30105-2003 การวิเคราะห์วงจรอิเล็กทรอนิกส์ความถี่สูง

93
2.



2.2.2 ก


#$!
%&&'
ก
#( +,
ก+

"

ก % . X C G , X X (% ก ! 0 Ω C C <
rss
iss
C
C
D
S

ก #
%&$ "
,% 2.21
V g V
m
E g


Z Z Z Z
in i o out
,% 2.21 //0 ก !
ก ,% 2.19


2.2.2.1 ก
)
#
*
g
m
ก , g (/ (,5
" % ! I DSS ,V
V
m
GS
P
ก ก (1.20)
2I  V 
g = DSS  1− GS 
m
V P  V P 
,
2.23 ก ,% 2.19 , g
m

2I  V 
- .
ก ก (1.20) g = DSS  1− GS 
m
V P  V P 
* % I = 7.843 mA,V = − 5 V,V = − 1.465 V;
DSS P GS
×
×
2 7.843 10 − 3  − 1.465  − 3
×
g = − 5   1− − 5   = 3.137 10 × 0.707 = 2.217 mS
m
g = == = 2.217 mS
m
2.2.2.2 ก
)
#
*
Z (+# Z
in
i
2.2.2.2.1 Z - & 3
"
( " . (ก ก !ก * %&$
i
R
,% 2.21 " ก
GG
Z = ∞ . - Z = (,G (2.49)
i
i
2.2.2.2.2 Z - & 3
"
( " . (ก ก !ก
in

,% 2.21 " ก

R R
Z = R = G 1 G 2 (2.50)
in GG + )
R
( G 1 R G 2
ก

ก
ก

94
2.



2.2.2.3 ก
)
#
*
Z (+# Z
o
out
2.2.2.3.1 Z - & 3
"
ก . (
ก !ก %&$
o
R R
- . ก (
& ก g V "
%
. -

( ) %
"

∞
D
L
m
(,G
,% 2.21
Z = ∞ (2.51)
o
2.2.2.3.2 Z - & 3

ก . (
ก !ก "
"
out

,% 2.21

Z out = { o ( R R L )}
Z
D
R R
* % Z = ∞ , R = ( R R ) = D L ;
o
D
out
L
( R + R L )
D
R R (2.52)
D L

$
Z = R = ( R R ) =
out out D L
( R + R L )
D
,
,
2.24 ก ,% 2.19 , Z Z , Z Z
i in o out
- .
ก ก (2.49) Z = ∞
i
3
×
×
R R 590 10 × 47 10 3
ก ก (2.50) Z = R = G 1 G 2 = = 43.532 kΩ
in GG
( R G 1 + R G 2 ) ( 590 10 + 47 10 3 )
×
3
×
ก ก (2.51) Z = ∞
o
1.8 10 × 2 10 3
×
×
3
ก ก (2.52) Z out = R out = ( R R L ) = ( 1.8 10 + 2 10 3 ) = 947.368 Ω
D
3
×
×
Ω
Z = ∞ ∞= ∞ ∞ , Z in = = = = 43.532 k , Z = ∞ ∞Ω Ω o == ∞ ∞ , Z out = = = = 947.368 ;
=
= =
Ω Ω
Ω Ω Ω
i
2.2.2.4 ก
)
#
*
A
V (F Mid )
A V (F Mid ) -

ก . V E
o
i
,% 2.22 " ก
G D
I i I = 0 I d
R g g g V
V m
E i R GG R D R L V O
E
g
S
Z Z Z Z
in i o out
,% 2.22 , A V (F Mid ) (/
ก

ก
ก

95
2.




ก "
ก V = I Z
d
o
out
(
- ก I = g V
d m
V = g VZ
o m out
(
- ก V =
E
i
V = g E Z
m i out
o
ก "
( " E =
V
i
V o (2.53)

$
A = − = − g Z
V (F Mid ) E i m out

E = I i ( R + Z in )
g
g
E g
I =
i
( R + Z in )
g
E Z
g in
E = I Z =
i
i in
( R + Z in )
g
E i = Z in
E ( R + Z )
g g in
V o V o E i Z in
A V (F Mid ) = − E g = − E i × E g = − g Z × ( R + Z in )
m out
g
V o V o Z in Z in

$
A V (F ) = − = − × = − g Z × (2.53a)
m out
Mid
E g E i ( R + Z in ) ( R + Z in )
g
g
V o V o
,
2.25 ก ,% 2.22 , A V (F Mid ) = − A V (F Mid ) = −
E
i E g
= −
V
o
- .
ก ก (2.53) A V (F )
Mid
E i
)
V o − 3
×
A = − = − g Z = − ( 2.217 10 × 947.368 = − 2.10
V (F Mid ) m out
E i
V o V o Z in Z in
ก ก (2.53a) A V (F ) = − = − × = − g Z ×
m out
Mid
E g E i ( R + Z in ) ( R + Z in )
g
g
×
V o 43.532 10 3
×
A = − = − 2.10× = − 2.10 0.998 = − 2.095
V (F Mid ) 3
×
+
E g ( 75 43.532 10 )
V o V o 2.095;
== =
= − −− −
= − −− −
== =
A V (F Mid ) == = E i = − −− − 2.10, A V (F Mid ) = − −− − E g == =
ก

ก
ก

96
2.



2.2.3 ก


#$!
%&&'
ก
#( +,
,
.


2.2.3.1 ก
)
#
*
F
( L C G )
-
"
#
กก .
* C ก ,% 2.23 ( - E
F ( L C G ) G g
"

(% ก ! F ( L C G ) % . X (% ก ! R FLCG
, F ( L C G ) " ก ก
C
G

R
FLCG
I = 0 I
g d
V g V
m
E
g

,% 2.23 , F ( L C G ) (/


X C G = R FLCG

1
(
- ก X C G = π
C
2 F
L C ) G
( G
1 = R FLCG
"
π
2 F
L C )
( G
1

$
F ( L C ) = (2.54)
π
G
C
2 R FLCG G
# (,5
"
%
% (
C
ก , R FLCG G
,% 2.24 " ก
R FLCG = R + R
GG
g
R = R + R
R FLCG FLCB g GG


E g




,% 2.24 , R FLCG (/


2.2.3.2 ก
)
#
*
F
( L C S )
F ( L C S ) -
"
#
กก .
* C ก ,% 2.25 ( - E
S
g
"

(% ก ! F % . X (% ก ! R
, F " ก ก
( L C S ) C S FLCS ( L C S )
ก

ก
ก

97
2.





I = 0 I d
g
V g V
m
E g




R
FLCS
,% 2.25 , F ( L C S ) (/


X C S = R FLCS
1
(
- ก X =
C S π
2 F
C
L C ) S
( S
" 1 = R FLCS
π
2 F C
L C ) S
( S
1

$
F ( L C ) = (2.55)
π
S 2 R FLCS C S
ก , R FLCS # (,5
"
%
% (
C * (,5
S
"
%
. ก !ก
,% 2.26



(1)
E g
G D
I = 0 I
g
m
R g V g V
R out V O 1
R GG R = S
o
g m
S
E g
E

,% 2.26 , R (/
o
ก ,% 2.26 ก , R % ก !ก * E ( " .

o
"
ก !ก E
ก )"
V % . g V (ก& ก I . ก
"
m
I = g V
m
( - V =
E
I = g E
m
(
- ก E = R
o
I
ก

ก
ก

98
2.




E E 1
R = = =
o
I g E g m
m
1

$
R = (2.55a)
o
g
m
R FLCS


1
R =
o
g m R
R FLCS = ( S R o ) = S
R
+
(1 g R )
m s


,% 2.27 , R FLCS
ก ,% 2.27 " ก

R S
R FLCS = ( R R o ) =
S
(1 g R+ m S )
2.2.3.3 ก
)
#
*
F
( L C D )

F ( L C D ) -
"
#
กก .
* C ก ,% 2.28 ( - E
D
g
"
"

(% ก ! F % . X (% ก ! R
, F ก ก
( L C D ) C D FLCD ( L C D )
X = R
C D FLCD
1
(
- ก X C =
π
D
2 F C
L C ) D
( D
1 = R
"
2 Fπ C FLCD
L C ) D
( G
1 (2.56)

$
F ( L C D ) =
2 Rπ
C
FLCD D
R
FLCD
I = 0 I d
g
V g V
m
V o
E g

,% 2.28 , F ( L C D ) (/


ก , R FLCD # (,5
"
%
% (
C
D
,% 2.29 " ก

ก

ก
ก

99
2.




R
R = R +
FLCD D L
g V R = R + R )
m
D C D FLCD ( D L


R D R L R D C D

R L
S
R FLCD
(/
,% 2.29 , R
FLCD

,
2.26 ก ,% 2.21 , F ( L C G ) , F ( L C S ) F ( L C C )
1
- .
ก ก (2.54) F ( L C G ) =
π
2 R
C
FLCG G
=
Ω
+
Ω
×
* % R GG = 43.532 k , R FLCB = ( R + R GG ) ( 75 43.532 10 3 ) = 43.607 k ;
g
C = 100 pF
G
1 1
F ( L C ) = =
G 2 R FLCG G 2 3.14 43.607 10 × 100 10 − 12
π
×
3
×
×
×
C
F ( L C G ) = 36.516 kHz
1
ก ก (2.55) F ( L C S ) = 2 R FLCS C S
π
R S 750 281.663 Ω
* % R = = =
FLCS
(1 g R+ m S ) 1+ ( 2.217 10 − 3 × 750 )
×
1 1 5.653 kHz
F ( L C S ) = = − 6 =
π
×
×
×
×
2 R
FLCS C S 2 3.14 281.663 0.1 10
1
ก ก (2.56) F ( L C ) =
π
D 2 R FLCD C D
×
3
×
=
* % R FLCD = ( R + R L ) ( 1.8 10 + 2 10 3 ) = 3.8 kΩ
D
1 1
F = = = 891.577 Hz
( L C D ) 3 − 6
π
×
×
×
×
2 R FLCD C D 2 3.14 3.8 10 × 0.047 10
F ( L C ) = = = = 36.516 kHz, F ( L C ) = = = = 5.653 kHz, F ( L C ) = = = = 891.577 Hz;
G S D
2.2.3.4 ก
)
#
*
F
L

* 3& ก
F ( L C G ) , F ( L C S ) F ( L C D ) %
) (,5

F
L

ก

ก
ก

100
2.



,
2.27 ก ,% 2.21 , F
L
- .
F ( L C G ) = 36.516 kHz, F ( L C S ) = 5.653 kHz F ( L C D ) = 891.577 Hz



F - F ( L C ) = == = 36.516 kHz
L
G
2.2.3.5 ก
)
#
*
A V (F L )



R FLCG
I I
i d
V g V
m
E
g


,% 2.30 , A (/
V (F L )

A V (F L ) -

"
.
V E g
o
*
ก ! ) * C
,% 2.30
G
( - E
(% ก ! F ( L C G ) % ." X (% ก ! R FLCG
$
C
g
G
( - R FLCG (% ก ! R " ก "
( "
GG
 1   1 
E = I R +  + I R = I R + + R
g i  g i GG i  g GG 
ω
ω
 J C G   J C G 

 1   + ω G ( R + R GG ) 

1 J C
g
E = I R + R +  = I 
g i   g GG J C G  i  J C
ω
ω


 G 
ω
E J C
I = g G
{ 1 J C+ ω G ( R + R GG )}
i
g
ω
E J R GG G
C
g
V = I R =
{ 1 J C+ ω G ( R + R GG )}
i GG
g
ก "
ก V = g VZ
out
o
m
ω
C
E g Z J R GG G
g m out
V = { )}
o
ω
+
1 J C G ( R + R GG
g
ω
C
V o g Z J R GG G
m out
A = − = −
V (F L ) E g { 1 J C G ( R + R GG )}
ω
+
g
1 ;
(
- ก X = , R = R + R
C G FLCG g GG
R
FLCG
1 = R
ω C G FLCG
ก

ก
ก

101
2.




1 1
ω
C = =
G
R FLCG ( R + R GG )
g
1
%
Cω G =
( R + R GG )
g
V o
A = −
V (F L )
E
g
g Z JR GG 1
m out
×
A V (F L ) = −  ( R + ) ( R + R )


+

 1 J g R GG  g GG
 ( R + R GG ) 


g
g Z JR GG g Z R 90
m out GG
m out
A = − = −
V (F L )
( R + R GG )(1 J+ ) 1 ( R + R ) ( ) 1 2 + ( ) 1 2 tan − 1 1
g
g
GG
1
)


90 −
g Z R (0.707 g Z R
45
90
m out GG
m out GG
A V (F L ) = − 45 = − )
( R + R GG ) 2 ( R + R GG
g
g
V o 45 R GG
)
A V (F L ) = − = − (0.707 g Z × )
m out
E g ( R + R GG
g
V o R GG
(
- ก A V (F Mid ) = − E g = − g Z × ( R + R GG )
m out
g
V o
45
A V (F L ) = − = 0.707A V (F Mid ) (2.57)
E g
V o
,
2.28 ก ,% 2.21 , A V (F L ) = −
E
g
V o
- .
ก ก (2.57) A V (F L ) = − = 0.707A V (F Mid ) 45
E
g
V o
)
−
A V (F L ) = − E g = (0.707 )( 2.095 = − 1.481 45
V o
= − −− −
= − −− −
A V (F L ) == = E g == = 1.481 45
2.2.4 ก


#$!
%&&'
ก
#( +,
,
2.2.4.1 ก
)
#
*
F
H
F -
"
# C
"

ก ! C
H rss iss
ก (,5
C (% ก ! (C iss + C g R ) ก

,% 2.31 2.32
rss m out
T
ก

ก
ก

102
2.





G C rss D
I g I d
R g
V g V
m
C iss R out V O
R GG
E g E i
S

,% 2.31 //0 ก !
"

C = C iss + C rss m out
g R
T
I i
V g V
m
E g



,% 2.32 //0 ก !
"
, !! C
T

ก ,% 2.32 ( - E
(% ก ! F % . X (% R
"
C
g
FH
H
T
ก ,% 2.33 (,5
ก , R
, F " ก ก

FH
H
X = R
C T FH
1
(
- ก X C =
π
T
2 F C
H T
" ก 1 = R
π
2 F C FH
H T
1

$
F = (2.58)
H
π
2 R C
FH T
R R
g GG
R FH = ( R R GG ) =
g
( R + R GG )
g
C = C iss + C rss m out
g R
T
V g V
m
C T
E
g
R FH = ( g R GG )
R
,% 2.33 , R (/
FH
,
2.29 ก ,% 2.21 , F
H
1
- .
ก ก (2.58) F = 2 Rπ C
H
FH T
ก

ก
ก

103
2.




×
×
R R 75 43.532 10 3 R R
g GG
Ω
Ω
* % R = = = 74.871 , R = D L = 947.368 ;
FH ) ( 3 out )
( R + R GG 75 43.532 10 ) ( R + R L
+
×
D
g
)
×
×
C = C + C g R = 4 10 − 12 + ( 1 10 − 12 × 2.217 10 − 3 × 947.368 = 6.100 pF
×
T iss rss m out
1 1
F = = = 348.655 MHz
H
π
×
×
×
×
C
2 R FH T 2 3.14 74.871 6.100 10 − 12
=
F == = 348.655 MHz
H
2.2.4.2 ก
)
#
*
A V (F H )

-

"
.
V

A V (F H ) o
E ก ,% 2.32 " ก
g
 R 


E = I R + I GG 
g i g i  + ω
C
  (1 J R GG T )  
 ( R + R ) + J R R C 
ω

g GG T 
E = I i  g GG 
g
C
 (1 J R+ ω GG T ) 


ω
+
C
E g (1 J R GG T )
I =
i
( R + R GG ) + J R R C
ω
g GG T
g
E R
g GG
V =
( R + R GG ) + J R R C
ω
g
g GG T
V = g VZ out
o
m
E g Z R
g m out GG
V =
o
ω
( R + R GG ) + J R R C
g
g GG T
V o g Z R
m out GG
A V (F H ) = − = −
E
C
g ( R + R GG ) J R Rω+ g GG T
g
1 R R
g GG
(
- ก X C = , R FH = ;
T
R FH ( R + R GG )
g
1 =
ω C R FH
T
1 ( R + R GG )
g
ω C = =
T
R FH R R
g GG
( R + R GG )
g
%
Cω T =
ก A V (F )
R R H
g GG
ก

ก
ก

104
2.




V o g Z R
m out GG
A V (F ) = − = −
H
E g ( R + R GG )
g
( R + R GG ) + JR R
g GG
g
R R
g GG
V o g Z R
m out GG
A V (F H ) = − = − )
E g ( R + R GG ) + J ( R + R GG
g
g
g Z R
m out GG
A V (F ) = −
H ( R + R GG )(1 J+ ) 1
g
V o
A V (F H ) = −
E
g
g Z R
m out GG
A = −
V (F H ) 1
( R + R GG ) ( ) 1 2 + ( ) 1 2 tan − 1
g
1
g Z R
m out GG
A V (F H ) = −
45
( R + R GG ) 2
g

0 −
0.707g Z R
45
m out GG
A = −
V (F H ) )
( R + R GG
g
R GG − 45
A V (F H ) = − 0.707g Z × )
m out
( R + R GG
g
V o R GG
(
- ก A V (F ) = − = − g Z ×
m out
Mid
E g ( R + R GG )
g
V o − 45
A V (F H ) = − = 0.707A V (F Mid )

$
E g (2.58a)
,
2.30 ก ,% 2.21 , A V (F H )
V o
- .
ก ก (2.58a) A V (F ) = − = 0.707A V (F ) − 45
H
E g Mid
V o
A V (F ) = − = (0.707 )( 2.095− ) = − 1.481 − 45
H
E g
V o − −− −
== =
= − −− −
A V (F H ) = − −− − E g == = 1.481 45
2.2.5 ก
ก(



&


+#
Q ( (/ (! 2SK33 !!' ( +
(EGC 451)
1
Ω
C = 5 pF,C = 1.2 pF,V = − 4 V, I = 4-10 mA, BV = − 25 V, R = 75 ,
iss rss P DSS GSS g
P = 310 mW,V DD = 20 V, R = 1.5 k , F ≤ 1 MHz, F ≥ 250 MHz;( - ก I DSS = 8 mA
Ω
L
L
H
D
ก

ก
ก

105
2.










Q 1
V o
E g



,% 2.34

* '"(/ % '" ก !!



,C ก
ก(

 V  2
ก ก (2.46) I = I 1− GS 
D DSS 
 V P 

I D =  1− V GS   2

I DSS  V P 
V GS
I I = 1−
D DSS
V P
V GS = 1− I D I DSS
V P
V = V ( 1− I I )
GS P D DSS

"
ก .
. I = 0.5I DSS (3- ก
ก ก !! (,5
ก ก .
) %

' $
(
D

V GS = V P ( 1− 0.5I DSS I DSS )

V = V (1 0.707− ) = 0.293V
GS P P

V = V (1 0.707− ) = 0.293V
GS P P
I =

$
V GS = 0.293V ( - ( D 0.5I DSS ) (2.59)

P
2I DSS  V GS 
ก ก (1.20) g =  1− 
m
V P  V P 
(
- ก V GS = 0.293V
P
2I  0.293V  2I DSS (1 0.293− )
g = DSS  1− P  =
m
V P  V P  V P
2I DSS (1 0.293− ) 1.414I
g = = DSS
m
V P V P
ก

ก
ก

106
2.




1.414I
I =

$
g = DSS ( - ( D 0.5I DSS ,V GS = 0.293V P ) ; (2.60)
m
V P

2.2.5.1 ก
ก.
$ F .

&
* ก .
) %

' $
(



* ก .
V R S = 2 V GS = 2 0.293V
P

V R = 0.586 V (2.61)
P
S
V = 0.5V (2.62)
DS DD


V
V R D = V DD − ( DS + V R S ) (2.63)

2.2.5.2 ก
)
#
*
R , R , R (+# R
D S G 1 G 2

ก ก (2.63) V = V − V + V )
R D DD ( DS R S
V R = I R
D D
D
V R
R = D (2.64)
D
I
D
ก ก (2.61) V = 0.586 V
R S P
V R 0.586 V
R = S = P (2.65)
S
I D I D
"
ก .
." R = 47 kΩ ((,
, )
G 2
ก ก (2.42) V R G 2 = V = V GS + V
G
R
S
ก ก (2.59) V = 0.293V ก (2.61) V = 0.586 V
$
GS P R S P
V R G 2 = V = 0.293V + 0.586 V ( - (/ ' ( +
(2.65a)
P
G
P
V = V = 0.293V − 0.586V ( - (/ ' 3 (2.65b)
R G 2 G P P
(
- ก I =
G 0
V DD = V R G 1 + V R G 2

V DD = ( I R G 1 + R G 2 )

V
I = DD
(R G 1 + R G 2 )
ก

ก
ก

107
2.




V R V R V
-
I = G 2 . - I = G 1 . I = DD (
- ก R R
)ก ก
1
G
2
G
R G 2 R G 1 (R G 1 + R G 2 )
V R G 1 = V DD − V R G 2
V − V
R = DD R G 2
G 1
I
V R
* ( - ก I = G 2
R G 2
V
V DD − V R ( DD − V R ) R G 2
R = G 2 = G 2
G 1
I V R
G 2
V − V ) R
( DD R G 2 G 2 (2.66)

$
R =
G 1
V R G 2

,
2.31 ก ,% 2.34 ก , R , R R R
,
D S G 1 G 2
−
- .
ก ก (2.61) V R S = 0.586 V P = 0.586 4 = 2.344 V
=
×
ก ก (2.62) V DS = 0.5V DD = 0.5 20 10 V
ก ก (2.63) V = V − V + V ) = 20 − (10 2.344+ ) 7.656 V=
R D DD ( DS R S
"
ก .
. I = 0.5I = 0.5 8 10 − 3 = 4 mA
×
×
D DSS
V R 7.656
ก ก (2.64) R = D = = 1.914 kΩ
D − 3
×
I D 4 10
V R 2.344
ก ก (2.65) R = S = = 586 Ω
S
×
I D 4 10 − 3
ก .
." R G 2 = 47 kΩ
ก ก (2.65a) V = V = 0.293V + 0.586 V ((H3 (/ ' ( +
)
R G 2 G P P
V = {0.293 ( )} ( 0.586 4− 4 + − ) 1.172 V=
R G 2

V − V ) R ) × 3
( DD R G 2 G 2 (20 1.172 47 10−
ก ก (2.66) R G 1 = = = 755.047 kΩ
V R 1.172
G 2
R = == = 1.914 k , R = =Ω Ω S = = 586 , R G 2 = = = = 47 k , R G 1 = = = = 755.047 k ;
Ω
Ω Ω Ω
Ω Ω Ω
Ω
Ω
Ω Ω Ω
Ω Ω
D
2.2.5.3 ก
)+



$ )D


E
'" % A-1
; <
ก ก.
R = 1.914 kΩ (,5
4
R = 2 kΩ
D
D
ก

ก
ก

108
2.




R = 586 Ω (,5
4
R = 560 Ω
S
S
R = 755.047 kΩ (,5
4
R = 750 kΩ
G 1 G 1
R G 2 = 47 kΩ (,5
4
R G 2 = 47 kΩ

2.2.5.4 ก

F .

&

V DD
ก ก (2.45a) I =
DSS
R + R
D S
2
− b ± b − 4ac
ก ก (2.48) V =
GS
2a
I R  2I R 
R −
* % a = DSS S , b =  1− DSS S  , c = I DSS S V G ;
V ) 2  V P 
( P
 V  2
ก ก (2.46) I = I DSS  1− GS 
D
 V P 
ก ก (2.45) V DD = I R + V DS − I R
D D
D S
I R +
V DS = V DD − ( D D I R )
D S
∗. (. ) I % ! " - I ± 0.5 mA
V % ! " - V DS ± 0.5 V
DS
D
D
,
2.32 ก ,% 2.34 ! %
(/ ( - '" "
%
4
)
V DD 20 7.812 mA
- .
ก ก (2.45a) I = = =
DSS
R + R ( 3 )
×
D S 2 10 + 560
×
×
R
V DD G 2 20 47 10 3 1.179 V
ก ก (2.44) V R = V = = =
G
G 2 ( R G 1 + R G 2 ) ( 750 10 + 47 10 3 )
3
×
×
2
− b ± b − 4ac
ก ก (2.48) V =
GS
2a
×
I R 7.812 10 − 3 × 560
* % a = DSS S = = 0.273
−
V ) 2 ( ) 4 2
( P
×
×
 2I R  2 7.812 10 − 3 × 560
b =  1− DSS S  = 1− = 3.187
 V P  − 4
)
=
=
×
c = ( I DSS S V G ) ( 7.812 10 − 3 × 560 − 1.179 3.195
R −
)
2
×
×
2
− b ± b − 4ac − (3.187 ± (3.187 ) − (4 0.273 3.195 )
V GS = =
×
2a 2 0.273
− (3.187 +
) 2.582
V GS 1 = = − 1.108 V
0.546
− (3.187 ) 2.582−
V GS 2 = = − 10.565 V
0.546
ก

ก
ก

109
2.




V = V = − 1.108 V
GS GS 1
 V  2 3  − 1.108  2
×
ก ก (2.46) I = I DSS  1− GS  = 7.812 10 −  1−  = 4.083 mA
D
 V P   − 4 
ก ก (2.45) V DD = I R + V DS + I R
D D
D S
I R +
V DS = V DD − ( D D I R )
D S

×
×
+
V DS = 20 − ( { 4.083 10 − 3 × × 3 ) ( 4.083 10 − 3 × 560 )}
2 10
V = 9.547 V
DS
= − −− −
=
) %
(/ V GS == = 1.108 V, I == = 4.083 mA V DS = == = 9.547 V
D
2.2.5.5 ก
)
#
*
C G , C (+# C
S
D

"
* ก .
. C ! ) ก
"
G
1
ก ก (2.54) F =
( L C G )
π
2 R FLCG G
C
$


C = 1 (2.67)
G
2 Rπ FLCG F ( L C G )
1
ก ก (2.55) F ( L C S ) = 2 Rπ FLCS C S
1

$
C = (2.68)
S
π
2 R FLCS F ( L C )
S
* % R FLCS = 0.5 Ω
1
ก ก (2.56) F =
( L C D )
π
C
2 R FLCD D
1

$
C = (2.69)
D
π
2 R F
FLCD ( L C D )
,
2.33 ก ,% 2.34 , C G ,C C
D
S
1
- .
ก ก (2.67) C =
G
π
2 R F
FLCG ( L C G )
3
×
×
R R 2 750 10 × 47 10 3 44.228 kΩ
1 G
G
* % R = = =
GG
×
×
( R G 1 + R G 2 ) ( 750 10 + 47 10 3 )
3
3
+
×
R FLCG = R + R GG = 75 44.228 10 = 44.303 kΩ
g
F = F = 1 MHz
( L C G ) L
ก

ก
ก

110
2.




1 1
C = = = 3.594 pF
G 3 6
π
×
×
×
×
2 R FLCG F ( L C G ) 2 3.14 44.303 10 × 1 10
1
ก ก (2.68) C =
S
π
2 R FLCS F ( L C )
S
Ω
* % R FLCS = 0.5 , F ( L C S ) = F = 1 MHz;
L
1
C = = 0.3184 µF
S
×
×
× ×
2 3.14 0.5 1 10 6
1
ก ก (2.69) C =
D
π
2 R FLCD F ( L C D )
3
3
Ω
×
×
* % R FLCD = R + R = 2 10 + 1.5 10 = 3.5 k , F ( L C D ) = F = 1 MHz;
L
D
L
1
C = = 45.495 pF
D 3 6
2 3.14 3.5 10 × 1 10
×
×
×
×
C = == = 3.594 pF, C = == = 0.3184 µF, C = == = 45.495 pF;
S
G
D
2.2.5.6 ก
)+
, กG )
# F $ )D


E
C = 3.594 pF (,5
4
C = 3.9 pF ( &ก
G
G
C = 0.3184 µF (,5
4
C = 0.33 µF %
%
S S
C = 45.495 pF (,5
4
C = 47 pF ( &ก
D
D
2.2.5.7 ก

F (+# F
H
L
1
ก ก (2.54) F =
( L C G ) 2 Rπ FLCG G
C
1
F = F =
L ( L C G ) 2 Rπ FLCG G
C
1
ก ก (2.58) F =
H
π
2 R FH T
C
∗. (. ) F % ! " - ก . (% ก ! % ก .
-
"
L
"
F % ! " - ก . (% ก ! % ก .
-
H
,
2.34 ก ,% 2.34 ! F F
H
L
1
- .
ก ก (2.54) F ( L C G ) =
π
2 R
C
FLCG G
1
F = F =
L ( L C G ) π
2 R
C
FLCG G
ก

ก
ก

111
2.



3
×
×
R R 2 750 10 × 47 10 3 44.228 kΩ
1 G
G
* % R = = =
GG
×
×
( R G 1 + R G 2 ) ( 750 10 + 47 10 3 )
3
3
+
×
Ω
R FLCG = R + R GG = 75 44.228 10 = 44.303 k , C = 3.9 pF;
G
g
1
F = F ( L C G ) = 2 3.14 44.303 10 × 3.9 10 − 12 = 921.600 kHz
L
×
×
×
3
×
2I DSS  V GS 
ก ก (1.20) g =  1− 
m
V P  V P 
* % I DSS = 7.812 mA,V = − 4 V,V GS = − 1.108 V;
P
×
×
2 7.812 10 − 3  1− − 1.108 
g =
m − 4   − 4  
g = 3.906 10 − 3 × 0.723 2.824 mS
×
=
m
1
ก ก (2.58) F =
H
π
C
2 R FH T
3
×
×
R R 2 750 10 × 47 10 3
G
1 G
* % R = = = 44.228 kΩ
GG ) 3 3
×
×
( R G 1 + R G 2 ( 750 10 + 47 10 )
×
×
R R 75 44.228 10 3
g GG
R = ( R R ) = = = 74.873 Ω
FH g GG ) ( 3
( R + R GG 75 44.228 10 )
×
+
g
×
3
×
R R 2 10 × 1.5 10 3 857.142 Ω
D L
R out = = =
( R + R L ) ( 2 10 + 1.5 10 3 )
3
×
×
D
)
×
C = C iss + C g R = 5 10 − 12 + ( 1.2 10 − 12 × 2.824 10 − 3 × 857.142 = 7.904 pF
×
×
T
rss m out
F = 1 = 269.071 MHz
H
×
×
×
×
2 3.14 74.873 7.904 10 − 12
F 922 kHz F 269.071 MHz # (,5
% ! "
L H
2.2.5.8 ก


A V (F ) , A V (F ) (+# A V (F )
Mid L H
V o
ก ก (2.53) A = − = − g R
V (F Mid ) m out
E i
V o V o Z in Z in
ก ก (2.53a) A V (F ) = − = − × = − g Z ×
m out
Mid
E g E i ( R + Z in ) ( R + Z in )
g
g
V o
ก ก (2.57) A V (F ) = − = 0.707A V (F ) 45
L
E g Mid
V o
ก ก (2.58a) A V (F H ) = − E g = 0.707A V (F Mid ) − 45
ก

ก
ก

112
2.




V o V o V o
,
2.35 ก ,% 2.34 ! A V (F ) = − , A V (F ) = − , A V (F ) = −
Mid E i Mid E g L E g
V o
A V (F H ) = −
E
g
2I  V 
- .
ก ก (1.20) g = DSS  1− GS 
m
V P  V P 

* % I = 7.812 mA,V = − 4 V,V = − 1.108 V;
DSS P GS
×
×
2 7.812 10 − 3  − 1.108 
g = 1− = 2.824 mS
m  
− 4  − 4 
3
×
×
R R 2 10 × 1.5 10 3 857.142 Ω
D L
Z = R = = =
out out
( R + R L ) ( 2 10 + 1.5 10 3 )
×
3
×
D
V o ( − 3 ) 2.420
×
ก ก (2.53) A V (F Mid ) = − = − g Z = − 2.824 10 × 857.142 = −
m out
E
i
×
×
750 10 × 47 10 3
3
Z = R GG = = 44.228 kΩ
( 750 10 + 47 10 3 )
in
3
×
×
V o V o Z in
ก ก (2.53a) A V (F Mid ) = − E g = − E i × ( R + Z in )
g
×
V o ( − 3 ) 44.228 10 3
×
A V (F Mid ) = − = − 2.824 10 × 857.142 × ( 3 )
+
×
E g 75 44.228 10
V o
A = − = − (2.420 0.998× ) = − 2.415
V (F Mid )
E
g
V o
ก ก (2.57) A = − = 0.707A 45
V (F L ) V (F Mid )
E
g
A = − (0.707 2.415× ) = − 1.707 45
V (F L )
V o −
ก ก (2.58a) A V (F H ) = − = 0.707A V (F Mid ) 45
E
g
V o
A V (F H ) = − = − (0.707 2.415× ) − 45
E
g
V o
A V (F H ) = − E g = − 1.707 − 45
V o V o V o
= − −− −
== =
= − −− −
== =
= − −− −
== =
A V (F Mid ) = − −− − E i = − −− − 2.420, A V (F Mid ) = − −− − E g == = 2.415, A V (F L ) == = E g == = 1.707 45 ,
V o
== =
== =
A V (F H ) = − −− − E g = − −− − 1.707 − −− − 45 ;
ก

ก
ก

113
2.



2.2.5.9 ก

F*+,กH*#
%&&'
&


V DD < BV GSS 
ก  (2.70)
I <
V DS D P D 
,
2.36 ก ,% 2.32 ! ) ก? % //0 (/


- .
ก ก (2.70) V DD < BV GSS

∴
20 V < − 25 V
I <
V DS D P D
(
9.547 4.083 10× × − 3 ) < 310 mW


∴ 38.98 mW < 310 W
(/ ( .


2.2.5.10 ก

F*+,กH*#
%&&'
,
(3- , ;
%

%
# (,5
( - ก '"
"
"

"
%
% %
ก //0 % (. * , ก ก //0 % (ก& #$
2 (%
&
2.2.5.10.1 %
ก //0 R . - P , " ก ก
R
D
D

2 V ) 2
( R
P = D (2.71a)
R D R D
2.2.5.10.2 %
ก //0 R . - P , " ก ก
S R S

2 V ) 2
( R
P R S = R S S (2.71b)


2.2.5.10.3 %
ก //0 R . - P , " ก ก
G
1
R
1
G
2 V ) 2
( R
P = G 1 (2.71c)
R G 1 R G 1
2.2.5.10.4 %
ก //0 R . - P , " ก ก
G 2 R G 2
2 V ) 2
( R
P R G 2 = R G G 2 2 (2.71d)





ก

ก
ก

114
2.



,
2.37 ก ,% 2.32 ! ) ก? % //0 "
%



2
×
=
×
×
- .
ก ก (2.71a) P R D = 2R D ( D ) ( 2 2 10 3 )( 4.083 10 − 3 ) 2 = 66.683 mW
I
R = 2 kΩ ± 5% ( - ก '"
1 W (125 mW)
D
8
2
×
ก ก (2.71b) P = 2R I ) = (2 560× )( 4.083 10 − 3 ) 2 = 18.671 mW
R S S ( D
R = 560 Ω ± 5% ( - ก '"
1 W (125 mW)
S
8
×
×
R
V DD G 2 20 47 10 3 1.179 V
ก ก (2.44) V = V = = =
R G 2 G ( R G 1 + R G 2 ) ( 750 10 + 47 10 3 )
3
×
×
=
−
V R G 1 = V DD − V R G 2 = 20 1.179 18.821 V
( 2 V R ) 2 ( 2 18.821 ) 2
ก ก (2.71c) P R = G 1 = = 0.944 mW
×
1
G
R G 1 750 10 3
R G 1 = 750 kΩ ± 5% ( - ก '"
1 W (125 mW)
8
( 2 V R ) 2 ( 2 1.179 ) 2
ก ก (2.71d) P = G 2 = = 0.05915 mW
R G 2 R G 2 47 10 3
×
R G 2 = 47 kΩ ± 5% ( - ก '"
1 W (125 mW)
8
" "
%

$
1 1
R = 2 kΩ ± 5% W, R = 560 Ω ± 5% W;
S
D
8 8
R G 1 = 750 kΩ ± 5% 1 W, R G 2 = 47 kΩ ± 5% 1 W;
8 8

2.2.5.11 ก

F*+,กH*#
%&&'
, กG )
# F


* , ก
//0 % ก & 2 (%
2.2.5.11.1 %

ก C , " ก ก
D
V C D = 2 V + V R S ) (2.72a)
( DS
2.2.5.11.2 %

ก C , " ก ก
S
V C S = 2 V S ) (2.72b)
( R
2.2.5.11.3 %

ก C , " ก ก
G

ก

ก
ก

115
2.




V = 2 V ) (2.72c)
C G ( R G 2

)
,
2.38 ก ,% 2.32 ! ) ก? % //0 (ก+!,

- .
ก ก (2.72a) V C D = 2 V + V R S ) = ( 2 9.547 2.286+ ) = 23.666 V
( DS
C = 47 pF '
& ( &ก %

ก 50 V
D
)
ก ก (2.72b) V = 2 V ) = ( 2 2.286 = 4.572 V
C S ( R S

C = 0.33 µF '
& %
% %

ก 16 V
S
)
ก ก (2.72c) V = 2 V ) = ( 2 1.178 = 2.356 V
C G ( R G 2
C = 3.9 pF '
& ( &ก %

ก 50 V
G
)
"
(ก+!,
$
C = 3.9 pF 50 V ( &ก
G
C = 0.33 µF 16 V %
%
S
C = 47 pF 50 V ( &ก
D



F)


* '"%
& (
ก ก !! ." %
ก

( -
(3& #$
% ." ก
(
- ก< C C
%

b c ′
b e ′
ก
" ก %
ก
ก C C C % .
" % ! )
,
C
B
E

"
*
ก
ก ก !! ก .
. C ! ) F
"
L
B



* '"(/ ก % "

#$
ก ! C C
iss rss
% "

ก+('
( ก !%
& (


ก ก C b c ′ , C b e ′ , C C " ,^ -
('
, & ก ( +ก( ,
rss
iss
"
ก (
"
%
*.
" . ก, & ก (3& ก #$
% . C (3&
T
ก #$
(,5
< ." F
H

______________________________








ก

ก
ก

116
2.



















































































ก

ก
ก

3








ก ก (
) ! "
#$
(
'
%& &

'
'

$
)!
- -C

,
! + , ก ( %
%ก ก
R
L
'
'

, "-
.( & (
%
, "- /(,. . !(ก01 & .# !

+ % ( 2(3 /! ก"
ก ก %
( !"- "
+4 )

- -C
3.1
R L


3.1.1







Z
E S


+ 3.1
- -C
L
R

ก + 3.1 ! 8
!ก

1
Z = (3.1)
G + 1 + J C
ω
ω
J L

! ก( ก ,.

.'

(
&3 /   1 + J C 9 ก 0 Ω % Z
ω

F
ω
 J L  R
(!/
.' !8 ,.

.'
1 R
Z = = (3.1a)
F R G L
! 8
9 !8 ,.

.' ก !ก
1 + J C = 0
ω
ω
J L

J Lω &

+
2
1 J ω 2 CL = 0
ก

ก
ก

118

3.



1 ω− 2 CL = 0


1
ω =
LC

ก ω 9 ก 2 F , F 9 !8 ,.

.'
π
R R

1
F = (3.1b)
R
2π LC

!8 &
+;
9 !8 "
  1 + J C ! 9 9 ก G , J Cω !
ω

ω
 J L 

9 ! กก 9 1
$
< !   1 + J C 9 ก JG % Z +;
9 (!/
.'
ω

ω
ω
J L  J L  F H
% !8 &

$

1 1 1
Z = = =
F H G + JG G + 2 − 1 G 2
45
G
2
G tan G
−

45
Z F H = 0.707R L (3.1c)

!8 &
& % "
  1 + J C ! 9 9 ก G , 1 ! 9 ! กก 9
ω

ω
ω
 J L  J L

J C "
< !   1 + J C 9 ก − JG
ก 1 9 ก − J % Z +;
ω
ω

ω
ω
 J L  J L ω L F L

9 (!/
.' % !8 &
&

1 1 1
Z = = =
−
F L G − JG G + 2 tan − G 2
45
G
−
1
2
G G

45
Z F L = 0.707R L (3.1d)
3.1.2
"# $
ก &'(
( )
Q
'

9 & + %ก ) 3 /
9 (& 0ก &


ก + 3.1
! 8+ %! 9 ก !ก

2 2
E X E R R R
Q = S L = S × = = (3.1e)
E 2 S R X L E 2 S X L ω L
2 2
E S X C E S R R CR (3.1f )
Q = 2 = × 2 = = ω
E R X C E X C
S S
ก

ก
ก

119

3.


, Q 9 & + %ก ) 3 /


E % R
9 ก
(
00> ก % % 9 !&


ก E
S g S
X % X 9 ก &
.' L %C
L C

R 9 !&


&9 L
C ! E
S
π
ω 9 ! ? -( !)! (2 F
)

3.1.3
ก + 3.1 ! 8+ %! 9 ก !ก


F F 1
B = R = R = (3.2)
W
π
Q ω CR 2 CR
, B 9
'
'
(
W
)
R 9 !&


&9 L
C ! E ! 9 9 ก ( R R L
g
S

3.1.4
"# *
+ *
" ,
ก + 3.1 ! 8+ %! 9 ก !ก

B 1  1 1 
F = F + W = + (3.2a)
H R  
2 2π  LC 2RC 
B 1  1 1 
F = F − W =  −  (3.2b)
R
L
2 2π  LC 2RC 

"#
3.1 ก + 3.1 ก
"
R = 10 kΩ % R = 75 Ω "
+ %! 9
L
g
ก. 9 C

( ' 200 kHz . 9 L % ,.

.' 10 MHz
'
- ,
ก. 9 C

' ( ' 200 kHz

1
ก !ก (3.2) B =
W
π
2 CR
1
C =
π
2 RB W
×
×
R R 75 10 10 3
g L

ก B = 200 kHz, R = = = 74.441 ;
Ω
W
( R + R L ) ( 75 10 10 3 )
×
+
g
1 1
C = = = 10.695 nF
π
×
×
×
×
2 RB W 2 3.14 74.441 200 10 3
" C = == = 10.695 nF
ก

ก
ก

120

3.


. 9 L % ,.

.' 10 MHz

1
ก !ก (3.1b) F =
R
2π LC
1 1 1
LC = , LC = , L = ;
π
π
π
2 F R (2 F R ) 2 C (2 F R ) 2

ก C = 10.695 nF, F = 10 MHz;
R
1 1
L = = = 23.708 nH
π
C ( 2 F R ) 2 10.695 10 − 9 ( 2 3.14 10 10 6 ) 2
×
×
×
×
" L = == = 23.708 nH
, L % C ก& 9 3.1 ! + %! 9
"#
3.2 "

9 R
L
ก. (!/
.' !8 ,.

.' (Z F R )

. (!/
.' !8 &
(Z F H ) . (!/
.' !8 &
& (Z F L )
)
- ,
ก. 9 (!/
.' !8 ,.

.' (Z F R
1
ก !ก (3.1) Z =
G + 1 + J C
ω
ω
J L
, L = 23.708 nH, C = 10.695 nF, R = 10 k ;
Ω
L
1 1 −
6
G = = = 100 10 S
×
×
R L 10 10 3
1 = 1 = 1 S
ω
6
×
×
×
J L J ( 2 3.14 10 10 × 23.708 10 − 9 ) J (1.48886 )
×
×
6
=
×
ω
×
×
J C = J ( 2 3.14 10 10 × 10.695 10 − 9 ) ( 671.646 10 − 3 ) S
×
J
1
Z =
×
×
100 10 − 6 + 1 + J ( 671.646 10 − 3 )
J (1.48886 )
1
Z =
×
×
+
×
J
100 10 − 6 − J ( 671.65 10 − 3 ) ( 671.65 10 − 3 )
1
Z F = Z = R = = 10 kΩ
L
R × − 6
100 10
" Z F R = = = = 10 kΩ ΩΩ Ω
. 9 (!/
.' !8 &
(Z F H )

3
×
×
ก !ก (3.1c) Z F H = 0.707R L − 45 = 0.707 10 10 = 7.07 − 45 kΩ
" Z = == = 7.07 − −− − 45 kΩ ΩΩ Ω
F H
ก

ก
ก

121

3.



. 9 (!/
.' !8 &
& (Z F L )


3
×
×
ก !ก (3.1b) Z F L = 0.707R L 45 = 0.707 10 10 = 7.07 45 kΩ
" Z F L = == = 7.07 45 kΩ ΩΩ Ω

"#
3.3 "

9 ก& 9 3.2 !
ก 0 ! !/
2' %
9 9 (!/
.'ก
!8


- ,
F = 10 MHz
R
×
B 200 10 3
6
×
ก !ก (3.2a) F = F + W = 10 10 + = 10.1 MHz
H
R
2 2
×
B 200 10 3
×
6
ก !ก (3.2b) F = F − W = 10 10 − = 9.9 MHz
L
R
2 2
=
" F = == = 9.9 MHz, F == = 10.1 MHz;
L H
Ω
Z (k )
10 kΩ
7.07 kΩ
F (MHz)
9.9 10 10.1
F L F R F H

+ 3.2 ! !/
2' %
9 9 (!/
.'ก !8



3.2 ก
#
. ,
"# $
ก &'(
"# . ,


&

! 88 ก
R &9

ก L +;
ก &

"
!
P
P



8 ก
R &9
)ก !ก L +;
ก &

"
!
)ก ! .# "


S
S
'
'

(
!

R %! < &9
( ' %& )!
' "
"
ก
P
' ' , L % R
%"- ( '!( &
Q !( & % < "
! Q L % R
Q P P P
,
S
S
S

"
+ 3.3 % % !ก

2
( ) X L X L ω L
I
S
Q = S = S = S (3.3)
S
2
I
( ) R S R S R S
S
ก

ก
ก

122

3.




( E S ) 2 X L R R
Q = P = P = P (3.4)
P
( E S ) 2 R P X L P ω L P


, Q %Q & + %ก ) 3 / &

"
!
)ก ! %

& !
S
P

I s
R S
L E
E S = E S = E S R P L P S
L S


9
+ 3.3 &

"
!& B


! Q % Q ! 9 ! กก 9 10 % "
Q = Q
S
P
P
S
X L R
Q = Q = Q = S = P
S P
R S X L P
ω L S R P
Q = R S = ω L P
ω L = QR
S S
R
ω L = P
P
Q

ก L = L % "
ω L = ω L
S P S P

R R
2
QR = P , R = P , R = Q R S ; (3.5)
S
P
S
Q Q 2

, Q 9 & + %ก ) 3 / &

! 9 ! กก 9 10

!
& &



ก &

& + %ก ) 3 / %8 ก ก Q .# %! 9


L
& ก 9 9 Q
Q
P
S
R S
R L = R = R R P L P
L S




+ 3.4 &



ก & &

"
!&9 B


ก + 3.4 &

"
!

! 8
!ก


ก

ก
ก

123

3.



( R R ) RR
Q = P = P (3.5a)
L
ω L P ( R + R P ) Lω P

, Q 9 & + %ก ) 3 / &

!
R

L
L

Ω
Ω
"#
3.4 ก + 3.4 R = 6.28 , L = 100 mH, Q = 100, R = 1 k ; + %! 9 Q
S S S L
R 2
- ,
ก !ก (3.5) R = P , R = Q R S ;
P
S
Q 2
R = Q R = ) 6.28 62.8 k= Ω
2
2
P S (100

ก Q > "
L =
10
L
P
S
S
L = L = 100 mH
S
P
ω L
ก !ก (3.3) Q = S
S
R S
Q R
ω = S S
L S
×
Q R 100 6.28
F = S S = = 1,000 Hz
π
×
×
×
2 L S 2 3.14 100 10 − 3
( R R ) RR
ก !ก (3.5a) Q = P = P
L
ω L P ω L P ( R + R P )
3
×
1 10 × 62.8 10 3
×
)
Q = ( 2 3.14 1,000 100 10 − 3 )( 1 10 + 62.8 10
L
×
×
×
3
3
×
×
×
Q = 1.567
L
" Q = == = 1.567
L

3.3 . * $

'

(
ก &
.'!( & +;

ก 0 ก.' (Flux Linkage) < (&
, +D!3 !( ! ! 00> ก %
<9
% ! 8+ %! 9 ก !ก

µ
2
L = C N (3.6)
, C 9 (& &
µ 9 !. .#! (Permeability) !9
?ก 00>
N

&

(T)
ก

ก
ก

124

3.


(
)

! + "
! & 8 9 C % µ +D!3 !( % )&( 3 !( 9 ก
)ก+ %ก


µ
L P = C N 2 P
L P = N 2 P (3.7)
µ
L S C N 2 S L S N 2 S



9

! + & ก
! 8
!)
+ & ) "- ก
% +;
!9
?ก ( -


'
&( ) ก9 ก

?ก 9
, <
?ก
ก
0 ' & ก
/ ก
$ % "
9 !

/( !

! ก #$
% ก
/ ก !9
?ก !9 ! 8 &( ก9 (
,
, % !(
! / ก
$
% 9 !
(
9


! + "
) ! & !
&ก ! +D!3 !( (E &9

)
P

9
+D!3 !( (N ) 9 ก
&ก ! )&( 3 !( (E &9

)&( 3!( (N
ก"-
)
)
P S S
0 ก.' (
! !9
?ก 00> ) ก
E P = E S (3.8)
N N
P S

< ก % (ก % )
<9
+D!3 !( (I ก

+D!3!(

)
P
9 ก < ก %
<9
)&( 3 !( (I ก

)& 3 !(
(
S )

I N = I N (3.9)
P P S S



I P I S

E P N P N S Z S E S




+ 3.5 ! !/
2'
, ก % ก



ก + 3.5 ! 8 ! !/
2'"
+ !ก
$

ก !ก (3.8) E P = E S
N P N S

ก !ก (3.9) I N = I N
S
P
P
S
ก

ก
ก

125

3.


!ก (3.8)
!ก (3.9)



E P E S
N P = N S
I N P I N S
S
P
E 1 E 1
P × = S ×
N P I N P N S I N S
P
S
E E
P = S
2 2
I N I N
P P S S

ก 9 (!/
.'
& +D!3 !( (Z 9 ก E P % (!/
.'
& )& 3 !(
9
9
(
)
P
I P
(Z 9 ก E S
S )
I S
Z P = Z S , Z = Z N 2 P ; (3.10)
S
P
N 2 P N 2 S N 2 S
"#
3.5 ก + 3.5 E = 100 V, N = 100 T, N = 20 T % Z = 100 Ω + %! 9
P P S S
, E I . Z
ก. E I % I . E I S S ; P
,
P P
P
S
S
, I % I
- ,
ก. E S S P
ก !ก (3.8) E P = E S
N P N S
×
E N 100 20
E = P S = = 20 V
S
N 100
P
E S 20
I = = = 0.2 A
S
Z S 100
ก !ก (3.9) I N = I N
S
S
P
P
×
I N 0.2 20
I = S S = = 40 mA
P
N P 100
" E = == = 20 V, I = == = 0.2 A, I = == = 40 mA;
S
P
S
. E I , E I
;
P P S S
E I = 100 0.04 = 4 VA
×
P P
×
E I = 20 0.2 = 4 VA
S S
" E I = == = E I = == = 4 VA
S S
P P
ก

ก
ก

126

3.


. Z ก !ก (3.10)
P
2 ) 2
Z N 100 (100
Z = S P = = 2,500 Ω
P 2 2
N S ( )
20
" Z = == = 2,500 Ω ΩΩ Ω
P
! !/
2' (!/
.' &9 "
+ & ก? + % )


ก !ก (3.10) Z P = Z S
N 2 N 2
P S

9 X "
Z % X "
Z
C
C
P P S S
X C P = X C S
N 2 N 2
P S
1

ก X 9 ก ω C % X 9 ก ω 1
C
C
S
P
C
P
1 1 S
ω C P = ω C S
N 2 N 2
P S
1 = 1
ω C N 2 P ω C N 2 S
S
P

ω &
1 = 1
C N 2 C N 2
P P S S

2 2
C N P = C N (3.11)
S
S
P
)
, C 9 ! ) & ก? + % +D!3 !(
P
)
C 9 ! ) & ก? + % )&( 3 !(

S
ก + 3.6 +;
ก C
& E +D!3 !(
$
9 C %ก +;
C
9
S
P
S
P
%+ %! 9 ก !ก (3.11)
E
E P P
N P N S C N 2 N P N S
C = S S
P
N 2 P

+ 3.6 ก C
&9 E +D!3 !(
S
P
ก

ก
ก

127

3.







L L
E 1 2
g
N 1 N 2

+ 3.7
"-
! +


"#
3.6 ก + 3.7 C = 2.15 nF, C = 70 pF, R = R = 75 , L = 112.58 nH, N = 10 T,
Ω
L
2
1
g
1
1
N = 2 T; + %! 9
2
ก. !8 ,.

.' %
!!

& E
9
g
(
'
.
'
- ,
ก. !8 ,.

.'
1
ก !ก (3.1b) F =
R
2π LC
, L = L = 112.58 nH
1
C = C + C = ( 2.15 10 − 9 + 2.8 10 − 12 ) = 2,152.8 pF
×
×
1 2P
1
F =
R
×
( 2 3.14× ) ( 112.58 10 − 9 × 2,152.8 10 − 12 )
×
F = 10.228 MHz
R
" F = == = 10.228 MHz
R
C
&9 E ก C +
+;
C ก !ก (3.11)
2
2
2P
g
2
C N
2 2 S S ;
C N S = C N P , C =
P
S
P
N 2 P
, C = C 2P , C = C = 70 pF, N = N = 10 T, N = N = 2 T;
1
P
S
2
P
S
2
2 × − 12 2
C N 2 70 10 ( ) 2
2
C 2P = = = 2.8 pF
N 2 1 ( ) 2
10
R
&9 E ก R +
+;
R ก !ก (3.10)
L g L LP
Z P = Z S
N 2 N 2
P S
2
Z N P
Z =
S
P
N 2 S
, Z = R ,Z = R = 75 , N = N = 10 T, N = N = 2 T;
Ω
P LP S L P 1 S 2
ก

ก
ก

128

3.


( )
R N 2 1 75 10 2
L
R LP = 2 = 2 = 1,875 Ω
N ( ) 2
2

!!

&9 E

g





E g L 1 L 2

N N 2
1
Ω
C = 2.8 pF,R = 1.875 k ,C = 2.15 nF % L = 112.54 nH
2P LP 1 1
+ 3.8 !!

&9 E
g

(
'
.
'
1
ก !ก (3.2) B =
W
π
2 CR
×
1.875 75
, C = C + C 2P = 2,152.8 pF, R = ( R LP R g ) = = 72.115 ;
Ω
1
+
1.875 75
1 1
B = =
W 2 R C + C 2P ) 2 3.14 72.115 2,152.8 10 − 12
π
×
×
×
×
( 1
B = 1.025 MHz
W
" B = == = 1.025 MHz
W

3.4 . * $ ก 1$ (Tapped Transformer)
L 2 , N 2
L , N L 3 , N 3
E 1 1
g

+ 3.9
"-
! + 8 ก ?+


ก + 3.9 &

L
$
8 ก ?+ ก +;
&

L .# &

L +;

2 1 1
+D!3 !(&

L % L +;
)&( 3 !(
2
3

"#
3.7 ก + 3.9 ก
L = 100.925 nH, L = 403.7 nH, L = 16.148 nH, N = 5 T,
1
3
2
1
N = 10 T, N = 2 T, C = 600 pF, C = 70 pF, R = R = 75 ; + %! 9
Ω
2
3
g
L
1
2
ก

ก
ก

129

3.


ก. !8 ,.

.' %
!!

& E
9
g
(
'
.
'
.V ! E = 5 V ( % ก( ก ,.

.')
g
R
P-P
L

9
- ,
ก. !8 ,.

.' %
!!

& E
g
C
&9 E ก C +
+;
C ก !ก (3.11)
2
g
2P
2
2
C N
2 2 S S ;
C N S = C N P , C =
S
P
P
N 2 P
, C = C , C = C = 70 pF, N = N = 5 T, N = N = 2 T;
P 2P S 2 P 1 S 3
×
C N 2 3 70 10 − 12 ( ) 2 2
2
C 2P = = = 11.2 pF
N 2 ( ) 5 2
1
R
&9 E ก R +
+;
R ก !ก (3.10)
L g L LP
2
Z P = Z S , Z = Z N P ;
S
P
N 2 P N 2 S N 2 S
Ω
, Z = R LP , Z = R = 75 , N = N = 5 T, N = N = 2 T;
S
P
3
P
1
S
L
R N 2 1 75 ( ) 5 2
L
R LP = 2 = 2 = 468.75 Ω
N ( ) 2
3
C
&9 E ก C +
+;
C ก !ก (3.11)
1P
1
g
1
C N 2 S ;
2
2
S
C N = C N , C =
S S P P P 2
N P
, C = C 1P , C = C = 600 pF, N = N = 5 T, N = N = 10 T;
P
2
S
S
2
P
1
×
10
C N 2 2 600 10 − 12 ( ) 2
1
C 1P = 2 = 2 = 2.4 nF
N ( ) 5
1


!!

&9 E
g
E g L 1
N
1
Ω
C = 11.2 pF, R = 468.75 , C = 2.4 nF, L = 100.925 nH;
2P LP 1P 1
+ 3.10 !!

&9 E
g
ก

ก
ก

130

3.



1
ก !ก (3.1b) F =
R
2π LC
, L = L = 100.925 nH
1
×
C = C + C = ( 2.4 10 − 9 + 11.2 10 − 12 ) = 2.4112 10 − 9 = 2,411.2 pF
×
×
1P 2P
1
F =
R
2π L C + C )
1 ( 1P 2P
1
F =
R
×
×
×
( 2 3.14 ) ( 100.9 10 − 9 × 2,411.2 10 − 12 )
F = 10.208 MHz
R
" F = == = 10.208 MHz
R
(
'
.
'
1
ก !ก (3.2) B =
W
π
2 CR
×
R LP g 468.75 75
R
Ω
, C = C + C = 2, 411.2 pF, R = ( R R ) = = = 64.655 ;
1P 2P LP g
+
R + R 468.75 75
LP g
1 1
B = =
W 2 R C + C 2P ) 2 3.14 64.655 2, 411.2 10 − 12
π
×
×
×
×
( 1P
B = 1.021 MHz
W
" B = == = 1.021 MHz
W
.V ! E = 5 V ( % ก( ก ,.

.')
g
P-P
R
L
E N
ก !ก (3.8) E = P S
S
N P
, E = V RL , N = N = 5 T, N = N = 2 T;
S
1
S
P
3
×
E R 5 468.75
g LP
E = = = 4.310 V
P
p-p
R +
+
g R LP 75 468.75
×
E N 3 4.310 2 1.724 V
P
V = = =
R L p-p
N
1 5
" V R L = == = 1.724 V
p-p

3.5

@A

+ "
#
*


$
ก + 3.11 ! 8 2( %
:-
ก

ก
ก

131

3.



'
− Q

<9
ก
T ก ?ก & +>

1
1
"
ก9T %T
ก ก $
#
2 2
9
− T
- !& E % ก ! !8 & ก !8 ,.-
g
1


.'
T +>
Q
1
1
9
− T
- !& ก
ก ?ก & +>
"
'
2
ก9 R % ก ! !8 & ก !8 ,.

.'
T
L
2
− C
/ '
+;
<9
ก (!(& & ก '
'
E

/ '
+;
<9
ก
'
− C % C
BB BP 2
− R
!&

3 "
E ! 9 + %! 50 , 75 Ω % 600 Ω
Ω
g
g
− R % C
"
+;
ก ก < C "
"-

.( & '

b c ′
n
n
"
9
!8 ก 9 !8 F 9 ! + % ( 2(3 /
β

V CC = 12 V
b
T 2
C BP1
0.02 F L 22
N 22
C CT N 32
R B1
30 kΩ L 12 N 12 L 32
a
T C
1 NPN
B Q 1
L 11 L 21
R L
R g E
75 Ω N 11 N 21 C BT 75 Ω V o
E E i
g
R E
R B2
C BB 49 kΩ 1.2 kΩ C E
0.02 F 0.02 F
R n C n
Ω
V = 0.6 V, C = 0.5 pF, F = 6 GHz, r = 5 , β = 120, C = 20 pF,
BE ob T bb′ F CT

C = 25 pF,T = 25 C, L = 1 µH, L = 1 µH, N : N = 1:1,
BT A 11 21 11 21
L 22 = 1.5 µH, L = 375 nH, L 32 = 15 nH, N 22 : N 12 : N 32 = 10:5:1;
12

'
+ 3.11
, "-
.( & (

3.5.1 ก


.
BCCD
ก
+"
, I
ก + 3.11 ! 8
00> ก % & / + %! 9 )
I
B C
%V
.( & "
+ 3.12
'
CE
ก

ก
ก

132

3.


V CC = 12 V
I C
R B1
30 kΩ C
B β F B
I
I
B Q
1
V BE = 0.6 V
E
R B2
R E
49 kΩ 1.2 kΩ I = I + I C
E
B

+ 3.12 00> ก % & + 3.11

ก + 3.13 ก !ก (2.3)

V − V )
I = ( TH BE
B
R TH + ( β + ) 1 R E
F
V CC B 2 R R 2 ;
R
1 b
B
, V = , R =
TH TH
( R B 1 + R B 2 ) ( R B 1 + R B 2 )
ก !ก (2.4) I = β I
C F B
!ก
ก V CC = V CE + (β + ) 1 I R
B E
F
V = V − ( β + ) 1 I R (3.12)
CE CC F B E




β I
F B Q 1
V CE

V BE = 0.6V



I = I + I
E B C


+ 3.13 ก + %! 9 I ก
9 ก
( V TH
B
) ' , I %V
"#
3.8 ก + 3.13 + %! 9

.( & Q I C CE
1 B
V − V )
( TH
- ,
ก !ก (2.3) I = BE
B
R TH + ( β + ) 1 R E
F
×
×
V CC B 2 12 49 10 3
R
, V TH = = = 7.443 V
3
×
( R B 1 + R B 2 ) ( 30 10 + 49 10 3 )
×
ก

ก
ก

133

3.


3
×
×
R R 2 30 10 × 49 10 3
B
1 b
R TH = = = 18.607 kΩ
×
×
3
( R B 1 + R B 2 ) ( 30 10 + 49 10 3 )
(7.443 0.6− )
I = = 41.774 µA
B
18.607 10 + ( { 120 + ) 1 1.2 10 3 }
×
3
×
ก !ก (2.4) I = β I = 120 41.774 10 − 6 = 5.012 mA
×
×
C F B
ก !ก (3.12) V CE = V CC − ( β + ) 1 I R
F
B E
×
V = 12 − ( 121 41.774 10× × − 6 × 1.2 10 3 ) = 5.934 V
CE
" )
I = == = 41.774 µA, I = == = 5.012 mA %V CE = == = 5.934 V
B
C
3.5.2 ก


.
BCCD
ก
++ #
(

, "- J - / ! "- R % C "
ก "
+;
ก ! 8 %
n
n
($ C
b c ′
3.5.2.1 ก
$

'
g , r F
m b e ′ ′′ ′ R (L 21 )
I I
c
d
c
d
ก !ก (1.9) g = C ( ) = C ( )
m )
V (k T q
T B
β
ก !ก (1.10) r b e ′ = o
g
m
T
1 r bb′
B b′ C T 2
L 11 L 21 a
N 11 N 21 C BT r b e ′ V g V
C b e ′ m b e ′
R g b e ′
75Ω E i L 12 R L(ab)
C CT(ab)
E b
g
E

Ω
V = 0.6 V, C = 0.5 pF, F = 6 GHz, r = 5 , β = 120, C = 20 pF, C = 25 pF,T = 25 C;
BE ob T bb′ F CT BT A
T 1 L = 1 µH, L 21 = 1 µH, N 11 : N 21 = 1:1;
11
T 2 L 22 = 1.5 µH, L = 375 nH, L 32 = 15 nH, N 22 : N 12 : N 32 = 10 :5 :1;
12
+ 3.14 00> ก % , "- J - /
(
ก + 3.14 ก + %! 9 F ( R L 21 ) .# ก( ก L (C BT C b e ′ ), 8
21
9 r ! 9 & % ($ ( K/ %ก
$)
bb′
1
ก !ก (3.1b) F =
R
2π LC
ก

ก
ก

134

3.



, F = F ( R L 21 ) , L = L 21 , C = (C BT C b e ′ ) C= BT + C b e ′ ;
R

1
F ( R L ) = (3.13)
21
2π L 21 (C BT + C b e ′ )

"#
3.9 ก + 3.14 + %! 9 g % r
b e ′
m
I I 5.012 10 − 3
×
( )
( )
- ,
ก !ก (1.9) g = C dc = C dc = = 195.019 mS
m
×
V T (k T q ) 25.7 10 − 3
B
β 120
ก !ก (1.10) r b e ′ = o = = 615.324 Ω
×
g m 195.019 10 − 3
Ω
Ω Ω Ω
" g = == = 195.019 mS, r b e ′ ′′ ′ = = = = 615.324 ;
m
3.5.2.2 ก
$

'
F R (L )
12
F ( R L 12 ) 9 !8 ,.

.' &
9 L ก( ก L C CT (ab) )
( 12
12
1
ก !ก (3.1b) F =
R
2π LC
, F = F ( R L 12 ) , L = L 12 ,C = C CT (ab) ;
R
1

$
F ( R L 12 ) = (3.14)
2π
L C
12 CT (ab)
3.5.2.3 ก
$

'
C CT (ab)
)
C CT (ab) & ก? + % 8 ก ก C ! +D!3 !(&
9 (ab)
CT
"
+ 3.11 % 3.14


2
2 C N
ก !ก (3.11) C N S = P P
S
2
C N
C = S S
P 2
N P
, C = C ,C = C , N = N , N = N ;
P CT (ab) S CT P 12 S 22
2
C CT N 22 (3.15)

$
C CT (ab) = 2
N 12

3.5.2.4 ก
$

'
R L (ab )
9 !&

8 ก ก R ! +D!3 !( &
(ab)
9
R L (ab) L
"
+ 3.11 % 3.14

ก

ก
ก

135

3.



ก !ก (3.10) Z P = Z S % Z = Z N 2 P
S
P
N 2 N 2 N 2
P S S
, Z = R L (ab) , Z = R L , N = N 12 , N = N 32 ;
S
S
P
P
2
R N 12
L

$
R = (3.16)
L (ab) 2
N 32

"#
3.10 ก + 3.14 + %! 9 C ( ) , R ( ) , F ) % F )
CT ab L ab R L R L
( 12
( 21
×
10
C CT N 2 22 20 10 − 12 ( ) 2 80 pF
- ,
ก !ก (3.15) C CT (ab) = 2 = 2 =
N 12 ( ) 5
R N 2 12 75 ( ) 5 2
L
ก !ก (3.16) R L (ab) = = = 1,875 Ω
N 2 ( ) 1 2
32
g m ;
ก !ก (1.16) C b c ′ = C ob , C b e ′ = − C ob
π
2 F
T
, C b c ′ = 0.5 pF
×
195.019 10 − 3 − 12
×
C b e ′ = 9 − 0.5 10 = 4.675 pF
×
×
×
2 3.14 6 10
1
ก !ก (3.13) F =
( R L 21 )
2π L (C + C )
21 BT b e ′
1
F R (L 21 ) =
(2 3.14× ) { 1 10 − 6 ( 25 10 − 12 + 4.675 10 − 12 )}
×
×
×
F = 29.231 MHz
R (L 21 )
1 1
ก !ก (3.14) F = =
( R L 12 ) 2π L C (ab) (2 3.14× ) ( 375 10 − 9 × 80 10 − 12 )
×
×
12 CT
F ( R L 12 ) = 29.072 MHz
Ω
Ω Ω Ω
" C CT (ab) = = = = 80 pF, R L (ab) = = = = 1,875 , F R (L 21 ) = = = = 29.231 MHz, F R (L 12 ) = = = = 29.072 MHz;

ก 9 F % F ! 9 "ก 29 MHz "
E ก
2
( R L 21 ) ( R L 12 ) g

$ ก9
9 "
,

R
L
3.5.2.5 ก
$

'
B (L )
W 21
B 9
' ( ' &
9 L , & 9 (C C ), R
W (L 21 ) 21 BT b e ′ gs
% r , 8 9 r ! 9 & "ก 0 Ω %& R
&9 L ก +;
R
b e ′
bb′
21
g
gs
2
R N 21
g
R gs = 2
N
11
ก

ก
ก

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3.



1
ก !ก (3.2) B =
W
π
2 CR
, B = B W (L 21 ) , C = (C BT + C b e ′ ) , R = ( R r b e ′ ) ;
W
gs
1 (3.17)

$
B =
W (L 21 ) 2 Rπ (C BT + C b e ′ )


3.5.2.6 ก
$

'
B W (L )
12

B W (L 12 ) 9
' ( ' &
9 L & 9 R L (ab) % C CT (ab)
21
1
ก !ก (3.2) B =
W
π
2 CR
, B = B W (L 12 ) , C = C CT (ab) , R = R L (ab) ;
W
1

$
B = (3.18)
W (L 12 ) 2 C CT (ab) L (ab)
π
R

"#
3.11 ก + 3.14 + %! 9 B W (L 21 ) % B W (L 12 )
2
1 R r R N 21
gs b e ′
g
- ,
ก !ก (3.17) B W (L ) = , R = , R gs = ;
π
21 2 R (C BT + C b e ′ ) R + r b e ′ N 2 11
gs
1
B W (L ) =
21
×
( 2 3.14 66.851 25 10× × )( × − 12 + 4.675 10 − 12 )
B = 80.267 MHz
W (L 21 )
1 1
ก !ก (3.18) B W (L 12 ) = = − 12
π
×
×
×
2 C
R
CT (ab) L (ab) 2 3.14 80 10 × 1,875
Μ
B W (L 12 ) = 1.061 Hz
Μ Μ Μ
Μ
" B W (L 21 ) = = = = 80.267 MHz, B W (L 12 ) = = = = 1.061 Hz;
Μ
กก + %! 9 B W (L ) = 80.267 MHz % B W (L ) = 1.061 Hz
21 12
1.061 Hz
"
E 29 MHz 8 ก
2 $ 9 "
,
!
' ( ' +;
+& ! 9 B W (L 12 ) = Μ
g
3.5.2.7 ก
$

'
A
V (F R )
ก + %! 9 &
!8 ,.

.' %&
%



ก( ก ,.

.' %
/ r %
ก ก( ก ,.

.' %
/
b e ′
N 12 ! E +>
"
ก9 L % ก( ก % 00>


"
L % ก(
E .# ! 9
R L g 11 21 S
N 32
9 ก V + %! 9 ก !ก (3.8)
b e ′
ก

ก
ก

137

3.



E P = E S , E = E N S ;
P
N P N S S N P
, E = E , N = N , N = N ;
P i P 11 S 21
E N 21 E r ′ r N 2 11
b e ′
g b ep
E = V b e ′ = , E = , r b ep = ;
i
′
i
S
N 11 R + r b ep N 2 21
′
g
E r ′ N
g b ep

$
E = V = × 21 (3.19)
S b e ′
R + r N
′
g b ep 11
r b e ′ g V N
E S V b e ′ m b e ′ R L N 12
32

N 12
+ 3.15 ! ก( ก ,.

.'
/ r % R L
b e ′
N 32
V o g R N 12 E r ′ N 21 ;
g b ep
m L
A = − ,V = − × ×
V (F R ) E g o N 32 R + r b ep N 11
′
g
g R N 12 r b ep N 21
′
m L
A = − × ×
V (F R ) R +
N
′
32 g r b ep N 11

ก 0 T "
V ! 0 & ก
ก E

2 o g

V o g R N 12 r b ep N 21 (3.20)
′
m L

$
A V (F R ) = = × ×
E
′
g
g N 32 R + r b ep N 11

"#
3.12 ก + 3.14 + %! 9 A
V (F R )
2 2
r N 11 615.324× ( ) 1 615.324 Ω
b e ′
- ,
r = = =
′
b ep 2 2
N 21 ( ) 1
−
3
195.019 10 × 75 5 615.324 1
×
×
ก !ก (3.20) A V (F ) = × × = 65.186
+
R
1 75 615.324 1
A V (F R ) = 65.186
" A V (F R ) = == = 65.186
3.5.2.8 ก
$

'
R C
n n
, R % C +;
& &

%& ก? + % ) &9
)ก !ก
/ - !
n n
&9 ก L ! 0 & ก
ก 0 +>
Q +;
ก "
C !9!
b c ′
1
32
ก

ก
ก

138

3.



9
< & ก
!8 ! ! ก "
+;
ก
! % ! ! 8 % ($ C ก
b c ′

C = ( ) n C (3.21)
b c ′
n
r bb′ (C b e ′ + C b c ′ )
R = (3.22)
n
( ) n C b c ′
N
, n = 12 T
2
N 32
"#
3.13 ก + 3.14 + %! 9 R % C
n
n
- ,
ก !ก (3.21) C = ( ) n C b c ′ = 5 0.5 10 − 12 = 2.5 pF
×
×
n
×
5 4.675 10
r bb′ (C b e ′ + C b c ′ ) ( × − 12 + 0.5 10 − 12 )
ก !ก (3.22) R = = = 10.35 Ω
n
×
×
( ) n C b c ′ 5 0.5 10 − 12
Ω
Ω Ω Ω
" C = == = 2.5 pF, R = == = 10.35 ;
n n

3.6 ก
ก

@A

+ "
#

*

Q 1 2SC930NP,V CBO = 30 V,V CEO = 20 V,V EBO = 5 V, I C (MAX) = 30 mA, P = 250 mW,
D
Ω
β = β = 120,V = 0.6 V, F = 300 MHz, C = C = 1.3 pF, r = 2 ;
F o BE T re ob bb′

a
L 12 , N 12 T 2
L 22 , N 22 b
L 32 , N 32 L 22
N 22 N 32
L 11 , N 11 L 21 , N 21 T 2 L 12 N 12 L 32


T 1 T 1
Q 1
L 11 L 21 V
N 11 N 21 o
E
g





T N : N = 1:1,L = 1.90 µH, L = 1.90 µH;
1 11 21 11 21
T 2 N 22 : N 12 : N 32 = 10 :5:1,L 22 = 238 µH, L = 59.5 µH, L 32 = 2.38 µH;
12

+ 3.16
, "-
.( & (
'
ก

ก
ก

139

3.


* ก,
. @ ก
ก V CC = 12 V,V BE = 0.6 V !8 ,.

.' ,T 2
T
1
'
+ %! 500 kHz %
( ' T T + %! 50 kHz T = 25 C, R = 75 ;
Ω

,
2
1
A
L
#H " @ ก
ก ก + 3.16

3.6.1 ก
ก,
.
I
C
k T
F T ( B ) q
ก !ก (2.20) I =
C (dc )
π
R F ( 2 F C R + ) 1
′
FH H T b c out
ก
F = F = 500 kHz, R FH = R g , R out = R %C b c ′ = C ob = C
H
L
R
re

ก ก I , %& ก ก I + %! 9 ก !ก (2.20) % I
C C (dc ) C (dc )
'
%& !9 ก(
0.5I / !+ 3
.( &
C (MAX)

"#
3.14 ก ก
9 I
C
k T
F T ( B ) q
- ,
ก !ก (2.20) I =
C (dc )
π
F
R FH H ( 2 F C R + ) 1
′
T
b c out
Ω
Ω
, F = 500 kHz, R FH = R = 75 , R out = R = 75 ;
H
g
L

C b c ′ = C ob = C = 1.3 pF,T = 25 C;
A
re
k T
F T ( B ) q
I C (dc ) =
π
F
R FH H ( 2 F C R + ) 1
′
T
b c out
6
300 10 × 25.7 10 − 3
×
×
I C (dc ) =
) }
( 75 500 10 3 ) ( { 2 3.14 300 10 × 1.3 10 − 12 × 75 +
6
×
×
×
×
×
×
1
I C (dc ) = 173.694 mA
" I C (dc ) = == = 173.694 mA ก 9 0.5I C (MAX) # ก I !9 ก(
15 mA ก I = == = 10 mA
C
C

3.6.2 ก
ก,
.
R , R R
E B 1 B 2
! ก
V = 0.5V ,V = 0.5V ; (3.23)
CE CC RE CC
I
I = C
B
β
F
0.5V
R = CC (3.24)
E
( β + ) 1 I B
F
ก !ก (2.26) R TH = 15R
E
ก !ก (2.27) V TH = I R + V BE + (β + ) 1 I R
B TH
B E
F
ก

ก
ก

140

3.



R
R
V CC TH V CC TH ;
ก !ก (2.28) R = , R =
B 1 B 2 )
V TH ( CC − V TH
V

"#
3.15 ก ก
9 R , R % R
E B 1 B 2
- ,
ก !ก (3.23) V CE = 0.5V CC ,V RE = 0.5V CC ;

=
×
V CE = 0.5 12 6 V

×
=
V RE = 0.5 12 6 V
×
I 10 10 − 3
I = C = = 83.333 µA
B
β 120
F
×
0.5V 0.5 12
ก !ก (3.24) R = CC = = 595.043 Ω
E
(β + ) 1 I B (120 1 83.333 10+ ) × − 6
F
=
×
ก !ก (2.26) R TH = 15R = 15 595.043 8.925 kΩ
E
ก !ก (2.27) V TH = I R + V BE + (β + ) 1 I R
B E
F
B TH
×
×
V TH = ( 83.333 10 − 6 × 8.925 10 3 ) + 0.6
+ ( 121 83.333 10 − 6 × 595.043 )
×
×
V TH = 7.343 V
×
×
V CC TH 12 8.925 10 3 14.585 kΩ
R
ก !ก (2.28) R B 1 = = =
V TH 7.343
×
×
V CC TH 12 8.925 10 3
R
R B 2 = = = 22.997 kΩ
V
( CC − V TH ) (12 7.343− )
" R = == = 595.043 , R B 1 = = = = 14.585 k , R B 2 = = = = 22.997 k ;
Ω
Ω
Ω
Ω Ω Ω
Ω Ω Ω
Ω Ω Ω
E
3.6.3 ก
$

"*

@.* $I

"
J
R = 595.043 Ω +;
9 ! & D
R = 560 Ω
E
E
R = 14.585 kΩ +;
9 ! & D
R = 15 kΩ
B 1 B 1
R = 22.997 kΩ +;
9 ! & D
R = 22 kΩ
B 2 B 2
3.6.4 ก
"
+ & ,



+ "
! "- 9 !&

! & D

V − V )
ก !ก (2.3) I = ( TH BE
B
R + ( β + ) 1 R
TH F E
I
ก !ก (2.4) I = β F B
C
ก !ก (3.23) V = 0.5V ,V = 0.5V ;
CE CC RE CC
ก

ก
ก

141

3.


"#
3.16 & )

.( & '

×
×
V CC B 2 12 22 10 3
R
- ,
ก !ก (2.1) V TH = = = 7.135 V
3
×
×
( R B 1 + R B 2 ) ( 15 10 + 22 10 3 )
×
×
3
R R 2 15 10 × 22 10 3 8.918 kΩ
B
1 B
ก !ก (2.2) R TH = = =
3
×
×
( R B 1 + R B 2 ) ( 15 10 + 22 10 3 )
(V − V ) (7.135 0.6− )
ก !ก (2.3) I = TH BE = = 85.226 µA
B
×
×
R TH + (β + ) 1 R E { 8.918 10 + (121 560 )}
3
F
×
ก !ก (2.4) I = β I = ( 120 85.226 10 − 6 ) = 10.227 mA
×
C F B
ก !ก (3.23) V = 0.5V , V = 0.5V ;
CE CC RE CC
}
V CE = V CC − ( { β + ) 1 I R
F
B E
×
×
V CE = 12 − ( 121 85.226 10 − 6 × 560 )
V = 6.225 V
CE

'
" )

.( & I = == = 85.226 µA, I = == = 10.227 mA %V CE = == = 6.225 V
C
B
8
ก V <( / ก(
± 0.5 V"
+
+ 9 R
R "
!9
B
CE
1
B
2

3.6.5 ก
ก,
.
C BB ,C C BP 1
E

ก
"
X = X = X + %! 0.5 Ω !8 ,.

.' T
C E C BB C BP 1 1

T ก !ก (2.30)
2
1
C =
E
π
2 R FLCE F ( L C E )
C = C = C
E BB BP 1
, C % C
"#
3.17 + %! 9 C BB E BP 1
1
- ,
ก !ก (2.30) C =
E
π
2 R FLCE F ( L C E )
Ω
, R = X = 0.5 , F = 500 kHz;
FLCE C E ( L C E )
1 1
C = = = 0.636 µF
E
π
2 R F × × × × 3
FLCE ( L C E ) 2 3.14 0.5 500 10
" C == = C = = = = C = = = = 0.636 µF
=
E BB BP 1
3.6.6 ก
$
"# ก1 $
&@.* $I

"
J
C = 0.636 µF +;
9 ! & D
C = 0.68 µF
!
E E
ก

ก
ก

142

3.



C BB = C BP 1 = 0.636 µF +;
9 ! & D
C BB = C BP 1 = 0.68 µF
!


3.6.7 ก
"
+
A
V (F R )
β
ก !ก (1.10) r b e ′ = o
g
m
2
r N 11
b e ′
r b ep =
′
N 2 21
I I
c
d
c
d
ก !ก (1.9) g = C ( ) = C ( )
m )
V (k T q
T B
V o g R N 12 r b ep N 21
′
m L
ก !ก (3.20) A V (F R ) = = × ×
E
′
g
g N 32 R + r b ep N 11
% "
9"
+ (dB)
"#
3.18 ก & 9 A V (F R )
I I 10.227 10 − 3
×
( )
( )
- ,
ก !ก (1.9) g = C dc = C dc = = 397.937 mS
m ) − 3
V (k T q ×
T B 25.7 10
β 120
ก !ก (1.10) r b e ′ = o = = 301.555 Ω
g × − 3
m 397.937 10
2 2
r N 11 301.555× ( ) 1 301.555 Ω
b e ′
r b ep = = =
′
N 2 ( ) 1 2
21
V o g R N 12 r b ep N 21
′
m L
!ก (3.20) A V (F R ) = = × ×
E
′
g
g N 32 R + r b ep N 11
−
×
397.937 10 × 75 5 301.555 1
×
3
× =
A V (F R ) = 1 × 75 301.555 1 119.504
+
=
A V (F R ) (dB) 20 log 10 119.504 = 41.547 dB
= = =
=
" A V (F R ) = = = = 119.504, A V (F R ) (dB) 41.547 dB;
3.6.8 ก
$

'
C C
BT CT
ก
!8 ,.

.' T % T ! 9 500 kHz
' ( ' 50 kHz
1 2
T 1 N 11 : N 21 = 1:1, L = 1.90 µH, L = 1.90 µH;
21
11
T 2 N 22 : N 12 : N 32 = 10:5:1, L 22 = 238 µH, L = 59.50 µH, L 32 = 2.38 µH;
12
, F !8 ,.

.' &
9 L ! 9 !8 500 kHz
( R L 11 ) 11
F !8 ,.

.' &
9 L ! 9 !8 500 kHz
( R L 12 ) 12
ก + %! 9 C +;
%& C ก L ก +;
C + กN
′
BT b e ′ 21 b eP
L .#

ก C
BT
11
ก

ก
ก