R
J: I Il-.
_^^J
--1 p1
IL
(\ I
.,
q_*.
*)*l r'.
.. 1 I,/\
. r'
<V
l;l
I
il \_>
\_-_
-J -'l
4--
-^n
+!-
l
I
:-g
i::_
5
0 sH
EE
rs _ 5
SQ
UA
RE
S:-
g?
gg
_ 1o
o sH
EE
rs _ 5
SQ
UA
RE
S:-
g?
2!_
2o
o sH
EE
rs _ 5
SQ
UA
RE
S3
-01
37
_ 2
OO
S
HE
ET
S _
FIL
LE
R
:J-a
.l:.
.1
*-*-
,/*,
t: \-
)' { a a
3.0
23
5_
5
0 S
HE
ET
S -
5 S
QU
AR
ES
3.0
23
6-
1O
O
SH
EE
TS
- 5
SQ
UA
RE
S3
-02
57
_2
OO
SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7
- 2
OO
S
HE
ET
S -
FIL
LE
R
CO
ME
T
tlN
\.'
I
::'r
- ,lj
j'
<:
aa
-l',
a
1
::'
\ :'
. l: I
,
Name:
California State Polytechnic University, PomonaDepartment of Electrical and Computer Engineering
ECE 320 Quiz#7
")r \^^ A. alqufr i \
Find Avr for the amplifier shown below.
g*:10 mSfd: oo
r i : 1 x 10e
VJ-\
--r-1
l''" 1
, i ,v tL ' T-=- l'''o fr l,:-'"-l '-lY I \'u' 1 tu' 1,
------r ,, I If \ ' .L-tr
'"uJ
(
AL -- vat-
'v iIt!-r*-
Lts I ly l l t , to<t
t Ioo Iltul
-' '-'t t 1^, loA t , l
' Ibv"
0, qu1
LO4-
v'
1^ Lt,t , tocrt') rv
\r , I + 16L!1, loor' t ' )^ ' toua , , 01
A' "v1 : o,gl
3.0
23
5_
50
SH
EE
TS
_
5 S
QU
AR
ES
3-0
23
6 _
lOO
SH
EE
TS
_
5 S
QU
AR
ES
?-0
23
7 _
20
0 S
HE
ET
S _
5 S
QU
AR
ES
3.0
13
7_
2O
O
SH
EE
TS
_
FIL
LE
R
I I I.-
' -.
---'\
-l
':
-L--
-
., -:
-l^-*
__.:
ll v
il
-: I i(,
L_^]
!+,
atl
v I
+=
-.-r
a i
'1 9ti
il.,
\
(..
t-A
-l
1- l_
ct
. ;.tl
--
1+
)-.
..V
lr!
I
-".-
--\
-+i
"-:"
=,
(:,
,l
(
.a'
\t
- t<
.c -:_
s .
1
-. :
i
: ::_
3-0
23
5_
5
0 S
HE
ET
S _
5 S
OU
AR
ES
3.0
23
6_
lOO
SH
EE
TS
_
5
SQ
UA
RE
S3
-O2
g7
-2
OO
SH
EE
TS
- 5
SQ
UA
RE
S3
.01
37
_
2O
O SH
EE
TS
_
FIL
LE
R
CO
ME
T
C
:-lA
P
:a'
'4L
i.
--,
I-l
I f ^T,\
|T
J -1-"
E-t
l
(,
?a
1 !.
Iv
+.-
-
\,
<-
-\I f*-^
^---
--|r
i
\Fi t\
7-\
^J
'--^
t"T
po
ao
o r-- 'r
l\
I
0
t
a\ (,.
;a 5-i
/,4 C*
6<
v
l< t-
fr
IYv
-:<
rl
*l
-CE
I>
*ll I
t i>
-E
lsn
l;
>
c
i
f.'
J F'
2
Ca
t' e,
<c
'\l
;
\v
{d
,ta a
f t 79
-'t
: '
o'
(9/
rrr
rl ,l
c
>
-P
nta
(1"
* lt
F
s-
t9<
-lF
^-G
!c
d
t.
v ^,?
rc :'- ll -
CO
ME
T3
-02
35
_ 5
0 S
HE
ET
S _
5S
QU
AR
ES
3.0
23
6_
1O
O
SH
EE
TS
_
5 S
QU
AB
ES
3-0
23
7 -2
OO
SH
EE
TS
- 5
SQ
UA
RE
S3
-01
37
_
2O
O SH
EE
TS
_
FIL
LE
R
tt c J
-i-
c
9t
'< >+
T, 5
f
-'F
- b"t
o,-
ad
e;
-t-
b et^ 2c
?*
{-<
t4 1--
C d e /
c c +
t-
-l
F^"
'\^-l
i;-
1l.
.aF
i6
]" 1 l--
t*\
i *
j?*-
l;r
Ii
-l-
-ri;
lli
4J
"+*"
AA
-+-.
..-
-J,i
L*J
-3
JP
l-
gI J.-
t t>'
i.- ll*
i<1
ta{
| ,)
_ -
..-l
qlr
/-\E
I
I;
' {.
.-l-
1
| t'
l\-/
ll:
l'z
-\t-
c) f
ir-
-_*-
--_1
i*"
"^__
l1
"1+
-"-{
;-
I ;
*r!'
1--
"--J
l
--_r
] Id-
.-->
^^-i
dl
;
s d L I
6/
dt o
ua ?
\G
r ^f
l_l
+-
r^
- l-
+-
]a
19
-F
i-
t-
lr>
I
1r
\l
\
*-*l rt
(-
bF A
' 7A
^s
)r(
a5
rci
€l
lI<
,_*n
H
iF
2il
^i/
i,1
--:Y
-l
3.0
23
5_
50
SH
EE
TS
_
5S
QU
AR
ES
3{2
36
_
lOO
SH
EE
TS
_
5
SQ
UA
RE
S3
.02
57
_
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 -
20
0 S
HE
ET
S _
FT
LL
ER
f
;ts
-.
e-
L j
o(
f 1
sc
'-F
I6
+ , U
-{<
vt
-<?
's6
?-F
j;
E J 3T
--..
.<-_
' i.
t\ fl7
"
| --
----
/I(
-,\ I
----
- f
| '--
J|*
\l-
\l/
- | \_
| .-
-I
......
.-
r-n
,i ^ /
9-+
-t;
t
t?e
I ?
-
t<
I
TP
ne
?C
A
>-
-s'
t
6,
2i
I
.F :. (f'
L 1 ?" a.,
t t d
.; !
@B
cl
o- f<-
-D,
a ,1-
i li J;
G-
L a'
Lrf
l
r}|
l9
>
,St
E;
>
r
S--
h r
g-g
?g
s_ so
sHE
Ers
_
sS
QU
AR
ES
g-g?
36
- 10
0 SH
EE
TS
_
5 S
QU
AR
ES
3^t
23
7
* 2
oo
SH
EE
TS
_
s s
ou
AR
Ea
3-0
13
7 -
2o
o S
HE
ET
S *
FT
LL
ER
oo- c
;
:l
D
^>lf
\
9s
.r)Q
aa
lL-
gL
,i!,t
r 4
€
cc
c
(- ,-i--
.-?
\-,-
j
I o
e-
I e
,
l9-I
aIt
-i6
'-i)
IA-I
I --
---/
r,
tr ii
-t-
6+
jrw
+?
il
^ d
<
F't
-lt- I
aI I I I
:l i.
\\t
t,a
/ (
t:'
'l
;i ----
-r--
-I I I< a
i.-l
{ "
l-J
-l
el*
-l
--
lr
I
-I I
ni
- 3
^,,
l
a
I o
---l
f-J
=l
al
Ft
In
l
:-g
?g
!-
50
sHE
Ers
_ 5
SQ
UA
RE
Sg
1?
gg
_ loo
sHE
Ers
_
sso
uA
RE
a2
-y3
l_-
2o
o SH
EE
TS
_
5 S
QU
AR
ES
3{1
37
_ 2
OO
S
HE
ET
S
_
FIL
LE
R
CO
ME
T
o '+
t'-3
G c>
+5 ?
-:,
(4 tn P
5
ih 4 r" J
? I
vF
r3
sia
eJ
--<
T
\r[-
\p
\.3
;.-
r
a
r1*
I I'l
G 7,
6t
]
.:
e
-)
a
{.a
\6
'F
t(
|
- l-
l
rlc
P
l>'
lr-
t-
ri'-/
+ 6e
I e j t
I t^ < .) o ,
I
I
- l-
\ q
lo
Hn
lrc
'
t
I
,
f
f,
a
.tF
l>..
\F
t--
t vf,
(
v
- J-
+-t
+ tar
I
'.a .i-->
>iF
-l-
t 7 { T
F
C5 x
CO
ME
T3
.02
35
_ s
OS
HE
ET
S
_
5S
QU
AR
ES
3-0
23
6 _
1O
O
SH
EE
TS
_
5 S
QU
AR
ES
34
23
7 _
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 _
2O
O SH
EE
TS
_
FIL
LE
R
G'- ( 1- o
Y i ; {
a s
rn / n + P ,D F,
z l+
1
PIP I
rlF
..i I
-t
\7 l
I
>1
;\J
I^_
tf I
3.
,?
e a
+-l
?-J
,P
i
?
l'=
'l(
+ '-- + 1-l
-t
,l x-\
Fr\
f -'
.--.
t
3-0
2S
s-
50
SH
EE
TS
_
sS
QU
AR
ES
3-0
23
6_
1O
O
SH
EE
TS
_
5 S
QU
AR
ES
3.0
23
7 _
2O
O SH
EE
TS
_
5 S
OU
AR
ES
3-0
13
7 _
2O
O SH
EE
TS
_
FIL
LE
R
(- t G !
rl; <
;-'t
Li
l(t
-_\
.1__
_1
^l
G/-
t2
t,
n
-tI
" lo
J
,IA
l^
\
h
-l-
&ta
.))l Ll
-i-
oI
-.--
,'* -
j-j
7l
\L
1
l
r--:
i.
) )l
i((T
ltl _
-r* i l i_ -ltl
i lt-1
't*t* I 1
_1.
o;
)\i'
( *r __l_
frr)
ir*
_ i
2 =r_
--.-
.i.-
;lt tl JI
PIJ t/ tt ,l tl ll I
) --
- -
-l-
o
li'
)l,
r-t:
i
I,r
ilt-
>l
L_
tl I
_l-_
l/) tJI J
il...
.,..{
+ii
-lL
{
t\ l\ t\ t-t t>
jl9
.li \l ,
"--
-
tr r{
,:
I trt
E)
i----
----
a-i
/-|
--'
I/ l,j il I
--
a-f
t,
II"
)_a
,,J
)l
lil
:l,
r{i
-i
1
\!-.
'J
I
--
l--
4t
s {.
-.;
Fry
lvre
l- lo'/
!x
I
3.0
23
5_
5
0 S
HE
ET
S _
5 S
QU
AR
ES
3-0
23
6 _
1O
O
SH
EE
TS
_
5 S
QU
AR
ES
3-0
23
7 _
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 _
2O
O SH
EE
TS
_
FIL
LE
R
CO
ME
T
o
5. I
.L
,o
i I
j-r l
-@i
I
{-l --
i-
-!+
N_-
_J -r=
'I
,"\) \r
'fr
;
j- , -
11;P
l:
--:
::
+_
d
rJ.t
I
-l o
) -T IJ
t
'X.
IP
's
?
rk-L
A^i
E
c
IJI
l I
f- l iIr
'
I
I
t
california state Polytechnic university' Pomona'Electricdl ana conputer Engineering Departnent
ECE 320 Homework #8
a)
1. For the circuits shown, deterrnine Vo . l,Ef fJ=In*r t*tO 1*
4)
ryrite. the
b)
+l
2. For the circuit shown,Rz
equation for Vo.
Va
Ve
\ tz\c v\{ l \ r
\ rr-"t!.\
\ 'r.-,
loK
g-9
23
5-
So
SH
EE
TS
_
s
SQ
UA
RE
S3
{23
6-
1O
O
SH
EE
TS
_
5 S
QU
AR
ES
3.0
23
7 _2
OO
SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 -
20
0 S
HE
ET
S _
FT
LL
ER
t
O 't
CO
ME
T
s--
3
n\<
4
?l _.
v t_
lS
.-
j
a^
n"t
Erl
| ,l
ov
.
:t
: s
ij, e
c;
.to
Ip
ih.-
t\
t--e
l.-
I
-!-
I
O l--
l-
*
C a'
I i_(
2;\
d
H
l'_
o!
f{ I
t-f l
c\
H
I
I q
si c./
*=-
I
s
c)
+ -- va
I
6
I r-
----
! I
I ,l
\*
\ i
i\
/ !
\/t
..*-.
\ l--
+
!
v
e,
t__' I ,F
c
CO
ME
T3
.02
35
_
50
SH
EE
TS
_
5 S
QU
AH
ES
3-0
23
6 -
10
0 SH
EE
TS
_
5 S
QU
AR
ES
3.0
23
7 _
2O
O SH
EE
TS
- 5
SQ
UA
RE
S3
-01
37
_
2O
O SH
EE
TS
_
FIL
LE
R
-i
I
V\P
-ld
-.o
, v f
-1
I
6
1
-t>
- ld
l
r{
il
IP
\\
I
c
1-
r \t \< I : ;
.4
a
3
o
.s
California State Polytechnic University, PomonaDepartment of Electrical and Computer Engineering
ECE 320 Quiz #8
Name:l "h^ A, Alq.r t i r
Find Vo for the circuit below. Ib-:Ib'Show exact solution.
+l
- l^U
vA (-
: 100nA, Vio: -lmV. DO NOT ROI-IND OFF.
toK
uo( - i ,*R. (+- ' \ , 1,"\ n l I
t " ) * i ;c ,(tr r
\ l r
t \. { - r . l ( - y: l ,\Y ' 'u I"r{t
- o,o6l V
IrDO ny
+0
t0[r
I t | +
, obl
1ro , 1gt ( rof"J _
o,ool
too. t i " f :>(* l , i * r -v
7' \ t "
3-0
23
5_
5
0 S
HE
ET
S _
5 S
QU
AR
ES
3-0
23
6_
1O
O
SH
EE
TS
_
5 S
QU
AR
ES
3.0
23
7 _
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7_
2O
O
SH
EE
TS
_
FIL
LE
R
CO
ME
T
d-3
+
.> i L:
a
r.<
e
irF
o
ll (
'l n 6l
= ,, l?
2+
;t'
ar
l'.s
a: (p
d 6
C
-ltsl-
I f
5
g
f"' ; -!
9-
C-
I
- \-
-c
'l- c - a
I
I l-
? 3 C Ct
I e 7 (-,
, a t
b r
\; -
<,
I
+ :
c
'
- -t (
= c
c I e c
C
!, lc
a
F';
" 1-3
"
\l-
r
F.'
'.c
f'
-.- 1.
.>^i
, l-
4 c
7
Cal i fornia State Polytechnic Universi ty, Pomona'
Electr icai and Computer Engineer ing Depar-Lment
ECE 320 Homework #9
Dcsion a s ino1 e staoe trans- i - i -^? --^ ' l i f ier tO meet the fOIIOWing
qnor. i f i r -at ions:
\ /o l f aoe Gain:) -100
P.r l - tarrr \ /n ' i farra: *10-Dd. L- L€ly v v: LsYv
Maximum CoI lector Current: 2 mA
Show the f inal dc schematic for your c i rcui t wi th ai l components
Iabe1ed. Show al l calculat ions, both ac and dc for your c i rcui t .
ver i fv vour resul ts wi th PSPICE
rr 61 a
(-l
t Nc
-?
3.0
23
5_
sO
SH
EE
TS
_
5
SQ
UA
RE
S3
-02
36
_
1O
O SH
EE
TS
_
5 S
QU
AR
ES
3.0
29
7 _
2O
O SH
EE
TS
_
5 S
QU
AR
ES
3-0
13
7 _
2O
O SH
EE
TS
_
FIL
LE
R
o
I
L
a / t- , -
1 a- I
1l '-'--
v - --<
i( i.:
ii ic t- \ :-
.l^ la t; ir
I t- l-€
:=4 t- l*i
-:ii li
'4 11
l:
alj
i l
I t
I t4
I e
l
- -l
J
- IY
i a
' --
t--
\ I
I F
[
=
>
iJJ
- I
l<-r
d
'J
Ii I o'
.P
rT )ql
F a
I
6
l. ; c
c c ^
6- -
€r
a 5',
^
!l
Fl
u'
j^ I
" =
ls,.
lr
el=
J
l;
t l'
'll<
il
* z
\_
e
I \o
A
=\-
-F\ I
a^ +l
ft;
ii-
^
o'O
J 9- :P -b ;6
a ,!'
JF
in 3 G
7 a
AC
a
h l-. s J q
l\
( , 1r
C
\aC
t:
i>
e1
o I
-J { 4 -7
-
John A. AlgutriaECE320
3t7 t07
HW 9:
C alifornia S tate P olyechnic University, P omonaDepartment of Electrical and Computer Engineering
ECE 320 Quiz #9
Name:1o\" A(julu
'0,
An amplifier is to be designed for use outdoors in a satellite receiving system. Which
A os fe\sl " - , ,^o,JC
' ,Lr i tL. ,
1,r( t , r r ,U, l ,q!^" i f
,
2
t?B'
9.69
cAscoDe. AlN PLI f i ET?S
Vi, *\
?crrcnaou
" , , - r l h
c'- I Jc ( (\.d l\
CRscooe
("1< " lw
'*" \ \ tv
Crr+co tT
t '^ f , , i " r^[ .^ r
( ' f . , l \u , . <.
vu.-
Pr= P-= zoo
EXAr}1PLE
U L ' r ,
<rto ! c_
12.Ll
I t o1'<^ '1 K l f d\ !e
CASCODE CoN FlG^UP-An0(J * Ex,q rnptG t?.rl
p=zoo
R6. r 06s
%14,* Rer
Re^g
lb,r l?6, n t2as
)= ''(-H#) =,1[';:,1<
Qz-
t&,
Qr
tP,ast
q.7r
4.7K=18 =
l?, l K
z\
t8 ( .?7, tss )
I .9r17 3 , t=-
) v"" -,-Y t Q=zat :. &.*Ir. -.'
)l*. i__=-.-=ri., I--1
to' i p:zoo ,, rc,*Te, \
I l * ,J
r." 2 &,,
B
IBl .8L + t . l l .
tg- z.ag
JFr eZ
6,zoamA
._u^el-{e.Vg" - VBr.-
rer = r..
r*rt
Re
= 19.o?^eA<
( l - Vr ^ 29.8r" ,Vl l *B{B
,L 1-b-\- l " \F*t J
fii',
4.1 - o.1t . tk
g.L =Z.gtgHA
l. lE =-z_
Ar Taoory\ TErr PEG*NrLE
6; 2Z'S-Z'*-V =l ,3SrtH_"z l1.O1aft =,
Q.,= t ' , = l '3srqr- , = b,Lz- F*t zc,t
=
T T' 'l-
- - =e- =L=bhhIr \
vo
h, =G, BEcA$sE E,--IL,
4.. - Ya-'Qr - Vir
-bF*t
=Q,
&.P
[o,= (F*Dfe'
c.
Au*. %=vdr
- io p r<.- -pR= =_ frz
gg=-qL
l3R. Rc-=r_
(5 fe- fe =I - -
rn*pre = #-= /1.- l .7 3
?z_
- L'b "**
/
t4urr = Aq . An" = C'X26?.23): -ry3>
F-v -rL
l "
Dl RECT- cot)PLED A/nPLl Fl e{e €xn rv{ Pt-E
Q ruErJ THE Fout-o(^lt$Gr ctf+cutT' CorJ trt 6URftnoA)
Vcc.
Rae
Qz-
Rea
orJTPof **
R=,
. t r rr . tD RBerR"r, Rer , Rc., Rr, , Q, )AND Q" TD ^
eEr Tr lE
Fouuotrr r r$Gr gpEct FTCAT?oNS i
Av> toZ' ) lK
T-o be>tcr\t A T'l,t-r6- Snq6€ DrfeECT-- cotJP(ED AfiPtJtr(EfL Tb
-t+AvE A fufrtt,s OF tnouE T!+np lO., LET. Tt+E Gnil oF sl7.6E L
BE rn]c.H' GtzEArW? TH,+ro Tne 6*tN Otr SfzsE A.
f trz A tr tBsr f tPPr?o{tm*T7oD , LET Au, c lo, 4vT = Io ( io) =lro
Dgst6^rl^)& T}|E clc,CutT &N Nou BretN ,+s F'ocJ-ows!
lF Pvr = h = . loo r THEd R*, , .= loo BEr
' il<Er
Ltrnt- l ( r \ t =9V Anro lc*,^v- ZmA G\UES
R +- R.- :. 9 u . = 4, fK'.rr-'cr , ' *eL Znft
. -J '
too Re, = t o o (+t, 5:s) = 414 55 -rz-
Sot-Vtr:a THE tu)o E}euAno^J=
R.,- lOoF{sr=o \-Rc,+ Re,=4siro /
AruD Rq-=
Nau.r. Loo4t Lt & 4r z; Lre ser wor _ :
Z t \ tK <- FsouraED spg< r Ftc*Dal)
=ir= or, ll ("" + (r+r) R+
r R*, |f FRe, :3o ) Foq 7tr Ta B * GEERTETT Tlrn,r.r 1. Kr:, mEfl^ls Tltr+T
Rs A*s.o PR. rnusr B?nr BE,'. FR=, >i zg, *., p 7 % = +Li,? (l=^i: ForJuD rlrrsI -Er ) r #f,ss " - or+ .ro
E;....
sE, 11+F.*:rLetroeE) LJBeD A T?ZnrJs t=tvtz trrrrH THE frtl;oustu&
Spgcl FLcAn Ord S
V"*F?v (eee*roood yocrnee)
r.-** \ znA
LpoKrNcr r i l r } tE , - r , f= ' ;* : : .= pAn+ BooKs hrE t t , tL,LFr,uo
Tpgr Iv\ET TPANST sroe. s Cgsr wee) rx I rJ.- rrroraK . u-erts ,cH. jE
THe rv\osr PoPu'uRr€- orlE r T}tE Z$re|uA. OBThrrJ&}&Ar.J OUr?Or
FArvrtcv oF coeUES (V.* us E.), dE Frlro TltAr Tlre ynuytmutt
vourA6e Shlr A) G- cnrrj BF' I\to q{FJfrrE/.L T.+AN ? vot_n , E0 sErn
TltE 'b" pu,ur AT 1A= *'9 ,t Ailo fc-e I n A 6tues \4 ' lo-,
EEF Fte r.re-e 2. NO(r), Ft lJDf ,rlc- ftBr 1rJternruc T11F KVL l-rrEQUAnol.) 6'rue g
sE= .Fr6 i- .
|l*
V.c - .I*,R", Vee - Vg =os"/
Rgr =t^ f r I r FV
-- \ r -
- l ,
-DZ--Ut<L-U>
_- Vc<- - VsF, - Esr (.p"') R=,
hr* efls
DR f,Br ( Fo r) Rsr
Tl+er.l
vb -. +q 1{ Er
t
Ro= 1- o,? - ( ro- fXroo t r ) (++,ss)
Ruon+eq ftpepon€H fs _
l
.= Bza K-sa-
lF Qq= l ruf t AND -trpt leeT*BL) VE- = f,o Rr = I rtr+ (+v,ss.) = ttl,ss: nrvAND' Vg=%e+ye =O.J *A,o++5;5.x O,7t !?ot \ [cc-VB= 1^o,?r l= g,?6V., ! , g.zeov
Dnoppeo r4rceoes fie .r THl,s p,,fy.ni*t G{vEs g,.6rr-7[t4*
**
rv, usr- BE
Tl+F Ft,?Sf srrFFGF lSsBconJD atv6g
frND vu" = L{'sf rlF WE DEcrDr T?l r rsEHras;f stZtg (rrg A&*txt
Vt=9 ' '
lF Ec.g * E*., r @ Ycg =
.Axlo %= v.€-4.^. ,= q:
.Noril 6npLETE:
) .Ler ts. tno+l€ or" To TH+.
( t re)(++_r-)= 'H,r ls.s, vocr=?,!8 = 4,s-g V
Vgz-- ./,sg -'o,-J = 3,gs ,t.
S*rttE TtZA^Jsrsr?€ AS lil TT,IE
. ,a.
?-rs6Fr
.r_c.g =
%,
h.n4*F>7 m A
LAND,F
= 3, tS,E
lnf t , R.+[Zes c! . f td
Xee=lou4 ) P=loa
= Ir , , .a)R=" =
r>nEz ts
\b-+ rEzu Qzp
9oBS v
Imh
JLjAt, l r a+\-, -vw J
Lf t >
lt 'qPEOA,rtc€
TltEr.) R-_= {Soo - BgSo = 6.53 -e_z
CHECK T?) SEE, t}JHAr VRLUeS Forr .6nro A,uDUJE ATCT1JTLLY SEE Il-) T}TES C{RCU1Y
l4e-*r* l
&rt
. H,tug\D -tr l\AODEL
T..*-c.mtrE
2 n4,
l;rA
6,trc-oqe =f = +oo
i
I
l+,.5/r .+ v44= Vcgrrr+r
aA't - -"Lt a
Rcbl
Av- =- RLt. =- %- - =- Gslo' 'L ' q=-q; ;= #e==-o,r7
Avr= Ar, ' Ay' , = 16,, to
r l ''71,2 f ier l l ( F) Re, = Bz6K l l Qoo)+{,ss' I l l
= 4, i l8{ F-
Ft6i ura^e ?_ Fe mtLv o F C(]AVE€
- p.r l[ eer,- r l ,
_- r+r+ss ll Cr""Xsaso )R=, =l ?F,trts
:P'AVE F\ET- aLr
- 'F 6e^,rraFaTILL OF TLTE RE4 O I eED 6pEt: |,R cr+I?0ruSLrJe
af 4,ss
O."^^a,^ f-*o-"tf-ee re fu
cF+
a""?&r/-t* a;4 j^re f* -/**t*^*-.-
e'utztat-t. *,a.E*.i
:
d^+..,^t J-J* 3&^, @ A ca,,Fv 1z 4k-^J,eI-* tAt
v<4
-
il; -?;+r-u;E ztzz-6' i/-
u)a- Ed--t+rtufr .6-..r{)-14- Flt; *f**rt; Ht *' a--<-e* fi.*m
rt^w ga-<^-'sfui*a -a--**J -fr-rn
4a, fr.* a-,^2 Rs
/*t d*- /fs;4L;-^-TL/* H- (ftlte-?- ?-; j'1.4,,.^4-t- A* *#.
: r^i*X- *-'3 -Btf.-- etuf - '
'tru - --
A.--Rc-/1l1 -' Re'
g{ \r'e- +-E1,rrr-- 14", Av U-a;i -il- Efi**E -* -*"nfiLe-.f ,tW"**
lO -- -Ia (34"- ?1*;rr< e,-i..i.,, L4 tyr. FJ+-+ M-|--,t
a-,"4 ;- d4*?+rJ 4* -f,4as ,-fr6;* )
R<r
lO: *_ Ro=tOREr\E
/J.-- L,',/('*- u"-"*^,-Co-- c--'^J a,a- aH+ .fa +rc** A" cJ;aA,eAr-L A
*
+a*n - fr-'-^* "t t o , -fl*- e darfr;w ,X * t>.ypr--A oarL^raa
H* e-+r;t1:-* ";ti
-,"4t cA"-.n-.p H'g+ d.t A<aai--Z , -L,,.X ^;U U+-u.^€a..l
fA-\ 4.c #^- M, Rc= lOqE -+ Rc^ tORs =o
Rc+ R.e =t{ .*rO
b)c- +;-,^J tfl--.t RE = {o?.*- e.4 A R.. n Rg = t(og | -r-- + L{og _sz_-
7r*a* 4>e- ca-.+) aLt fl-- -q pc*--* . -8"^-t ,, zkful.-,u:<- -4-Ei-ILe
Q R-*-- * ;rt wi,tJ b- rtc-c-il+* a^*+ .Ib,&e-Aeifr".s- ^u+ti-a&{,. frc-a-,*a-;Atbu
V.r*..o-,.( q uoLTs, I** { TrYrA
db ; G4zf'^, fu ?7,4r-t &<.w, 4-f-a--c-/-{-u;e*urr.4 n* 4 V ,,.t*,,e- l+ard cufia^i*
j^td'l' h,e 7 ax a---J hfe. > S #-<+r+. a- z+",a--r^.<-/a-*ft-e+*a* d,^-t&
"{",*l<-it* Aar.6,trfi.o-r a, P.trzzzzf+ -P'a^ hte-A?* I*r*;*--) G4. t\fua /CIa
{%*^i } . A Auzz-zzft* J4 e L4e}"1f {^"+ry fe-t;.@ -fu*s,aia*aw -d-."*! A**
$.*n* = ba ,s a^4, f.o-o-o.A4 = {CC r","-A . U d*; y,-ettU cL -e4cs-at-E ^4- t-r e -f ,
'i-WJ*.-4-r"4 4e-!e-4-t} a--?vd i4-4ee. ;E juaLuAA- *-uz-z--*.
i*-*u -*1-
5s 'hou
rt"1t-l I.5g-=--E----
A4
X.4r,1 +AhA
b ss-'.fio't.
sr.lan o'g = 5,0 -5.9
d2 -owm'
r1+- -r-.'rf
+-tgut
> r?'L(TV?n
h\w oe = (, b) y w bqz'z
gwle?,z =twJ (
vwbqz't
>{h€'5f =(ss'hoz) -SL= ^'Y']il
v44
!* !T*,*+ ryT p trq ?1ry
lAwzh.tt =(^5) UnLqZ,t =t-b]J
= )tvu.n .tt-tv3 =d = 39v-tf,vC4b
t L+r LqZ,e + A* T : -uof, J
JV ' SL= ajYsc'o = lV
---'f; j]J|=--goF'T :' F5-F-._-36 - -tn-: -=rr
hb'h = (t ,bo'hX.-ar x bb'o) - 5- = -2)J-rg"- ?Di =* >n
awobb,e =-ffi= + - -T = =a
_goh,Q = L,A- -Sot'l = 3€n -€6 = 3n
7to€l' b + 151',: LE RrY + 'tY ?.-Sot'i =(f)G: --nff=u{l
: *.-rg 7#n W W ffzl
-,.'--l-J ":*1 rc L-.-rd*-f 4 ryffi\qd,u, -g
b '{Ta d*^{ c'r-o?{' 'a6t}
5l-?l'9t-,* :d>[ :. (a uoz/ 'h) 5?r '() - 7 b.oal' h
{ea
(-ta *
----' --{tt'o
==4 €? t'o - tt6
tgr,)rtzt' o) = ?9tl
aJ h.b-z =
tRl
II
J
?n
PEA
rc
l - ( i *
Q poror
L I rr E:Aq V<€
S-nA
rg--o
t rl Vcs
dc- Loo..A Ltne.
1 V.eU = !{.- -<'rt-,+-AA O-;rr4 r'cLa ?Ls1L,.. ry
Qq = l ' "A. - { -J. .
*a)h. t - , ?. ^ atr-hfe =;F- =(oO
a-B
!- rvr A (d"d + tttu cAt-rv\&4* ,1 d*. a.^+.r* W ),
hfe =- {oo ,R.= L+ooo ("-W *oqr) , R e = go1
H*- fu a,f e.e*t .--7a,8- *"JL o-5 z*--.r,".*rt^-t" ditr
/t4,r-r*. ry d-.1'a'T/*.1-
.ri H& fr-aa;,*-hL
a-4^4 13 =_ lao + _(r + F) R€ = {tot }yoZ = gl.%1 R
-d* #4r-r;1e ,; ,/ t.Solx , Fr.. tuu<r .+< !.tEajz dn; ,o
Qg = I m'9 , V.no =?.5,
f R. o-.U Rt +r^**
O---Y\-A--
4/-;,'*4
a-{*3
ee/-
(o rz-rzecno *l 6FFsEIID4L
Vo= (v* -va) Avoa
( Vro ) Auoc t | ' ' , , " .Es=aq#r,;re=ro ttffi'')
l l f+ \ rJYJ,"{tg\ = 4 ,v-
t : I I n, .L+ / 'ttftr
50, 4 nlz , Ee ? to nh , AND Ia! lz .EfA tA!4^,
t- (n fiPrc*L v*urle )J
V= l , (zs.s, , , rv) !^ (HJ = o. '7oot1z=6 uoLTS
@ *d n"Z, IB=lorrA, ANo Co= tZ.SoolboZPf+
Ln+e Aotrrna$ dF L etE.,c;rmo/',
V: a(25,3n+v] Lr-(ry \- \ l?,eoofEff i )
= o 'Joot4l ' I I oocr:
:, AV * ;1oo lLl?-;3U- . l " r lqt- t t
. ,
LgBl B -taV
30) Vio = aV Avo,-
6Alt-l Avou- Ay
= | ,88 r3-,uv (roo r)
= le 'e '13 rr+V
-/HnLF F[uiEB Foll.lf
-/- 3CB
-- - Au.u--+ At''.
Erccess GRITU
LooP
t-oo?
tsArsgr^1trn-t
FeeQ
GAIU
+Lr , r ,+ l -Tv
VA
- i t{Q,".
vo--){t
Vz.
t1{t
\tsHULL - |
.+v - oreEt NcJr_L
uo = vo (- k) + f;Rr + v* (H.-,) :t o" (F +r\ '%.W Y,^ H #,H
Uco , = tt*
u uuED I
LLS I f.Je THE NU uu POIEAJTIO nn gf€*':
R * = Rri\ Bu R'. -- | uPUr RF:sr sto R.Rp = reeDe4a< REsisfoE
t r f4c = (orrt tcEryisftntrN R€Snierc
}DEAL
- Vo = - cr Rr 1 A=urnf NG v,f Y"! , lF i f =o t*e,-J +=i l r*
Vo = - Cp RF -- - ii Ro -=€r Uo =-v; ( nr) = -U* ( H)
=tFt\
Uo -BeuLi. Rd
-Vo=1,( f i r tR;) |n='orntNGV,*V'At. lDi f ,=o, i [=6
56, Vo = ip (er+ Rd ) *r l+ =i i ; Ha ** (no+ni \ =uh / f ie+Rr \
R.-. - t \ - ; - /
H-=ftS)=ft+l)C-o II'\PeN.SAT.1 OL\
l r * i [n*= Lf
c- d Rc-=FF=Rc Re \ ...iF=t l ) k,* l
Re' I;fiu=r 6R Re=R
(n/^JNF€T?aNs w,{.tc/.+ ADDre+-DBdr/(,;
NorJ FqR oruffi_J_aenmxErZS - __
- le- THF FEgsT?+rrJG Si{ouLp lr$cR-EArsE, Tr+Eil mutn-pl{-tsj-Ql4
I!--TIte REEtsn+rUcE sr.*ouLp DkaeAsE,*Trred_brvr_ue-e_y_G.PAl
ve
ct(Jt-AtJ T.
1\ fe- l \2 lT
Cuftn-.E*ta fuOg,
, . . . - ,F eE--
4 l pCu{i 't{
? g,J ;ufi;?# *Fr;"1:t-JdG,ct
I\+sf 'Jf #I4'ouTi=ur
iRri
t l?uf +la4tF. i - tJt i
o*6:tJf4\R.atJ lT
Vc.
-1, llJ\tGut
clF4u tT
,'ff0"
l " Vo,-Get- =*ta1ueli ) facrae F FEI=oE*'
lf.rt'rf
Pp'€*t t-Et
0aq
CUR-f,=Pr' 1Atf lPLlf l&
rlou{?r€F €*ete$ll
lr.rtuT <t1;+ euml:r. \ ,
I
k\1
Rr^ l r f
I t \ar \ rF
Clf<.rrtT
vo
RL
Yr
{-"*,PSEAT ?
* t"Lto.a = As?rpd U '$f,
eu€*SJ1 frgogr}ta
Se(qt€ =*Q!L'eq)
fr"nsu.s'-
t
'ffr"\
r r i" 1o'
1*.rAlI-#1* sr"rf?rt
f f- i , -
_
.ar (Re)Cnr. .
- Re, ' Rq // (g'" IlllgqnEs=
E.ltqJr",)fre, I hft r'
+ex[(aor +Ls + '&'il'"ll,g \l ' ro ' , r " ' J '
::=-
4-. -hs
\hfis /
7.lf oarr. lT- sttf'ut} 8E A.tatEb l?rf,r .sra6e .2 n* Nor fiav. ArN lut,,,uFrrcE orJ .?rE .,,uJ alWoENs16. ec, wl
. : Ir rftE coolc1116 cttp$ctmt ,s ltLso t"tE C5. Fasre6E Z B.or ttb FrlEpue,uc_f EFFe.f uft .DsE
. By THE RAtx,r5,s aF Tz,E . lrr s?+r,a.. {. s*,. '-'+ 2o Fos C.'.
. _nq€rn,op"rro)+ , -&'n: R,
ti.= t.uflti,e *. I:or.R
h"', . a.zFllt.o6ts: ?os-n-
4or.-s}=[-El .A"*{raro-earu,o). - *F fr;. -l;(*.,11Au = -lg3 ' \ l-i
'z l ,osp(t t t r )z l ' - lo7 J
Av; = ltLI -67
c1,= cp I Cc.*r C^t
e%= (t t le/)e, = ( t++.s:a).=o,o- ' '=
. c i : f lpf + sopf + t lospf s. 6E.o pf
' t"r 4i*u "llr*. fl ft, . g.EgK lln"' Rg= o .'. .Frut = O
l;ii,$iili i l
ii$iifi;liiIi.iiiI
t tz.,l R .
vl ,
arrFE-= E;ry5:r'IP wE t€5lrrrtE'nr*rX4r'7s ;.hnadg lGr)D wlle .W,
g dtuurdat, .d' fr'tl cr;.M i-rf,-r;.ta fa iA i)r,o, *a+A"t'+tilft;- od ilS ZISE.
tl drEarft;^' fu V #t
.ya. t* afr<nLq f i tzra (6.sqnE) ' - a
-U-O;-"Iafu 74., -tn;A*a.a,.e EdhA- ?-;* a-J*^ILa-4esl4, ,Lr*J" of 4r* Uft u=a.i<n
ffi (-c1F4t)
7.{ twr.
f . ,
4*a.arr (nqt R )c"
I
err (&,tFrr)1,"rSE
.. rt..H:.e-.Drr llll| fDnilc|ttD:,3
,., AEqrmldCF THRr Eoril TEnNIlTSIDps. FRE rDEDn(*L.(amF-hBstflrr?[reN flrotrE E[}| ]GBrlr FIIE .tparrnccc)
- TftBr!hic.,= hiea = l.iBK
l?.r. ru/l,r*' Iunt-sEx-= t.318K g't,sur
l{ i.= ;1rorrs ____AESa}ILU_6_JF3 A g_
,fr.f - arr.6Lzl.r t.Ur!.)Zr.F
, ,ft'Gd e]ffl
.f$umr$e fi*r fiElr tRE:rb|- tDErunctc(a(sc & Fef|q. &fq|flpTroro FF4fdSF fttE'i', ffi6 gttts.
. awwtJ'fl"'')Ets; 't"lvft . o;E.? = Er.Btttt
Eco Brg- €,qg., i ' i l
f r " &.*Q. ?, ' lF lSnAQ= 3!#- rc.g?
.. .rE
)c'
E
t .
4.3 uar.f5,
t i t 'nr*
E: 13,9O st
TI|ED
l3
;' i I 'Fl i , I
:.i i; Ii:Ilit' i i ' I
'.i|:I: i i l l
*l,lti
;ililriiir' t l ' f ii i l ' I::ii
J,?( slfl- ra-D-EeuJ- THE, ..Bo.EE--.RAor .a.p DrE--.€&)nfi MPuft€& gmrorSg
: . -UJrr reRE-.Ar.uFAsr -A. &- eFtE -Lcr- ffi& - i i
| *FR hl t - oo I rH€Islore=qoafw,
s*,,HPF
. l-Fl=I
ff
e", # R"-
$,_*
\-\P1:I Iirir liti.li ; l
*l*{
LPf:V-
nptT'4-
g,, -\4{irL==
-[9+
/*,lt"T
Hf l:'Ft
A Hr:'trCe
*.-*\\- , , I
? R.:\ - "
t'aT
{u#n'-i* r*
I+I
t-IFtr
Lpp
tL Af,tr
\ \
\ \*__
. "l- --+ t'
Mrr
. l
, : '*--*O l
. f\PF
V.c
,/)lLc
c,<- voReL
'-"HtI
@L
f rI
I
Lqrrr) trfLeQU Enlcf REsPoos€
c.b-zt (e=+ n;) c=
zs (n" " RL) Cs
S." =zf i RJce
F\ lGt+ F'aeQ\) en-)cY ra"eSPO r$5€
R; = Ru,\ \Ru.-\lG* rp*,)P-)
.tLC-
P"'
( -Lr . .r', L zfr Rr,
" i
(r' n (p")Re)
+ Ca"* ( t-n',!
\
2n R;c"
c*ot ( r -
Crv'o
) '*J-Ay
Rr'= R"ll\-ri- + (ff*,\\fZ*,1[Gt
el = R=\[R, l l r"\\ e I Ri =
Ci =ar i *Cu*rCrrci = C- i
Rl= R"l IR,- l [ (%
Co= C.^lu* C.e
.Ll l to:
5€L€cnPG I, =lnnA
rH€*.) t*=?=*= 4,*A
RB=
fg=
Vcc- Vgeqts
25.*ntV1,uh
13p,'t - -- rrf
= LL - z,zzgafu*
= 6.45' , K
-zlo ( s*)' 6,r+SL
t4-r-
Av=-L
l ,2S F(o- _ t tf f i?=-te?,s
An=. \
-zao.!f,Es9)- = -too6,r+5K
Qzon'Ar=-F#." = - too
=- i1 ,72
Au[LEnAJc- Voularee Ga r,,.:
b) ex,ncr DESt6r0 CASE Q.l.ftmPLE - Flro p
SEITI ru e Av =- too
so - FS= -too
I r
FR" = loo rrT eNo F =
t
p : ,oz r'r.
C'.= )h- = !-F'fr'^'/rr r€ f,g
lF EB ! S 9er€crEtr To BE
'Eg -- to.;.t A THe,$ C6 = ?..S9ts
AND F= 'oz(z 'sae), ,= Sl ,6
lEg = S.uA r1ra.r
ns: W=.s,rb<
p= .oz(5. lbta) = 163,2.' At'tQ
set-ecD uu P = (oz,z lftJot,se rHryr Exrq rrnar..,ls,etuRl
Gt ves
ft. = 5K (nrt: HAS r$o1. cHArJ6@ Fr;aly. fue rresr\\ q-lxArnPLe ,/
Re* W= #= t '8614--
loOq1 - f6o C6--
Rc, €K
fzaN+ z.s?R
F= too
\7!
Av.Jp* = -1g:z (#- = ^ Z-6,R.: -/oo' ' fb --E:r6F- - s. ,6K - +
*5-esre r*l eY.AtvtPLE l* J.
=peias Av ) - too
AsP -to
SoLrl Tl o O
BnrreaY vor5P6g =BAi-{'EAY CUAAeNT- =
OpEA4Q p6 lErvtP =
c HEAp ['\*t \
t,t>qQutc-r.
vi _{
\ovZrafr !hr+r.SooK .{i..>r-: r'-. -[ "
\
lol5c-
\tb
Av=
A"=
Yg = -FR:Yd n'T . '
.,'
A=-F#F."= RellCn
Ro = R.llQ
a) brcesTl cAFE efAMpf-S -rreoasT'c+ei9 F :{0t)
* t(."*'*) r lnaa
' l ' I
" ' : '
o- _ Vc<.-VtEE Io - o.?<g=-=-:
f€ loth
A.r= *FR* = -I""_(sp). = _lg3,g'
-r fn Z,53la €
{ r ="i#-- ".sEK
Jqtofi
= i:el(
SEt*ecn r\9G. I., = | f**,.-
trrof,,€f- Ct-eE p -- 'rca
... Ets= +; E_PI"o
-- lo2^A
59 IB = V.cc-* VBE =)" Rei
cH€APFf, &Stef,.T r'QrJ, q4,eq e I R,c.JtT
'. .: TO m9er sPEcs
v0
idvpcrr ctt l€ut7- - €.uRRerui- l i i l loelz
ouT.
T =1o-
B,L
I.= !t
-vo +* l ,_L Rc
/@\\ Rc-Rc l
= b. /R..-R"-)Rr- \ R.- /
o* (q-il)
*: = u, (i-h-)
r. = v" (8.-+1. )kT'-=a- /Fu+F , \*c-- '_\-
R<. l
AuD .a ' -T Gg:-
- Hu* t(c.
Gnru - "uTeur brv'DeD BY t Ntr
-T Rt ' 2
F
fo =E' = Lc- fl = *8F Rr-tt2c
tr i = ro (R*1c".)Ret
riEPfu, = F.fu..fuLOF-
f ' . Ib / Rri +Ru \\-fao- I
c\ R(u ff {3(,jTFuT. Lo€tr,41 t^.]AEbS
'NTPQT
Ri=far (F. , )ReEe= Ig*Sr
!"= P tt'r Ie= (prr)I6 (P (F* ' )#+,) IrL =,Rc
[,r+ ( p-rr) Rg
*E-
OR
V;rE
TT+E6ot
l$
LooKl rrJG Fea(^
I Npof 6rvESyo
r-tI
R.
A$lO
Ro= R.ll#,
trJr TL+Vr[ =oGrues
{ro--|_--r
I [" 'f ?on fF 'pl l' : \O++
tu!'+ l
6 g+t) Re
frr' .* Reto'
.,UrP.Jr BACK
V;
"T *ReP*'
r/p+')
TOUJA(A.D 3
Dea,u +n o f\l otr €trtrrctg{-tcY Fla-
I . SEie.\E=-tr=D <o,\ i FL6'. l |e.AfioNl
- r / {<-L," b€. <-Sera\E= -FEs{ l 'u l . - t ' {o
CLt+g /+ frivlPt-t F-l F,e-S
I t t
r l
a.€ cer
= VprPz
1 *rFC-l iFrE ALJEtr.?*+drE por4 €r? (a.) ro T'l+E o LSTp{-lT €lR-Cu tT- NE
P= tr V ) sP€€tFtc*tLf: Pd,o= I..V.a
b) fiAq EprecTrva Fourq"- (rms) DEL\uereeD ra Frt€ LoAD is
P=T:V h,-r Vu**=FrI**==F
c) ereia-re*rcY t=- "j*H: E* - Y+ = r_ t vr r* Jn= E p4" - E4vcc- zLffiS
?I faYlrt -q* , Vr*n= LP
F
Tr^* -I'm,.crz
r t . l
V^ = vnaAts-Vrrr l r3t -
1-.
VP
!z
TH tg
.tc-
EqclAnrol*) cnru) At-so BE ExPG-es5lED As F'LL ows
-t
rn 21.q lnf.(/irIrG
nAA
d \ Ff?o n^. Tli t9 LA3T-
tF VftuP = O
Vn'u+r = .t'ec
EQUAT]DEJ WE sEE THAT
' [:. Zs?s e Ttits tS THE mA]sfl unEFFrc I erJcY FA A3Erate= FED <riacurT-
#
rdo to!t\ |I \i.-
a--
California State polytechnic University, pomonaDepartnent of Electrical and ComputerEngineering
ECE 320 Midterm Exam
il 1- Draw the hybrid-n small-signal ac model for the circuit shoranr below. Label allcomponents.
Y. p= zrof1' : loo
-v g: g'ooK-
,t 2'+'|c
\l 3. Find Ai for the amplifier shown below.
Find Av for the arnplifier shown below. show e4lrct sol*tion. Do not ro'nd off!f-----f.-+tt
Vs3= a.J pz t?€r l1' =?9.8tnt l
Vp:8ao
I l=oO p=z-eo
[p: too
'\J 4- Find the i'put and output resistarrces for the circuit shown below.
Vo ?= Snn
t.r.tr!5.'
9;
$rr3o.ol
" F. Determine the current in the road for the circuit shown below.J(
-f.loRa' ,TLC2
f ,= lrAEo= lo7.?b*A
Et zg.Br,nV1
Vg": O.?
r. = -L"-:-Li' rL
s;
For the configuration sho$n belou'. finishtlie design to meel ihe fbllou,ing
V4: o
V€e; roVg": o,?V1 : 25 'BaV
Ta^^, ^ 2*4
! .e = l .A
TF,q -
2-A
AY=-l f
% =oo
For the configuralion shoq,n belorv. finish the design Io meet dre foliowingspecificarions:
6Rc7. Re8. Rb
Vpg^+19
v^ f tnn: o 'o\
- A t -
HV: - l5
Vp= -3Ip95: lOnA
rDq = \ ' t 'A9. Rdi0. Rs
[,urrri.!*"''. ,s,'ll>
It vx
Vr. - V,r( t f - o.'-) -_ l.{- ",
%F(l t t )k zap rh4i.'") 316pfz. 3 tt
= lzf * 7,(^
7.V'",i
- tzr(a ) - - 8.7f/(
'b(/rr t )& ) 46q.rzt(ne[5J 1. y8 qE(
.Kt
V -- o,6v
tlnn - I uts
,a
v-1
{0bR.
tr,. A
r{priJt,
to
nVT f l^S =r/4(,, T'vD
_-_---.-_--f
I
I
il
t_-
l --T--I
J
l
]
__L
I
a )o'z - )oz
*4*n=1J-"-1
od r9n
\ .'. i f l
i iLr '1 [
I i.ts/ I\ \ { ' / r\ . f
.*-*"t
;'t- lr+ *:,.1,r
L .__ _1.* ,
I,.{; . irt-,
.,"f
l_ _ ' , /i | " !r i
:1 ' ; . . l i
: {i
\r.l
'n \ t .' lr'\
l id l
t-
{1)i , i l
I
'/
._ i / ; .
i i . .\*-{'
II A t , i . ,, . \ '
\J.
\.;, . !.j, ;-, i ;
-r . 'L7
!a I
\2 ii - r, I
. r l -
I
-, ,i t.
\ { ,1
{
-.'i
.-
-.
-.-
- .,
-t
:
i--
--"r
.j
,-l
^<j-
,.-_
^..
_
l--,
*_,
i _
,r
.
'.'.
-.
-.'\
t.- __
, -:
_F
- "-
...
'*.i
i-.
:-4'
l-'t
-
a I
iiI
I;.
1,.
I :. t:
t.-
l :-
't\
- -
l-'-
.:*,
.1*
| 1
/'
I ---.
,*i
:l!
4
*.r
'*-q
j
a; /.il
i
i .'i':,1 t ,,':
,,4
';,/.,' '""','
'-..j' '*-ti''_ , t.r\
t"' 'i ,', 'J lt'",i::;l
,.],7
/r')'.!f
t_--f
rll
nl{l''
ll
i
i
I
i --
/-!.!';'7trtf,'
i /-,
.l 'r; ,'
]: r,l
i' J 'j-
r'l l1.Y t'
J
,,f '/
J
ilz' .t:/
i 1r i ' i ,,'t ,f ':,y'r'
l ' 'i'l
il ,-,, / ,,, irl
IY
it "
f' "l
i:t {,, 1. 1-' , I ',,,- -_ , .r, ,i"
ntJ ./' 'tt,4
A
Llilg
'lr i't
9,,
.- a/'
i7 -.. ".'
'- t '1:l
".,i
,,i/
,:l
, ,J I
'it
lJ "r" ,-
LJ I-l{ F{l.,1
,',
il
l-
r i i--ii\:
"l '"1 r -l-J
tJ / -+f
,. .:.i i,l:','/
1r;.,. . ,it
'- i',.1 ''ll
r,Jff .\J
,lII
l,'l
I-T. I
,ll- i
jl- i',i !r,.ii
-:_ , I i
't-I
'-1
1
l=%
I tt t / t3 lo4
Ir ,_,1+
!p - ' $pgl
f :: I l){7rVi t 2t" t ,^Y
lgu ' - o.? V
{- r= F tJg,o
i - o.- l
2 5.8 n"V
-r6 - ln ' l{, / A
[]r
ln
f ool< + (rr ' r ) ( Po)
I "Z(, K
\1, . loo'r , ? -----F = 2q? l<
n
J c rl ./ '0'l bv la
"\J(c.
\ gt -' o"?
f , , i 2 ' lYrr ' 1Sl0Yor- F
{L-T----:- *e r 1--i ^^;**t *r?r,. 'i,'r" t' ,0 1* 1.*4 ,.r L- -I" 1-*-)
AI:
lr*V., - ,u,p Rr. Ail. 1lt't iYL - | - . - 1"" . - t l . l_-- / l ; '1Lo5tUl h rn- f q t, iss'1 )Au.
?rOOK-
, , / , t /" r, l t
{ o'* u"
I i r . iSE
V*' o-7
I
e-3{ ,"L-I
I Qs, i l l rB, t r ' r r*Lb
7' r", ll ( sz
o, (*toj = zo(o +t,,)
r lt1 tA ll1l y_
- t / ,
L ' -
F-t !4 l l l {1 ' 4 ' :s 'e
LL
= - '1"(y
V.
Jf-"-I,1,
I
+ i .vf, \ -
f tL
/ll r : , : "
_l*
rl )
--44-----J
lcn r
fr lt-
rV toot
l "qQ'lI
{r0L
aoz
(,X' aTr/
- i'
L - \ l, t-'\t
|+--' ..-lV *-oeTVIOl,4
l'' '''' "
,a'\, ,.'T)\.t./ ,, -. ,/
no7 .')
z =u
V'i . TA L'o -- t3ft
A-l-\['Lh
"'(
- lA- -J\
=ol
) -rl
s l:^ ) A" ) t
*"1lo+J *'t,("[,
( Vl,l. ;yt )oo( "1 el / = 'T- V - t\l'Lt
=',, /
1 -1- cot t td- t frr
vt c'srt " :n;;i; -{ '"t
111 ;1r
ytr!.?-i': ;-i -L
N 7.0 -_oN
V{6 i . .,.,,
A11
+l €t "f ir('l
'i"
-9r*o tV..----- .> 1r-
0+'" l i,vts
lc =6L
, , f ,slx,1,
f , ,&f"n iuu] ( . . i rc,. i l ' r
f l ; . , la,7e- o' ]1. f
= saa
f ''' lry
T, * ' Ie: l^A
!/s = Io k= ( ua)(t r)= { v
Vg. VE aVea ' (+a-J, ' ( -V V
V*r., . J Vr..
r r \1,g, L.^] ViQ,<-+-:
Vr ' f fl . ,or ' . A
Fo-\1 -- \ l - -+v$' . . ( (
(g, , (g,
to,{r-
Lff-
=53Ktg, = !L\1J: l \r*/ i_ Vs )
v,'
t r r\J l
I # '
5Fe
, \/ \. l 1
t*{F"}_ . t - -
- ,
, ls,llQ,,. + lr ,r ', P'i1/t"ell/^)'tle -*-
, " i lF"
lJ
r r^ dlr / l s : Lt /'|JI --'..."%
# pl l qJ tc * i_ ' r . l r l r + (2,11){ f r t l :or 1r) \ ), t )
,, / , ', io*'ti,
r'i : : &-tT,:
- ' l JL. l!
-tu *-)!q
J.at ---{
,v
i ' j 'unL]AL
)Vto j- (
c_r ^r
tt L,
of ! tF1
Foi2tt l
Vr;Vg
V.d A;,t l o{{t^}
- , | l€(
t. t ralt 1f tfi^Clit !1rr y,-.17.i
AwfrL- oft
r J- \ l i - \
Vi- V0=u1'--1t . , ' )1 F -- J i l
v t l
\ r t lu lo ' '
Qr
\ i ' 1 lVr - v0
F-*-
a(F
r l.JPT
.J.
-T-JF 1",: h"t
klat n
E7uot7 o"
+ Vcc
.l
-A-_
J --
:F-
: -#.
:
I
] \ , - "
| \-_ \
l '
,t
