SlideShare a Scribd company logo
)
B
->
F7"*ll*;^ f'a-b + il"* t|"b,*
2*:-
X A/ .7,fl-'Lr"ut^'- , o^*t4 + /1"' tf t?'"" ,a (pu,'ohJ
-,fl^ /n-u- / t# ''u'arua',
LtJ
il LtA: /'o'-0?1'tb-ol= =u"*M: /eua
u/,*'-*-
f- ; /d* *yeLn"t^ fo*
J.
#* sfrtt* '
/
l-
fu tr*
E/a,"'f-(* LD ; -
-' a)
ofi
J.h-|-,L'ri
V
fb t/tk-"'' / ^)<
a""-t
y"b^-
Ct) Jt d"U"J
: d*-J
uoo. /": A t
8.L t- 2 t"l
J" =c)
-{ cd) = ;f 'Lt +
ue Lr-oe- ry'L- T^/o^ tr)
/e iltu-,tJ = fl::-rr
rr., J : /"7,t' L Ad r__1,
alefo-"J
I
) 'i C,i- -t) I ic
-l): '/.[/&4-A
Zt
>tcg
>-L
,Lt
o
aO
n
= ,/
:
o+ b
c::)
@
dLo =
ZU-) =
A cil'
I
v+
+
z
@
t2
o6
dCrl = z[w-r)
W)=*+ 7
dM -Ldwi = *
1; cL.-L 1* t-*J;-lS ' +
flLn ?-T'J*, = o
Ct-tT ZL,-J = c)
l-z--g:l = o
'I
_u^ Olr- Z = C)eo ,l
f,J-
?ll
Jo r /L; JdJJs'"'
@
"'tL'V'^'b
*1r,*l- Y'
&
; o,t-bs
arL.
r/-)
C,
E
d-
4 fu-a{. -3J}'
J-b dM =
'&,,1 -4J-0e
I4
x
,
;
30
o
o
=o
8o
- 3 )^-S/*
ul. + r # =
d"+ d*
d. Ct+UJ
-l
3
=O
..1
d.--lc) t*t. --5
w) 6 "U.t'
ilax 'ila-U"'f$ /' ^)e- ^^'"tt 'L'vo'r'iz 'tl'*- sX':Le'^
i e'ttu'aD z
-xJ = U:+'d.tflG-i-u.]
Atuas'P
ooo JXtt n^v (ft '0j*t",riV$""'
fLtt-) = qdr-a) + J [lt*zX.(l'n-,
lcnt = r4y,,-0 + 3J*+6J.1 {cr--tt
@ tn,:o
yw ,1
?-'t@ = o
Q-4 ?) Aw) = o
:^ t_t+?-, =o * ?
T-4 ?e )
s. @ 1.:o &d$^f,^..
@ f" - -l
Itt'-)
aw)
Ti) oh--r.lr-
,4vch,-t) + c-r) + G6) Lucc'v)
q
lCtp-t)
- z1t ut) 1
zJwi = -9
"J -rl"t"- +L- utt
u'rc)'r-
<-
t
=o
=O
^%
7"=-l
+1,*,: hoL,ry / /'*)t* ^A'*V'^b <1"-JY '
-Y U@) + z|wt) 3 o
Auu +zT' /Lut
(t+LV-) lw)
l+zTl 3-q2
ooc tr+Z
A O
Em,r^y't- 6)
NXrr+ r Pl'w-t)
'll,,t- *7'* L IL r' u'nu- P "",&
//* C"t*';hL^ oov &
lL
cD -k't
rhA,q -f +t* Vtle''n
Jct-tr'--h,Lrn 3-
AW):Yl) =d'
/. = Nl. fs l:c2
70
F l: *1. qI-
I
t? ,t: - Ce -t) t<_
i.[rtu-ta(-D)
#
:9
B J. - C'c-uJ - o
lv
fg - 'c-tI
[.-t -
l()'
/ a,re I -Lv^n^f I
Ve'
tl*t-
t") T; €,nsqru-
L
JfllX'r'ttt
U
= d: t'/'[ltu<) J']
trt
Tlcr')
flcut
aw) = nqfl'o)
xL ab)
oR ,Jatu7
"%'t4'
(t*
fr:
@ t-=.,
3w)
@ b=1,
@ k-=z-
@ )<=3
I
I
t
@k-
'1. = 6-
xJ'
@ l.=
x-l
F
o(
J
Lw -r)
= ed(u-O
z o(UUt--lJ
JLU)
lw
r
+ z-dw-t )
-Z /wt
*liy O.-l7t
Cz-n)7l Jeth)
cz-qd ?! t@)
I - Cz-x) ?-[ .-
T - Cz-1 :-e)
=o
-) l7= z-x I
t t-t-,-'b L-
fu shJ,q / e-4
f,* u^^b u'ril-
-l {z
-5

t_

-L
^
C-IJ
: -Xd,t --D
= Lz_q y_t) +
#* lf"Aq / n*-/r---o&
c2
Co
gr
; ;lz,A,l-
f
Nl)
I'V 'd*- 4
W tVu'bw ; ,sA^l--a'-
fu
tut ff % "aL (rf
ry2
W- JdLlt'6^,-
n,/t +
z JLQ-I'
? / J'c->"
u ,-l,tB-l:/: a-#^uai-(,e
TTJ-.ry 7-tra'- ft^ e;t<-
!l
't
'i I
6-r /cS: +
: Jdco)
botL tulu (Nef '^
h ucJJ
+ L, sLA)
/**,1
: a't /LD + A' &w)
,
ucr) :7
C;_at Aq) = J/'s +
UV)
Jw=
L, J
J-l
L,J
G) c;*Qr)
+ J.LA)
@
+
ACH -
t0 n r
dzLS ) :
cJ4 (a-ut)
L' 5
+
?
:
a-(
A
7-l 5-a-[
h5
3- o,
3'= |
+
)
C-, O
% f
--oll
w+ 2"t
JrcA)
dtaS = v-l
+ J-' j-a' t
L-l
cD +
+
Lt a1 l-- t
laDert- |
UI
J
:
I
t-
b
o%
/to-l
-l
-oo Z
41 -l
Lt
Lt orr
L-l
cql
l- a1
&1 -l
o
C6
U+CY-s = Laloloo) +
lL.._^ , Lta/ cott)'l'-l
@r) lr"l + a{1-t
-
Ur Ct')
LtcLl
ercr _ |
V!t+-l
CZ) UUI-) : lt',,tQ{r)
'o' Acal =
;fio ct ) t
ucs) :
Jz_ zJ Cea ct) + ,
L 5
Ac')
<-
A -cLI
d r.:
C|-a) CJ"-.;&4--u) 4 t)
*i^V 'p'"'J va-!* f. e"b /T* r^trJA
ilb) - O/
Ol.v
O L^-
1
o
Jfu.
"^J
occ
O
c6
c)
OG
L<a,-tza
atx-&e--q!- "i4/^J t*
oluas a, I J"f""*! ,*-t*^L C-o,vJ':hL s
L, C{''t'tcI))
G-u) LVz- LA@A u) -+r)
C>-r)U t>): ,fn B/#,Y) C
Z -o rJ Caq-"> as^-,t ( r ) - r-l-
Ltfsr'^c,fJ)
= Uu uc|) =
L, Lrrhc,) JJ
CJ-"! CJt-=Jc"l+t)
1
uChs
/L 'f'/L",ry'Ve
IrJ
I
O l--j I
Ecil z ' -1,
at
,a) : J|s
>+q
f,*rc,(t-,h- fu
-z Eq)= |
u-r
- l1 (il Jral -Cu
Cu
Lt)
J+3
LE)
E czt
h4 cn tr(a)
c7+9
Pcs)
69 ltca)
Ecz) =
. L.'r
Kc7)
G+9 a-r'.-
&+'4
c))
k-cLl - 5
&-,
C7+q) +G+gHcal
C A+rl)
s
cJ+9 C fr-t)t @*,1# CT+ilt{fl
oou FCAI .Z
7+i-
2
/
r"g Ecil=
5
a
cls: ? cJ") rcTS: * '21vat /ar C-7r97l)s
a?
?e QJ
CJ*A
Q7+',t/-l)
G *?)
ehq) (S-t)
J'1''rl'tr'rt =J
i
e d.J
@
oa
%J=
€rd
1t Ac6)
o
c>o
Htz.)
3*q
oC/€
kt
'u ^et
Tot ctg cz-Dt a,-tr vr4ffi
)<6
Pw)
k,
G)'
Ctq/ Cr-t)tl G+9+@9!zs
3+'4
ttrl
@+gCa-gtft (z*:Dti*t-
€t.l =
J*f
J" trJ
Z
c3) LS) Co) + 4q
6) C")
9u /4U ):
EX^*FJ,- Cel TT,- ohL,,$ t &* ovq'-",W s1,b,r^
J rrl^,,.,Lit-
g ca) k
?+
L
c7*9
G*DZ^
| + e,q) Hq)
k-c t+)
ct*4Jz
k C[+ t)
t+ Lc?-t)
Gca)
| ("rt l? r f r-L 
Jo+23+ I + bJ-l-
-A/)L''I rz,y'-J{4 -p'wul,"t'- L')-tu @
J ct)
k crJ
J '+ Ltqt) J + Cr- l.J
Lq+t)
+ Ct_I-) = o
L+z / C: l-L
I; Mh*tb I
tlJ,lrl1 ^t- /t* t/oto-,*, , t7 t u^^-h -l'--
L lrt+ 8 L
1;
4
AtL =
N+tc:
k
kL
+Cu+d
f* ovteal.P- Jflleu4 tt 7"*'
VCk) - l'lrc?trLu)
+ Lt+rT') QctD
ET
Hur^')
Arz+s s
sf Iu*
_ff] 8"
Ac
[2ts,
llqccy'I)
CiL
Tto
s6 l*.
A+ c?-') '
+fscT') sL'f-)
t'/ 7
A t?-rl; 4o * o.?-' r F "7n)
: Lc'+ L' ?'l
A. (T-D i. ctcc, -[ uct 7-l
lZ C?-') 1 J CT-D to n*J^i'u"- Atctr4) ? 7
ooo /l*q'-'(A KYBT ; '4u
-lr-vc,4rL)iF
JQCtss) =&4.?(.-) = I
L/
ct)
2
€e
J-ACAH= | ) oL<5LrtJ*.lqcrc)= |
I +'ledc$z l
- d<s t/z) = e
-)d
u% .&rh Pc?-,) = ro
trJo
e?
ffi
Ac?'t) Bc?-') +
Co,+o. ,?-t) (a) + '6-.Itf
1- Lo Jo =
Q<-o Cl)
+ bt Su Z oLC't {")
f d-st Lu
1 b t4")f t,'r,.^X*L^J--(-
I
L &t Lt J
Jt,llb^ b t,*t u'4tutXuL J*AJ:L a'
lsc?-t) 5c?-')
C L.+hT! t" :
: 4'-c7-t1
acu * evr 7-l
4*1
. //*^ u*
+
( Scf-t) = 5+ 3?-l
fo epLL*- 'A c-eV-t1 ? Z
Dra,7n kq-',
E
,A fa+ BJ : a4c
aeryQAB) = eeALBs) = 'lefru1') = I
| =) 4- t+ dgrrd
= |
| 4 t+ JVcs= I
A eu2t9 --a 4 Scf-U = -ro
?' d c?-1) P c?^t) + Tq-'Jsc7a)
A'soY-U
Ct+ ,?-') F + CS+s?^t)-fo = ?-'
-*+-**
c*/c./,4rr,br
=enl:)av
=o
o I=) r
c7a
fc,+SJo:'o-
Zro + 3Jo = I -
l.:l[;]= [;]
["] = ll :l 'I;]
f,uJ tz r J I
le
/- llc?-r) =
A# E,rr,' i IT
A n L4ouL Jiul/rd /Ar"b,t r Jo uJ<- *e- y*Jo 'h*''-
6
I
4o l4 U't- Jal'-h""-
pJeuoL 1'4W/^Jz n'
,/
tal{
tuiel /1 u) t/UX lr| f
_t
fa6-ILCA ) =
rutr( CY1^ t nJ
.g u4
o
.o
d r=B
n4 1 Vt
(..)
M/T
//--ruv
n SArl
Uutt^CZ ya) : 3
rad ,v"rL
A* B : nT N,q Ar)
a-1 o
bt o
b6 e1
o(o b,
-t
@
at
-t
6t"s o
L'.;z^fil
=
fll3t4 ls, l,nt 3xl
- o, 163
l
Q)r +?9, I
o,3 o tS
o.,s I
r, , o'179 I
31 3 -o'oS
B
uzl'7
X/+
7e,"1.
lu-u(uoJ
A 3 xul f-/oA',z L
Ptr+ CA) = Ytnl^C 31 4) = 3
& A ca #
rb'P
''+ -l
"? 4'Y z 4T C'a Ar )
.s X : A*r3
6. I 3L
-s .O t?
_.r,-oT3
o. l]9E
A* n:
f^g : -G'169
3u : o,.3of g
c)
aO
#
#
a
aO
/L cT-t) : ^ o. lc5 + o'lTs tf
fu,^^p"l*ca);- fl U@ f-v
Ac'UPc?'')+?-ttjL?"',)sc?'l+Lc?'trc"")-A'cv)
/)c7^t ): t +a, 7'l , BC7'l = Lo4,? ^l
cc71 :cu1o74
c/) -CV') : qo I o.,'
7
-t + aoz- 7-L +ac'" 7'3
f^A-
t-rnc,(. Tr- hro^ F+D@r,'urAL R ,5/ f-ta
tof,a-.t'tfl/T'-PbLlLt7,"M-?
f
/b Jr'Lk;b
7p + ?^Bs +.T : A'-
$cnry) ' JZCFas)= a"5ccT) = 4<6crk')- s
Jz- ryc'ztz) ' 4 ) evcA -t a2 04 = 3
)+ a"7Cr-J :S I "5
.3 L+ f2c.V-'1 = ra+n?4 + A7''
ooo ,ftC Z-r Bs) t J a rZcf) 147c8) + J2 CsJ:S-,
I + t+^1 Cs)= s -)
ola lt JCV-| : Jo-t{tTl
ooo -("+ TcT! c t"+ t,V-l 4 h7-a
ooo a"A C cT) : S J -!eAcc) aJ"'5C r) = 3
t+ fucfl 3 s -) ficr)
o
eq
& /4c?'9 {zE1) + f-t [cf'! sc7'9 + e-c?'9 7r?! .4.cf)@
(t * ctr
?-, C ra+ r,T-/ 4 rt79 + Vl Cboabt T'g Cstst?1) +
C."t ctT-) ( i" + tr?.1 + tr?-.) =
qal Q.r 7-acviz+*rit
Ltlvrzl';*'-f
t'e + GLu 2 qco - tt)
n + o,1 ro + boJulG lCrfc, =cLct
41t^t + rL + Lr Joi LoSl + c1 [y *cota
@)
4-1 h + Lt Sr + abz- =
= cl"cy CsJ
tq-l
C)o'eoeoer
I o bu o cl co
ct1 | Ut bo o c,l
Oc1 q>b1 oo r{x l
A il q/8 tao'bnx f"-,'u/ 7t*^"lo
/iveu?J
lb^'lL C,lt) : LLu'tn ( q t S) = t-.1
I
eLr
o
o_-
"1
:.il
c'
j
q^g
Qct
tBx,
of co
Q.l
qCr
Qca
BA
A{) frfu raa
"o" AX : Ar 6,AAD
I
Qc[)
tlco
frt)
' C_cD
AMH(n
z+!
ACD
l
4Dtt c,-rr)
<-
d(s)
GCO
fut) [+- cu7l]cV)-
lc Ca'-r)
ca+r)L
lc-c7+r)
ra +)Lt.f;?-r)
r+
I
i
I
I
J

More Related Content

What's hot

حلول كتاب الوزارة (احتكاك + تطبيقات بيوتن)
حلول كتاب الوزارة (احتكاك + تطبيقات بيوتن)حلول كتاب الوزارة (احتكاك + تطبيقات بيوتن)
حلول كتاب الوزارة (احتكاك + تطبيقات بيوتن)
منتدى الرياضيات المتقدمة
 
TUGAS MATEMATIKA
TUGAS MATEMATIKA TUGAS MATEMATIKA
TUGAS MATEMATIKA
Lara Sati
 
Frequency Response Analysis
Frequency Response AnalysisFrequency Response Analysis
Frequency Response Analysis
VijayalaxmiKumbhar
 
Modern Power Electronics Notes on Resonant Inverters by P.Praveen Kumar,Asst ...
Modern Power Electronics Notes on Resonant Inverters by P.Praveen Kumar,Asst ...Modern Power Electronics Notes on Resonant Inverters by P.Praveen Kumar,Asst ...
Modern Power Electronics Notes on Resonant Inverters by P.Praveen Kumar,Asst ...
Praveen Kumar
 
Vector 2
Vector 2Vector 2
Vector 2
foyezcse
 
Biomedical Circuits & Networks - Transient Analysis and Two Port Networks
Biomedical Circuits & Networks - Transient Analysis and Two Port NetworksBiomedical Circuits & Networks - Transient Analysis and Two Port Networks
Biomedical Circuits & Networks - Transient Analysis and Two Port Networks
Mathankumar S
 
Fuciones matematicas
Fuciones matematicasFuciones matematicas
Jpg2pdf
Jpg2pdfJpg2pdf
Jpg2pdf
fahmihid
 
Resistencia tarea
Resistencia tareaResistencia tarea
Resistencia tarea
EduardoMamaniFlores
 
Biomedical Circuits & Networks - Network synthesis and filter design
Biomedical Circuits & Networks - Network synthesis and filter designBiomedical Circuits & Networks - Network synthesis and filter design
Biomedical Circuits & Networks - Network synthesis and filter design
Mathankumar S
 
Power Systems Engineering - Load Frequency Control Derivation & Calculatio...
Power Systems Engineering - Load Frequency  Control  Derivation  & Calculatio...Power Systems Engineering - Load Frequency  Control  Derivation  & Calculatio...
Power Systems Engineering - Load Frequency Control Derivation & Calculatio...
Mathankumar S
 
MATLAB: Output Voltage of Series RC Circuit utilizing Euler Approximations
MATLAB: Output Voltage of Series RC Circuit utilizing Euler Approximations MATLAB: Output Voltage of Series RC Circuit utilizing Euler Approximations
MATLAB: Output Voltage of Series RC Circuit utilizing Euler Approximations
Katrina Little
 
Textile testing &amp; quality control (ttqc)
Textile testing &amp; quality control (ttqc)Textile testing &amp; quality control (ttqc)
Textile testing &amp; quality control (ttqc)
Hasan Chowdhury
 
Ee made by mrp
Ee made by mrpEe made by mrp
Ee made by mrp
jibonghosh
 
Laplace transfrom lec
Laplace transfrom lecLaplace transfrom lec
Laplace transfrom lec
foyezcse
 
Power Systems Engineering - Transmission Line Parameter Calculation For 3 Sub...
Power Systems Engineering - Transmission Line Parameter Calculation For 3 Sub...Power Systems Engineering - Transmission Line Parameter Calculation For 3 Sub...
Power Systems Engineering - Transmission Line Parameter Calculation For 3 Sub...
Mathankumar S
 
Mathematics 3 handwritten classes notes (study materials) for IES PSUs GATE
Mathematics 3 handwritten classes notes (study materials) for IES PSUs GATEMathematics 3 handwritten classes notes (study materials) for IES PSUs GATE
Mathematics 3 handwritten classes notes (study materials) for IES PSUs GATE
Khagendra Gautam
 

What's hot (20)

حلول كتاب الوزارة (احتكاك + تطبيقات بيوتن)
حلول كتاب الوزارة (احتكاك + تطبيقات بيوتن)حلول كتاب الوزارة (احتكاك + تطبيقات بيوتن)
حلول كتاب الوزارة (احتكاك + تطبيقات بيوتن)
 
TUGAS MATEMATIKA
TUGAS MATEMATIKA TUGAS MATEMATIKA
TUGAS MATEMATIKA
 
Frequency Response Analysis
Frequency Response AnalysisFrequency Response Analysis
Frequency Response Analysis
 
Modern Power Electronics Notes on Resonant Inverters by P.Praveen Kumar,Asst ...
Modern Power Electronics Notes on Resonant Inverters by P.Praveen Kumar,Asst ...Modern Power Electronics Notes on Resonant Inverters by P.Praveen Kumar,Asst ...
Modern Power Electronics Notes on Resonant Inverters by P.Praveen Kumar,Asst ...
 
Vector 2
Vector 2Vector 2
Vector 2
 
Biomedical Circuits & Networks - Transient Analysis and Two Port Networks
Biomedical Circuits & Networks - Transient Analysis and Two Port NetworksBiomedical Circuits & Networks - Transient Analysis and Two Port Networks
Biomedical Circuits & Networks - Transient Analysis and Two Port Networks
 
Fuciones matematicas
Fuciones matematicasFuciones matematicas
Fuciones matematicas
 
Jpg2pdf
Jpg2pdfJpg2pdf
Jpg2pdf
 
Resistencia tarea
Resistencia tareaResistencia tarea
Resistencia tarea
 
Biomedical Circuits & Networks - Network synthesis and filter design
Biomedical Circuits & Networks - Network synthesis and filter designBiomedical Circuits & Networks - Network synthesis and filter design
Biomedical Circuits & Networks - Network synthesis and filter design
 
Power Systems Engineering - Load Frequency Control Derivation & Calculatio...
Power Systems Engineering - Load Frequency  Control  Derivation  & Calculatio...Power Systems Engineering - Load Frequency  Control  Derivation  & Calculatio...
Power Systems Engineering - Load Frequency Control Derivation & Calculatio...
 
Semana n°01 solucion
Semana n°01 solucionSemana n°01 solucion
Semana n°01 solucion
 
MATLAB: Output Voltage of Series RC Circuit utilizing Euler Approximations
MATLAB: Output Voltage of Series RC Circuit utilizing Euler Approximations MATLAB: Output Voltage of Series RC Circuit utilizing Euler Approximations
MATLAB: Output Voltage of Series RC Circuit utilizing Euler Approximations
 
Textile testing &amp; quality control (ttqc)
Textile testing &amp; quality control (ttqc)Textile testing &amp; quality control (ttqc)
Textile testing &amp; quality control (ttqc)
 
Ee made by mrp
Ee made by mrpEe made by mrp
Ee made by mrp
 
Laplace transfrom lec
Laplace transfrom lecLaplace transfrom lec
Laplace transfrom lec
 
apt hope 1982
apt hope 1982apt hope 1982
apt hope 1982
 
Semana n°03 solucionario
Semana n°03   solucionarioSemana n°03   solucionario
Semana n°03 solucionario
 
Power Systems Engineering - Transmission Line Parameter Calculation For 3 Sub...
Power Systems Engineering - Transmission Line Parameter Calculation For 3 Sub...Power Systems Engineering - Transmission Line Parameter Calculation For 3 Sub...
Power Systems Engineering - Transmission Line Parameter Calculation For 3 Sub...
 
Mathematics 3 handwritten classes notes (study materials) for IES PSUs GATE
Mathematics 3 handwritten classes notes (study materials) for IES PSUs GATEMathematics 3 handwritten classes notes (study materials) for IES PSUs GATE
Mathematics 3 handwritten classes notes (study materials) for IES PSUs GATE
 

More from cairo university

Tocci chapter 13 applications of programmable logic devices extended
Tocci chapter 13 applications of programmable logic devices extendedTocci chapter 13 applications of programmable logic devices extended
Tocci chapter 13 applications of programmable logic devices extended
cairo university
 
Tocci chapter 12 memory devices
Tocci chapter 12 memory devicesTocci chapter 12 memory devices
Tocci chapter 12 memory devices
cairo university
 
Tocci ch 9 msi logic circuits
Tocci ch 9 msi logic circuitsTocci ch 9 msi logic circuits
Tocci ch 9 msi logic circuits
cairo university
 
Tocci ch 7 counters and registers modified x
Tocci ch 7 counters and registers modified xTocci ch 7 counters and registers modified x
Tocci ch 7 counters and registers modified x
cairo university
 
Tocci ch 6 digital arithmetic operations and circuits
Tocci ch 6 digital arithmetic operations and circuitsTocci ch 6 digital arithmetic operations and circuits
Tocci ch 6 digital arithmetic operations and circuits
cairo university
 
Tocci ch 3 5 boolean algebra, logic gates, combinational circuits, f fs, - re...
Tocci ch 3 5 boolean algebra, logic gates, combinational circuits, f fs, - re...Tocci ch 3 5 boolean algebra, logic gates, combinational circuits, f fs, - re...
Tocci ch 3 5 boolean algebra, logic gates, combinational circuits, f fs, - re...
cairo university
 
A15 sedra ch 15 memory circuits
A15  sedra ch 15 memory circuitsA15  sedra ch 15 memory circuits
A15 sedra ch 15 memory circuits
cairo university
 
A14 sedra ch 14 advanced mos and bipolar logic circuits
A14  sedra ch 14 advanced mos and bipolar logic circuitsA14  sedra ch 14 advanced mos and bipolar logic circuits
A14 sedra ch 14 advanced mos and bipolar logic circuits
cairo university
 
A13 sedra ch 13 cmos digital logic circuits
A13  sedra ch 13 cmos digital logic circuitsA13  sedra ch 13 cmos digital logic circuits
A13 sedra ch 13 cmos digital logic circuits
cairo university
 
A09 sedra ch 9 frequency response
A09  sedra ch 9 frequency responseA09  sedra ch 9 frequency response
A09 sedra ch 9 frequency response
cairo university
 
5 sedra ch 05 mosfet.ppsx
5  sedra ch 05  mosfet.ppsx5  sedra ch 05  mosfet.ppsx
5 sedra ch 05 mosfet.ppsx
cairo university
 
5 sedra ch 05 mosfet
5  sedra ch 05  mosfet5  sedra ch 05  mosfet
5 sedra ch 05 mosfet
cairo university
 
5 sedra ch 05 mosfet revision
5  sedra ch 05  mosfet revision5  sedra ch 05  mosfet revision
5 sedra ch 05 mosfet revision
cairo university
 
Fields Lec 2
Fields Lec 2Fields Lec 2
Fields Lec 2
cairo university
 
Fields Lec 1
Fields Lec 1Fields Lec 1
Fields Lec 1
cairo university
 
Fields Lec 5&amp;6
Fields Lec 5&amp;6Fields Lec 5&amp;6
Fields Lec 5&amp;6
cairo university
 
Fields Lec 4
Fields Lec 4Fields Lec 4
Fields Lec 4
cairo university
 
Fields Lec 3
Fields Lec 3Fields Lec 3
Fields Lec 3
cairo university
 
Lecture 2 (system overview of c8051 f020) rv01
Lecture 2 (system overview of c8051 f020) rv01Lecture 2 (system overview of c8051 f020) rv01
Lecture 2 (system overview of c8051 f020) rv01
cairo university
 
Lecture 1 (course overview and 8051 architecture) rv01
Lecture 1 (course overview and 8051 architecture) rv01Lecture 1 (course overview and 8051 architecture) rv01
Lecture 1 (course overview and 8051 architecture) rv01
cairo university
 

More from cairo university (20)

Tocci chapter 13 applications of programmable logic devices extended
Tocci chapter 13 applications of programmable logic devices extendedTocci chapter 13 applications of programmable logic devices extended
Tocci chapter 13 applications of programmable logic devices extended
 
Tocci chapter 12 memory devices
Tocci chapter 12 memory devicesTocci chapter 12 memory devices
Tocci chapter 12 memory devices
 
Tocci ch 9 msi logic circuits
Tocci ch 9 msi logic circuitsTocci ch 9 msi logic circuits
Tocci ch 9 msi logic circuits
 
Tocci ch 7 counters and registers modified x
Tocci ch 7 counters and registers modified xTocci ch 7 counters and registers modified x
Tocci ch 7 counters and registers modified x
 
Tocci ch 6 digital arithmetic operations and circuits
Tocci ch 6 digital arithmetic operations and circuitsTocci ch 6 digital arithmetic operations and circuits
Tocci ch 6 digital arithmetic operations and circuits
 
Tocci ch 3 5 boolean algebra, logic gates, combinational circuits, f fs, - re...
Tocci ch 3 5 boolean algebra, logic gates, combinational circuits, f fs, - re...Tocci ch 3 5 boolean algebra, logic gates, combinational circuits, f fs, - re...
Tocci ch 3 5 boolean algebra, logic gates, combinational circuits, f fs, - re...
 
A15 sedra ch 15 memory circuits
A15  sedra ch 15 memory circuitsA15  sedra ch 15 memory circuits
A15 sedra ch 15 memory circuits
 
A14 sedra ch 14 advanced mos and bipolar logic circuits
A14  sedra ch 14 advanced mos and bipolar logic circuitsA14  sedra ch 14 advanced mos and bipolar logic circuits
A14 sedra ch 14 advanced mos and bipolar logic circuits
 
A13 sedra ch 13 cmos digital logic circuits
A13  sedra ch 13 cmos digital logic circuitsA13  sedra ch 13 cmos digital logic circuits
A13 sedra ch 13 cmos digital logic circuits
 
A09 sedra ch 9 frequency response
A09  sedra ch 9 frequency responseA09  sedra ch 9 frequency response
A09 sedra ch 9 frequency response
 
5 sedra ch 05 mosfet.ppsx
5  sedra ch 05  mosfet.ppsx5  sedra ch 05  mosfet.ppsx
5 sedra ch 05 mosfet.ppsx
 
5 sedra ch 05 mosfet
5  sedra ch 05  mosfet5  sedra ch 05  mosfet
5 sedra ch 05 mosfet
 
5 sedra ch 05 mosfet revision
5  sedra ch 05  mosfet revision5  sedra ch 05  mosfet revision
5 sedra ch 05 mosfet revision
 
Fields Lec 2
Fields Lec 2Fields Lec 2
Fields Lec 2
 
Fields Lec 1
Fields Lec 1Fields Lec 1
Fields Lec 1
 
Fields Lec 5&amp;6
Fields Lec 5&amp;6Fields Lec 5&amp;6
Fields Lec 5&amp;6
 
Fields Lec 4
Fields Lec 4Fields Lec 4
Fields Lec 4
 
Fields Lec 3
Fields Lec 3Fields Lec 3
Fields Lec 3
 
Lecture 2 (system overview of c8051 f020) rv01
Lecture 2 (system overview of c8051 f020) rv01Lecture 2 (system overview of c8051 f020) rv01
Lecture 2 (system overview of c8051 f020) rv01
 
Lecture 1 (course overview and 8051 architecture) rv01
Lecture 1 (course overview and 8051 architecture) rv01Lecture 1 (course overview and 8051 architecture) rv01
Lecture 1 (course overview and 8051 architecture) rv01
 

Discrete control

  • 1. ) B -> F7"*ll*;^ f'a-b + il"* t|"b,* 2*:- X A/ .7,fl-'Lr"ut^'- , o^*t4 + /1"' tf t?'"" ,a (pu,'ohJ -,fl^ /n-u- / t# ''u'arua', LtJ il LtA: /'o'-0?1'tb-ol= =u"*M: /eua u/,*'-*- f- ; /d* *yeLn"t^ fo* J. #* sfrtt* ' / l- fu tr* E/a,"'f-(* LD ; - -' a) ofi J.h-|-,L'ri V fb t/tk-"'' / ^)< a""-t y"b^- Ct) Jt d"U"J : d*-J uoo. /": A t 8.L t- 2 t"l J" =c)
  • 2. -{ cd) = ;f 'Lt + ue Lr-oe- ry'L- T^/o^ tr) /e iltu-,tJ = fl::-rr rr., J : /"7,t' L Ad r__1, alefo-"J I ) 'i C,i- -t) I ic -l): '/.[/&4-A Zt >tcg >-L ,Lt o aO n = ,/ : o+ b c::) @ dLo = ZU-) = A cil' I v+ + z @
  • 3. t2 o6 dCrl = z[w-r) W)=*+ 7 dM -Ldwi = * 1; cL.-L 1* t-*J;-lS ' + flLn ?-T'J*, = o Ct-tT ZL,-J = c) l-z--g:l = o 'I _u^ Olr- Z = C)eo ,l f,J- ?ll Jo r /L; JdJJs'"' @ "'tL'V'^'b *1r,*l- Y' & ; o,t-bs arL. r/-) C, E d- 4 fu-a{. -3J}' J-b dM = '&,,1 -4J-0e
  • 4. I4 x , ; 30 o o =o 8o - 3 )^-S/* ul. + r # = d"+ d* d. Ct+UJ -l 3 =O ..1 d.--lc) t*t. --5 w) 6 "U.t' ilax 'ila-U"'f$ /' ^)e- ^^'"tt 'L'vo'r'iz 'tl'*- sX':Le'^ i e'ttu'aD z -xJ = U:+'d.tflG-i-u.] Atuas'P ooo JXtt n^v (ft '0j*t",riV$""' fLtt-) = qdr-a) + J [lt*zX.(l'n-, lcnt = r4y,,-0 + 3J*+6J.1 {cr--tt @ tn,:o
  • 5. yw ,1 ?-'t@ = o Q-4 ?) Aw) = o :^ t_t+?-, =o * ? T-4 ?e ) s. @ 1.:o &d$^f,^.. @ f" - -l Itt'-) aw) Ti) oh--r.lr- ,4vch,-t) + c-r) + G6) Lucc'v) q lCtp-t) - z1t ut) 1 zJwi = -9 "J -rl"t"- +L- utt u'rc)'r- <- t =o =O ^% 7"=-l +1,*,: hoL,ry / /'*)t* ^A'*V'^b <1"-JY ' -Y U@) + z|wt) 3 o Auu +zT' /Lut (t+LV-) lw) l+zTl 3-q2 ooc tr+Z A O
  • 6. Em,r^y't- 6) NXrr+ r Pl'w-t) 'll,,t- *7'* L IL r' u'nu- P "",& //* C"t*';hL^ oov & lL cD -k't rhA,q -f +t* Vtle''n Jct-tr'--h,Lrn 3- AW):Yl) =d' /. = Nl. fs l:c2 70 F l: *1. qI- I t? ,t: - Ce -t) t<_ i.[rtu-ta(-D) # :9 B J. - C'c-uJ - o lv fg - 'c-tI [.-t - l()' / a,re I -Lv^n^f I Ve' tl*t- t") T; €,nsqru- L JfllX'r'ttt U = d: t'/'[ltu<) J']
  • 7. trt Tlcr') flcut aw) = nqfl'o) xL ab) oR ,Jatu7 "%'t4' (t* fr: @ t-=., 3w) @ b=1, @ k-=z- @ )<=3 I I t @k- '1. = 6- xJ' @ l.= x-l F o( J Lw -r) = ed(u-O z o(UUt--lJ
  • 8. JLU) lw r + z-dw-t ) -Z /wt *liy O.-l7t Cz-n)7l Jeth) cz-qd ?! t@) I - Cz-x) ?-[ .- T - Cz-1 :-e) =o -) l7= z-x I t t-t-,-'b L- fu shJ,q / e-4 f,* u^^b u'ril- -l {z -5 t_ -L ^ C-IJ : -Xd,t --D = Lz_q y_t) + #* lf"Aq / n*-/r---o& c2 Co
  • 9. gr ; ;lz,A,l- f Nl) I'V 'd*- 4 W tVu'bw ; ,sA^l--a'- fu tut ff % "aL (rf ry2 W- JdLlt'6^,- n,/t + z JLQ-I' ? / J'c->" u ,-l,tB-l:/: a-#^uai-(,e TTJ-.ry 7-tra'- ft^ e;t<- !l 't 'i I 6-r /cS: + : Jdco) botL tulu (Nef '^ h ucJJ + L, sLA) /**,1 : a't /LD + A' &w) , ucr) :7
  • 10. C;_at Aq) = J/'s + UV) Jw= L, J J-l L,J G) c;*Qr) + J.LA) @ + ACH - t0 n r dzLS ) : cJ4 (a-ut) L' 5 + ? : a-( A 7-l 5-a-[ h5 3- o, 3'= | + ) C-, O % f --oll w+ 2"t JrcA) dtaS = v-l + J-' j-a' t
  • 11. L-l cD + + Lt a1 l-- t laDert- | UI J : I t- b o% /to-l -l -oo Z 41 -l Lt Lt orr L-l cql l- a1 &1 -l o C6 U+CY-s = Laloloo) + lL.._^ , Lta/ cott)'l'-l @r) lr"l + a{1-t - Ur Ct') LtcLl ercr _ | V!t+-l CZ) UUI-) : lt',,tQ{r) 'o' Acal = ;fio ct ) t ucs) : Jz_ zJ Cea ct) + , L 5 Ac') <- A -cLI d r.: C|-a) CJ"-.;&4--u) 4 t)
  • 12. *i^V 'p'"'J va-!* f. e"b /T* r^trJA ilb) - O/ Ol.v O L^- 1 o Jfu. "^J occ O c6 c) OG L<a,-tza atx-&e--q!- "i4/^J t* oluas a, I J"f""*! ,*-t*^L C-o,vJ':hL s L, C{''t'tcI)) G-u) LVz- LA@A u) -+r) C>-r)U t>): ,fn B/#,Y) C Z -o rJ Caq-"> as^-,t ( r ) - r-l- Ltfsr'^c,fJ) = Uu uc|) = L, Lrrhc,) JJ CJ-"! CJt-=Jc"l+t) 1 uChs /L 'f'/L",ry'Ve
  • 13. IrJ I O l--j I Ecil z ' -1, at ,a) : J|s >+q f,*rc,(t-,h- fu -z Eq)= | u-r - l1 (il Jral -Cu Cu Lt) J+3 LE) E czt h4 cn tr(a) c7+9 Pcs) 69 ltca) Ecz) = . L.'r Kc7) G+9 a-r'.- &+'4 c)) k-cLl - 5 &-, C7+q) +G+gHcal C A+rl) s cJ+9 C fr-t)t @*,1# CT+ilt{fl oou FCAI .Z 7+i-
  • 14. 2 / r"g Ecil= 5 a cls: ? cJ") rcTS: * '21vat /ar C-7r97l)s a? ?e QJ CJ*A Q7+',t/-l) G *?) ehq) (S-t) J'1''rl'tr'rt =J i e d.J
  • 15. @ oa %J= €rd 1t Ac6) o c>o Htz.) 3*q oC/€ kt 'u ^et Tot ctg cz-Dt a,-tr vr4ffi )<6 Pw) k, G)' Ctq/ Cr-t)tl G+9+@9!zs 3+'4 ttrl @+gCa-gtft (z*:Dti*t- €t.l = J*f
  • 16. J" trJ Z c3) LS) Co) + 4q 6) C") 9u /4U ): EX^*FJ,- Cel TT,- ohL,,$ t &* ovq'-",W s1,b,r^ J rrl^,,.,Lit- g ca) k ?+ L c7*9 G*DZ^ | + e,q) Hq) k-c t+) ct*4Jz k C[+ t) t+ Lc?-t) Gca) | ("rt l? r f r-L Jo+23+ I + bJ-l-
  • 17. -A/)L''I rz,y'-J{4 -p'wul,"t'- L')-tu @ J ct) k crJ J '+ Ltqt) J + Cr- l.J Lq+t) + Ct_I-) = o L+z / C: l-L I; Mh*tb I tlJ,lrl1 ^t- /t* t/oto-,*, , t7 t u^^-h -l'-- L lrt+ 8 L 1; 4 AtL = N+tc: k kL +Cu+d
  • 18. f* ovteal.P- Jflleu4 tt 7"*' VCk) - l'lrc?trLu) + Lt+rT') QctD ET Hur^') Arz+s s sf Iu* _ff] 8" Ac [2ts, llqccy'I) CiL Tto s6 l*. A+ c?-') ' +fscT') sL'f-) t'/ 7 A t?-rl; 4o * o.?-' r F "7n) : Lc'+ L' ?'l A. (T-D i. ctcc, -[ uct 7-l lZ C?-') 1 J CT-D to n*J^i'u"- Atctr4) ? 7 ooo /l*q'-'(A KYBT ; '4u -lr-vc,4rL)iF JQCtss) =&4.?(.-) = I L/ ct) 2 €e
  • 19. J-ACAH= | ) oL<5LrtJ*.lqcrc)= | I +'ledc$z l - d<s t/z) = e -)d u% .&rh Pc?-,) = ro trJo e? ffi Ac?'t) Bc?-') + Co,+o. ,?-t) (a) + '6-.Itf 1- Lo Jo = Q<-o Cl) + bt Su Z oLC't {") f d-st Lu 1 b t4")f t,'r,.^X*L^J--(- I L &t Lt J Jt,llb^ b t,*t u'4tutXuL J*AJ:L a' lsc?-t) 5c?-') C L.+hT! t" : : 4'-c7-t1 acu * evr 7-l 4*1 . //*^ u* + ( Scf-t) = 5+ 3?-l fo epLL*- 'A c-eV-t1 ? Z Dra,7n kq-',
  • 20. E ,A fa+ BJ : a4c aeryQAB) = eeALBs) = 'lefru1') = I | =) 4- t+ dgrrd = | | 4 t+ JVcs= I A eu2t9 --a 4 Scf-U = -ro ?' d c?-1) P c?^t) + Tq-'Jsc7a) A'soY-U Ct+ ,?-') F + CS+s?^t)-fo = ?-' -*+-** c*/c./,4rr,br =enl:)av =o o I=) r c7a fc,+SJo:'o- Zro + 3Jo = I - l.:l[;]= [;] ["] = ll :l 'I;] f,uJ tz r J I le /- llc?-r) = A# E,rr,' i IT
  • 21. A n L4ouL Jiul/rd /Ar"b,t r Jo uJ<- *e- y*Jo 'h*''- 6 I 4o l4 U't- Jal'-h""- pJeuoL 1'4W/^Jz n' ,/ tal{ tuiel /1 u) t/UX lr| f _t fa6-ILCA ) = rutr( CY1^ t nJ .g u4 o .o d r=B n4 1 Vt (..) M/T //--ruv n SArl Uutt^CZ ya) : 3 rad ,v"rL A* B : nT N,q Ar) a-1 o bt o b6 e1 o(o b, -t @ at -t
  • 22. 6t"s o L'.;z^fil = fll3t4 ls, l,nt 3xl - o, 163 l Q)r +?9, I o,3 o tS o.,s I r, , o'179 I 31 3 -o'oS B uzl'7 X/+ 7e,"1. lu-u(uoJ A 3 xul f-/oA',z L Ptr+ CA) = Ytnl^C 31 4) = 3 & A ca # rb'P ''+ -l "? 4'Y z 4T C'a Ar ) .s X : A*r3 6. I 3L -s .O t? _.r,-oT3 o. l]9E A* n: f^g : -G'169 3u : o,.3of g c) aO # # a aO /L cT-t) : ^ o. lc5 + o'lTs tf
  • 23. fu,^^p"l*ca);- fl U@ f-v Ac'UPc?'')+?-ttjL?"',)sc?'l+Lc?'trc"")-A'cv) /)c7^t ): t +a, 7'l , BC7'l = Lo4,? ^l cc71 :cu1o74 c/) -CV') : qo I o.,' 7 -t + aoz- 7-L +ac'" 7'3 f^A- t-rnc,(. Tr- hro^ F+D@r,'urAL R ,5/ f-ta tof,a-.t'tfl/T'-PbLlLt7,"M-? f /b Jr'Lk;b 7p + ?^Bs +.T : A'- $cnry) ' JZCFas)= a"5ccT) = 4<6crk')- s Jz- ryc'ztz) ' 4 ) evcA -t a2 04 = 3 )+ a"7Cr-J :S I "5 .3 L+ f2c.V-'1 = ra+n?4 + A7'' ooo ,ftC Z-r Bs) t J a rZcf) 147c8) + J2 CsJ:S-, I + t+^1 Cs)= s -) ola lt JCV-| : Jo-t{tTl ooo -("+ TcT! c t"+ t,V-l 4 h7-a ooo a"A C cT) : S J -!eAcc) aJ"'5C r) = 3 t+ fucfl 3 s -) ficr)
  • 24. o eq & /4c?'9 {zE1) + f-t [cf'! sc7'9 + e-c?'9 7r?! .4.cf)@ (t * ctr ?-, C ra+ r,T-/ 4 rt79 + Vl Cboabt T'g Cstst?1) + C."t ctT-) ( i" + tr?.1 + tr?-.) = qal Q.r 7-acviz+*rit Ltlvrzl';*'-f t'e + GLu 2 qco - tt) n + o,1 ro + boJulG lCrfc, =cLct 41t^t + rL + Lr Joi LoSl + c1 [y *cota @) 4-1 h + Lt Sr + abz- = = cl"cy CsJ tq-l C)o'eoeoer I o bu o cl co ct1 | Ut bo o c,l Oc1 q>b1 oo r{x l A il q/8 tao'bnx f"-,'u/ 7t*^"lo /iveu?J lb^'lL C,lt) : LLu'tn ( q t S) = t-.1 I eLr o o_- "1 :.il c' j q^g Qct tBx, of co Q.l qCr Qca BA A{) frfu raa "o" AX : Ar 6,AAD I
  • 25. Qc[) tlco frt) ' C_cD AMH(n z+! ACD l 4Dtt c,-rr) <- d(s) GCO fut) [+- cu7l]cV)- lc Ca'-r) ca+r)L lc-c7+r) ra +)Lt.f;?-r) r+ I i I I J