Download Additional Analysis Techniques: Problems with Solution and more Exercises Electronic Circuits Design in PDF only on Docsity! Chapter Five:
Additional Analysis
Techniques
Chapter Five: Additional Analysis Techniques 321
2.3 Find J, in the network in Fig. P5.3 using linearity and the
assumption that J, = |mA, —PS%
2mA Gd) t,
Figure P5.3
SOLUTION: sf 2 =~ imA
ty ’
Vo > Heoe T, = ay Sas Tye Mo, thm A
{24407 .
Vi* Boe0 ey +¥Vy 2 vy
Vs r My ge Ama
3
OR
But, Te achalle epgunels 2mh, Se
g
322 Irvin, Basic Engineering Circuit Analysis, 8/E
5.4 Find J, in the network in Fig. P5.4 using Imearity and
the assumption that 4, = I mA.
2kO x, 2kO
Ap Ah
I
open
Chapter Five: Additional Analysis Techniques 323
3.0 In the network in Fig. P5.5, find J, using superposition. ©%
6kO 6 kO
oe Ay
rev) 6kaS Ch.) ema
As
6kO
Pr
°
Figure P5.5
SOLUTION:
Legs
-
p te
eg, = boo +{ fovos £2,000)
Bp tell
326 Irwin, Basic Engineering Circuit Analysis, 8/E
5.8 Use superposition to find V, in the circuit in Fig. P5.8.
6V
Figure P5.8
SOLUTION:
Aw
mofo fxs 180m /4oce
he Ry S27 '
f
of g
OPS
|
|
L
a
~ 1.2gV
Chapter Five: Additional Analysis Techniques 327
=.8 Find /, in the circuit in Fig. P5.9 using superposition.
HS
6kO %
Figure P5.9
SOLUTION:
ige Ey, Cb ae Aye tm A
a . / ~
= = : De pyetede egies x - oe byte ~
[ae F ve, i + Guage disisite , J oxi | bor =
es eel we S bewn thon f
Le = tko
4 L = >
fo heng” fy } Teg2 7 am A
{ bea AY bee
{ i joe
bee ene te
Ney t+ Top =
328 Irwin, Basic Engineering Circuit Analysis, 8/E
5.10 Use superposition to find f, in the circuit in Fig, P5.10,
12V
Figura P5.170
SOLUTION: } Pk
| |
|
! |
ene nen ees arimenameebint nema, | Tos = [ ee } 2 Bell
Chapter Five: Additional Analysis Techniques 331
5.72 Given the network in Fig. P5.13, use superposition to
find V,.
oO
1KOS 12V S2Kn Vy
1kO 2ko _.
* fl chk O
BV i) S1kQ 2mA
Figure P5.13
SOLUTION:
2V
Vo oMay © Vani bs
332 Irwin, Basic Engineering Circuit Analysis, 8/E
me A
5.74 Use superposition to find V, in the circuit in Fig. P5.14.
ema)
1koO
$y Oo
+
6V +) Vo
4 -O
Figure P5.14
SOLUTION:
g cae Bye tee, an e By = 24
Bee bHes
- -
VYorb| & [2 zav
Le Bend, 2
ey =& Abs Sen5b
Moo |
* foo SL.
Chapter Five: Additional Analysis Techniques 333
5.15 Find V, in the circuit in Fig. P5.15 using superposition.
2kn=
ae
°
2 Kas Vo
o
Figure P5.15
SOLUTION:
a
-
-
ry AE
i
336 Irwin, Basic Engineering Circuit Analysis, 8/E
5.78 Use superposition to find /, in the circuit in Fig. P5.18.
Lh
| 4kO
Figure P5.13
SOLUTION:
Bakes Lee Ys ska Pye Re a2hen
+
ne RS Roo yt Wee Gh
y
| A tye Li bs Cp = 15,
@ .
“Le a9
ry \- :
_. 3 Nae -12 Fg ZC Rgtt2) > -2.aAV
Ee Poet Roe B My Bea
| ied 1 te .
23 By. we ah ees Po> Rs AlPyrPs = Zien.
| fl $2 ;
Fp Ips amc Fe A Retbp\- 2.4 ma
Top Tp Be) ee pa
Ry rey ey
Ree 278, ey = 1k
Rez Re tle =3.5kR
Te = 2xto”? Re act Pe) * Lo7md
Gis % Gy 4, Ga Ves
To Tairerds [Sero2ut A]
Chapter Five: Additional Analysis Techniques 337
5.19 Find £, in the circuit in Fig. P5.19 using superposition.
2V
S4kO av@)
Figure P&5.19
SOLUTION:
Pp
Ris Ppa he = tlk by 2 AL
Bye (RAMA Es 4ASkA
Daye exe be “ty Es) Tie o.seand
bye be (2yth) = par
Vas Z Re W(t ree 2 O.4sv
ge XN ;
ea ~VeQ /S Obert) = -O fem A
a BH Ber tay © dha
es ri
pie)
\
v—|
w
ay =
340 Invin, Basic Engineering Circuit Analysis, 8/E
5.22 Use superposition to find /, in the network in Fig. P5.22.
Psy
24V ©) S&S 2kO
2mA
2mA
3kO S4kO
“ey
Figure P5.22
SOLUTION: ~
ys Bee ype GWh Bye ohn Pye Rhye
Says tae 3 Gs Mis Gat Gas 4a) = -6.¢m%
Gee tae Gy Git i+ ig the) = o.dmd
tae Dols Bae bon a kth
4 £ Aur ‘ a
Ven vd Ba SC la rG)e bay
Chapter Five: Additional Analysis Techniques 341
5.23 The loop equations for a two-loop network are
NR + Rp = \ :
LRy + ER» = V;
What is the relationship among V,, V2, and Ry for 1, = 0.
SOLUTION:
344 Irwin, Basic Engineering Circuit Analysis, 8/E
=
5.26 Use the results of Problem 5.25 to determine the value
of Vz such that V, is zero in the network in Fig. P5.26.
Figure P5.26
Explain why the values of A, and Ry have no impact on
your analysis,
SOLUTION:
The turret threat Lets freak bg the bom Curnedt
Saute, Thus, the vatucad by haa he tmpad ia sun
vebeh a nabeyts. ‘
Use, ts hen. Vo20 hee. turrénck Hrrough Ry is teen
Ot 4aecl Lose 4 the “padne, “4d Le,
Chapter Five: Additional Analysis Techniques 345
3.27 (a) Given the network in Fig. P5.27, find the value of
R, such that V, = 0 V. (b) Then find the Thévenin
and Norton equivalent circuits at A-B as seen by R,
using the results of (a).
;
Ry = 30 A +
t 1
av) La(]) Ry=1098V
Nx 2 0
Ro B
Figure P5,27
SOLUTION: ,
DD Scgseposibo: f d+
tay CE 2 Uy B Nos
Ne __d
ove ih U/l tea tbs)
YoutVer eVoso = \4Pa | Rtey By
by rEg thy z Uyreores
fr
sy conn AR pen :
DY . ee Voc 7 W4- ER ~ 4h © ov
yay (2) fay ¥.
14 We 2° OR oe . . 4
ie ee Prt = 24, © 270
fn
ce a : pore
cy 2% on G) Sezer
—
Rerim &
348 Irwin, Basic Engineering Circuit Analysis, 3/E
5.80 Find /, in the circuit in Fig. P5.30 using Thévenin’s
theorem.
12V e)
4kO 4
A 6kOS
26k 6 mA
’ Ly
Figure P5.30
SOLUTION: ®&, =f, 7 4ki Foye but Py © GE
A kG fhe Veg ¥ Gwe TPS Ugg = -2d iy
hvu ny"
FL.
es
s \y a
ets Dima 2 CE ge hy bys Let
: '
Chapter Five: Additional Analysis Techniques 349
3.41 Find V, in the network in Fig. P5.31 using Thévenin’s
theorem. PSY
2maA
G)
$y" AW ~O
2kO | 2kO +
wv 4ka = 6kQS V
_ <, < o
| | 5
Figure P5.37
SOLUTION: Bp Cs 2hn. Ry = 4h pr een
£5) = Gooet, - Lo00L The ZhA
G Zh
Th Lys 1btma
+
want | a Moe Ge Re CT, Hl 4 Ke L-T) oe 2d Ves f0.07V
Vans Bat (ie) = 3. 33k0
a ———
a \
it Noe Vocka (Lb tH) | Verb. aa
XQ) 8 ve i
350 Irwin, Basic Engineering Circuit Analysis, 8/E
5.32 Pind V, in the circuit in Fig. P5.32 using Thévenin’s
theorem.
+0
PAS
a
x
jo)
Orv
2kO
v—_—_—/ 12 kD
Cf) ama S 2kO
ry
oO!
Figure P5.32
SOLUTION:
Eye Rye Zhan Bye Het Bye eh
eT Cryrh\ = BD, Tz 2 tnA
E,=> 3. 33mA
Ray + Ry T= Von = 2). 938
Prts @, HPV aks o 3 23ke
ey
eWay - oneness
Ag by ee we Pye eae
Yl Ry Ne 2
et. r an bey Gay en
Chapter Five: Additional Analysis Techniques 353
5.28 Find V, in the circuit in Fig, P5.35 using Thévenin’s
theorem,
ema(f) » 2 kQ Dy mA
2kO<
ni Ay *
fh
3
>
i)
x=
iy
oo
Figure P5.35
SOLUTION:
Eypeeme Le gmt dye -tma
D4 by fort) Mero
Ty tg + yl Dyas
Vou * Zov
8.38 Find V, in the
theorem.
Irwin, Basic Engineering Circuit Analysis, 8/E
network in Fig. P5.36 using Thévenin’s
Figure P5.36
SOLUTION:
or 4a) imn
Dye @mA Te - IMA by 2 - ima
Rat, +8, OF3-E)- Rr tpeweoze
Voe = BV
‘Rw Cyt edy = Sku
fou
. Lt a= Vor Bap
Vac) 59 Ne : Eayy The
i tooo
—
Le OSV 4
fi
Chapter Five: Additional Analysis Techniques
355
oa? Find V, in the network in Fig. P5.37 using Thévenin’s
theorem.
O
Figure P5.37
SOLUTION:
A dy =
4
i Weed. 7 fhe Ey ty + Eph) e, 4
os
bmi ( tas Vea~ Bs hy 4 Bz OT, -h2)
ba
Yoo = Bi2V
fan (etek, =
Pe. yell
358 Irwin, Basic Engineering Circuit Analysis, 8/E
5.44) Find V, in the network in Fig. P5.40 using Thévenin’s
theorem.
2 On
1kO 1kQ
? fy DAK O
+
1kOS 1 ma(f) 1kKOS OV,
O
Figure P5.40
SOLUTION: Bu f= tka
Ee 2mA oT, --i m4 Dye - Ima
ZEA CR ind x
2.
“t 2 oe eo ~
ra Ad Put, +Be( Ty
gw
Foe
Von BY
x) bey (2 -D Ye Mecee
Chapter Five: Additional Analysis Techniques 359
3.47 Solve Problem 5.12 using Thévenin’s theorem.
SOLUTION: &, =G =€o- hte a= Gy zen
apn :
z Vand ay bp, PoE 4 Ty Cb, ety lly) oO
:
t _ .
We alt TGs) - Ee, -Ty ty =°
$b +t
n@ LD ana Vee Ty = - 2m
a
IDEM y-HV Ry — Be tee | tgs BY
po td Ty (Gstyta) - Fe, - Fs <0
OF Dee A Fe
7% wi Pat, tele Grig) EG ©
ey ts +
oe Ox . Be -Tx dt Lys bn
L Tea 3h at =
° , Fri = Ye fp, m= 1 1FhO
yt &y (4-G) 48s Gy -t 0
mo
Ai
£ a
Ww R, AE Ves Von m= Ves Corey |
Ee vey peer)
f
360 Irwin, Basic Engineering Circuit Analysis, 8/E :
5.42 Solve Problem 5.13 using Thévenin’s theorem.
SOLUTION: B= = Ge tea hye le EZ
+
[ Aiev Voey Voc = 12V
Me
Me Vocd = ov
he. by
6@ i
pve :
ee
Vows + Ze Fy = AV
H)2mA
2
Voe= [bv
Chapter Five: Additional Analysis Techniques 363
Given the linear circuit in Fig. P5.45, it is known that
when a 2-kO load is connected to the terminals A-B, the
load current is 10 mA, If a 10-kO load is connected to
the terminals, the load current is 6 mA. Find the current
in a 20-kO, load.
OA
OB :
Figure P5.45
SOLUTION:
Erk '
pt vas :
AS ete tye Mee
CD Bs Bry
i
364 Iwin, Basic Engineering Circuit Analysis, 8/E
5.46 If an 8-kO load is connected to the terminals of the
network in Fig. P5.46, Viz = 16 V. Ifa 2-kQ load is
connected to the terminals, Vi, = 8 V. Find ab ifa
20-kQO, load is connected to the terminals.
SOLUTION:
fee’ = t Vee fZoml, yy Beas f Loon +h
Brent Bony 20> + Oy fan \ $a Hee /
Chapter Five: Additional Analysis Techniques 365
5.7 Find J, in the network in Fig. P5.47 using Norton’s
theorem,
2 kD 4kQ
‘ AYA
yy
=
6
Figure P5.47
CG 24
SOLUTION: Res Zhe Paw tln by e¥ere
fy fe
a ee i
Arh 1d Hse Dye Fy Tee k ama Tye BE baad
WOE 2 Or é, z
ba Tex FmA
& fe
eA Pl ap a le camer - ——
po eng | Very = Va Oy © 4 La
Fin | ,
ae
cone eg / ee
4. A Ft Tas brn | R287 mA
+ fy o & 3 rn ay
BEP muy 24 Ey tes a
a ee
Irwin, Basic Engineering Circuit Analysis, 8/E
3.50 Find J, in the network in Fig. P5.50 using Norton’s
theorem, &%
vA o
2kQ Ty
po fe
6 kA 3kO
12V *) “T 4kQs
Figure P5.50
SOLUTION: @, > 3ka
Eat i%e Coat a - 9, By
ea oY ° ay ; Fy,
Chapter Five: Additional Analysis Techniques 369
5.51 Use Norton’s theorem to find V, in the network in
Fig. P5.51.
Figure P&.51
SOLUTION: Bt Ry HZ ae Rye te
g
qr )
| Tyee PA/RY = GmA
370 irwin, Basic Engineering Circuit Analysis, 8/E
5.52 Find V, in the network in Fig. PS.52 using Norton’s
0 é =
theorem.
4kO
Ay)
rev(t
Figure P5.52
SOLUTION:
Re 3k Bg kes kn My =h~ inke,
@, > the Raa Sle Ree 4en
Rae Ba Ve tha Pgs he He = tier
Ty. = Ty
te= T, (@2+@a)- Py Ty
T2-L3- oma Pes h Zima 2¥se
Fal Pa +R4) - Reh - Paty =0
t2= Dk, +P, Ry
Eng = [ee 7tde PR] F (Mee) © B.s7LA
~ ple Vo = Ese ( By 7/29) Noe eau |
a) Pas eal Ve ee