transistores bipolares de junção - equações

5/23/2018 Transistores Bipolares de Jun o - Equa es

1/46

! " # #$ % " $ " &' ( "$) " " $

* + ,-./0 , 1 ./-0 " ,-2(0 , 3 42-0$ % "$

% ! " $ ) ! $

% -./ " 5 6 # $

) " 7$& " -./$ % ! " + , 0 , 0 , 0$ 8 9 $

4 7$&


2/46

&

8 9 $ 2 " 7$:$

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% ! 1 ,/2.0 1 ,/(.0 9 $ , 0 ! 1 " " 7$&$

!"#$%

'"(#)* '"(#)*

(


3/46

:

4 7$7

&- !''%

) 1 " $ ) + ! $ ? ,! 0 $


4/46

7

2 $

) > , 9 0$ =9 ; ; $ %

$

8 ! 9 1 " $

!''% .#/

) $ )

> $ ) > " ; $

@1 C D

B

= ,7$:0

,7$&0 ,7$:0 "1 "

= ,7$70

% $ E 1 & : & $@ ! 91 $

% " "+ $@ $ ) " 9 $


5/46

F

!''% $"//'

8 " 7$7 >

+= ,7$F0

! ,7$70 ,7$F0

&

+= ,7$G0

B&

+

= ,7$0

) ,7$G0 "

= ,7$H0

&

+=

,7$I0

) ,7$0

B

= ,7$J0

4 ,7$I0 "

&

=

,7$&0

) ,7$I0

" > $ @ ; C & C JJ$ ) ,7$&0 ! ! $


6/46

G

&/ 0"1#&%/ %'#/2/%' $ #!%"1

% " " 7$F ,0$

4 7$F

E B " 7$J$) " > ; $ 2 " $2 " " 7$F ,0 ; " $ E1 > ; $E " , 0 2 . ( . , . > > 0 9 $ ? 9 9 $

) " 7$G,0 ,0 " -./ $

4 7$G,0 ,0


7/46

% " 7$G,0 " $ ( 1 7$:$2; " " 7$G,0$E , 0 . 2 ( 2 , 2 > > 0 9 $ ? 9 9 $

/%'%'# / %'#/2/%'/ '#"/

) " 7$ " -./ $E1 " ! " $ #; $

4 7$

% " 9 $ ) " 7$H " $

4 7$H


8/46

H

) 1 1 $) $ K ! > $% ! ! $ ) 1 ,!0 1 $ 2 ! ; "$) " 1 ; $

@1 " ! 1 > $ %" "7$F 7$G $ ) " 7$I ; $

3 ,4

) " 7$J ,0 ,0$ E " $

4 7$I


9/46

I

) $ 2 1$

4 7$J

) " 7$& " $ % " #$ K $

4 7$&

) " $ K " $E1 " ; ! ;$

" " " L 5 , 0 $

= M " " $ " L 5 $


10/46

J

6 78

? " # $

6 9: 9: 9

) " 7$&& # $ ) ; > # ; ; &$

) $ $ ; " $ K ; ! ,N F0 $@ M G K 1 $ ) 1 I K$@ ! " ;:< , 9 > ; " $

@ $ > $

6+ "% # %$='#%'#- 1 : K &O( $ ) " 7$&: # " $

6 9) " 7$&7 " " $ ( 9" " " $ E

4$ 7$&&

4$ 7$&:


11/46

H

,C 0 " $

4 7$&7

63 9E -./ > $( " 7$&F,0$ % " " $$ $ @ # " $$ $ %

" " 7$&F,0$

4 7$&F


12/46

H&

@ ; " > " ; $0$E 9 $ " ; 9 1 ; C 1 %$

) % P -./ G & K$ ? 9 # $$

) " +

+=

%

& B ,7$&&0

) # " , " 0 "

&

=

=

,7$&:0

8 7$&& 1

%

,7$&70

$Q $ E " " " 9 " $

> 8 !! 2 ! ! $ E ; 9 $2" C H K ; $


13/46

H:

! $ 2 "

" " " , 0$@ " " " 7$&G,0$

( ,0$ )

" &$ % " " ' ! $


14/46

H7

E ! 9 $


15/46

HF

%1 P -./ > $ ) * $) " * " 7$& * > # C ,

S0$ R

*

=

= ,7$:0

) ; " " ; #$ ) '$

) ,' MM 0 " $ ) " $

4 7$&


16/46

HG

$ = * ,7$:G0

B 1 ;

+

= ,7$770


17/46

H

2

'

'

===

,7$70

) ) &

"

'

= ,7$7H0

8 ,7$70 9 )

= ,7$7I0

) ,7$:G0

**

&=

) "! ! ,7$7&0 ,7$7H0

'' == R

'

+

=

( ) + &+= ,7$7J0


18/46

HH

) 9 "

T9 C '

*

= ,7$F:0

2 9

" * $

C D, D

C $& EB2.'"

) " 7$&H,0 -./ $ 2 " ;

% 1 ( *' '( ' $ )

( ) ( )

''

+

'+

+

''

'

*

*

&

&& =

+

=+=+=+=

8 " ; " ,*'0 " '

*'C*, ' 0( ,* 0 '( '

4 7$&H


19/46

HI


20/46

HJ

( ) ( )( )

*

*

'

'

'

'

''

'' &&

&&&1 =+

=

+====

= " 7$&I,0 " " ;

*'C*, 0( ,*0 (

1 - " :$&I,0 " $

C =&"!#)* / $&/ 0"1#&%/ =#'# =0/ /"#"/

) ; -./

" $ % +

&$ -./ A

:$ ( P * A

7$ 2 " " 1 " A

F$ = -./ A

G$ ) ,; 9 0$


21/46

I

C3 %')* "% #'&F $& EB2.'"

( " 7$G$F " 2V 1 " # $ ) " 19 " 7$&J$

) " " 7$&:$ % N % % 2V

"$ E1 " 7$&J '" 9$E " > &$ ) "

( # *,&0 'R 9 " $ = LL & 9 " $ 2 " &&$

S > $4 ; $% - " 2V "

$

G 8 78) " " "$ 4 " " " 7$:$

4 7$&J


22/46

I&

4 7$:

% ! ) $ & $ C

&&

&

+=

$ 2 1&B& " 7$:& C $ ) C # "$

4 7$:&

% !

( $ &

&&

&=


23/46

I:

$ 2 " 7$::$ (& " 1&B&91 $% , # > $ ) ,

1 $

E1 " " , ; $

( ; " 7$:7,0 > " $@ P D ,0 91 1&B&$ 2 5 P6 # P D ,0$ ) " C $ = " " " P

# ' ' "$ ) " " 7$:7,0 P $) " 7$:7,0 " 1&B&> " P " 7$:7,0$ @ ; C " ," 7$:7,00 P #

4 7$::


24/46

I7

C " $ " " " 7$:7,0$

4 7$:7

0

0


25/46

IF

; H ( " " -./$ ) > ! > ! $ 8

1 ; ; $

; "'!"% ='"(#)* !$ $# % #&"$%#)* I"!#

% 4 7$:F,0 " " ! " $ ) " &!&"$ ) & $

4 7$:F

) 4 7$:F,0 -9

&&

&

:&

:+

= ,7$F70

:&

:&

&&

&&

& += ,7$FF0

) 1 W9"" 9 11 ,R0 CB,D &0 1

0&B, ++

=

&&

,7$FG0


26/46

IG

@ > ! > ! 1 " ! +

>> ,7$F0

0&,

+>>

&& ,7$FH0

) 7$F ! > ! $ E " & $


27/46

I

;+ "'!"% ='"(#)* !$ #/ %/ #&"$%#)*

( " 1 " " 7$:G$

2 9 R 1

0&B, ++

=

&&

,7$FI0

2 > 7$FG ; $ @ ! 7$F 7$FH $ E1 & " > , " 0$ @ " > &

$

; "'!"% ='"(#)* !$ '/"/%A!"# %' # .#/ !&!%'

) " 7$:,0 " " $

4 7$:

) " 7$:,0

&

&&

&

++

+=

++=

@

0&,

++=

&&

#

,7$FJ0

4 7$:G


28/46

IH

@ > "1 & B ,D &0 MM &

& ;

&

+==

&& ,7$G0

) " &$ = , > P 0 "

H

&

= ,7$G&0

$

;3 "'!"% ='"(#)* /# $# % !''%

% -./ " " 7$:H$

2 &$ )& " $ ) " " $

74 J

!"K'#)* "1'/#&

K "! " -./+ ,2(0 ,.(0 ,((0$ @ "! "$ 7$:I $

4$ 7$:H

4$ 7$:I


29/46

II

E ! " - > $ 2 > " > $ ( ! " $ %

$ E 9 $

+ .## $L"#/ '0A!"#/

E 1 ! " - , "0$ ) 1 1 " 9 "$

K " " 9 > ; "$ % 9 " " $ 2 " "# " $

) " ! " " 1 " ; $ ) " 91 , &)$

#$=&""!#' $ $"//' !$$

) " " 1 "$ 7$:I 1 X > Y > " Z> "$ 7$:J,0$

% " > $ ) " 2( $ % - $

! - " -./ " 1 > " $ ) " &$ @ " 9 $ $


30/46

IJ

M&"/ !"'!"%

= -./ 19 " 7$:J,0$

) & 1

&& BB= ,7$G:0

@&LL & ,7$G70

@ & " C $ 2 C *C

) && BB= ,7$GF0

@ & MM

&& ,7$GG0

) P 1 .

&

*

*

.

/

=

==

=

,7$G0

" P "$ 7$:J,0$

) "

&&

&

+=

BB

BB ,7$GH0

%

( )( )/ &&*# BBBB= ,7$GI0

% 9

( )/ &&*#

BBBB=

,7$GJ0

( ! 7$GH 7$GJ 9 %

( )

/

&&

&&&*#

%

+===

BB

BBBBBB ,7$0


31/46

J

4 7$:J


32/46

J&

@&LL ; " 1

( )

/&

&&*#%

+

BBBB ,7$&0

=*C

( )

+

/

&

&%

+=

BBBB

,7$:0

2 ; & 9 $ 2 ; &

; &MM 9 "

( )/ &&*#% BBBB ,7$70

= & MM

( )/ &&*#% BB ,7$F0

% 9 " 2(%

( ) ( )

/

/

/

&

&&&*#

&

&

%

BBBBBB

BBB

B === ,7$G0

= &/ & MM 91 "

%

B&

&

+ ,7$0

&LL #% ,7$H0

9 1 # -./$

2 " 2( 9 , 0$ 2 " 9 9 9 1 2($ [ "2( " $


33/46

J:

3 #$=&""!#' $ $"//' !$$ !$ $# '/"/%A!"# $"//' N ( " "7$7,0$ 2 " "

$

M&"/ !"'!"%

@ " "$ 7$7,0 -./ 19 " 7$7,0$ K1 > "$


34/46

J74 7$7


35/46

JF

+=

+'

& & ,7$H&0

( ! 7$H 7$I 7$H& 1

+=

+'

&& & ,7$H:0

% # . ) / .0

= ( ) &+= 7$H:

( ) ( )' && ++= & ,7$H70

) ) , N ) $ 2 $

) &

( ) ( )[ ] &&& ++= &BB ,7$HF0

4 7$7


36/46

JG

E /"/%A!"# /#2#

@ " 7$7,0

&&& BB= ,7$HG0

& -./$ ) " 7$7,0

&$ E " C " $ = "

& = ,7$H0

) * 3 # $2 9 9 + &

) ,& &'0$ ( 9&MM ),& &'0 &

C& ,7$HH0

) 9 ) ,& &'0 &B \) ,& &'0]$ -

( )

&&

&

BB+=

,7$HI0

4

* += ,7$HI0

= $ 7$HI $ 7$HH " 7$H 1

( ) +

+ &

&&

&*& +

++= &

*&MM & "

( )

+

+

+

+

&&

&*& & ,7$HJ0

%1 ) . , )! - %# .$

= & $ 7$HG 1

( ) +

+ &

&&

&*&& &BB

++= ,7$I0


37/46

J

E 7#B $ %/*

@ 9 1 9 '$ 1

( # ,& &/0* ,7$I&0

$ 7$H&

' &

+= ,7$I:0

= $ 7$I& $ 7$I: *( 1

( )

BB

/

'

&

&&

+=

,7$I70

( N &

BB

/

'

&

&&

+= ,7$IF0

2 + # , -%# ) )

$ 2 1 " -./ $

% 9 "

'

'

% == ,7$IG0

=

'

&&

&

+= ,7$I0

& $ 7$HF 1

( ) ( ) ( )[ ]

( ) ( )[ ]

/

&&&

&&

&

&&0

%

+++

++

+==

&

& ,7$IH0

(&LL ( ) ( ) & ++ & C B ,D&0 1

( ) ( ) ( )

/

/

&&

&&

&&

&&

%

+++=

+++==

&

&

,7$II0

% , & . > , D &0& ; , $ 7$:0 $ E ( ) ( ) & ++ & LL& 9 "


38/46

JH

/

&

&&

%

+==

,7$IJ0

E K#B $ !''%

% 9 "%

( )( )[ ]( )( )( )[ ]

/

'

'

/

&

&&

&&

&

%

++=

++== &BB

&BBBB

,7$J0

8 $ 7$IF 1

( )( )[ ]

/

/

&

&&

&

&&%

++

+=

&BB

BB1

,7$J&0

(&LL ( ) ( ) & ++ & C B ,D&0 1

BB1/

/

&&&% ,7$J:0

= &11 &/ 1 % ,7$J70

E %'#/!%@!"# !'%E!"'!"%

) P 1 .1

&

*

.

/

===

,7$JF0

= ( ' $ 7$H& "

( )&

*.

B&+

= ,7$JG0

@ ( 1 / .02 -%# .

2 " 2( " 9 $E 9 $ K " 9 "$) & "$ ^ $


39/46

JI

6 #$=&""!#' $ .#/ !$$

% " "$ 7$:I1 " 7$7&,0$

> " $ ( ,0 9 .#/!$$$

.4 7$7&


40/46

JJ

E - " 7$7&,0$ ) -./ ! " " " $

) '/"/%A!"# %'##.

&& BB= ,7$J0

( &LL

& ,7$JH0

( ; ,_ :G _ & )0 # '/"/%A!"# %'## #$=&""!#' L .#"-#$

" 7$7&,0

( # ,& &/0 ,7$JI0

( # ,7$JJ0

@ ! K#B $"//' =#'# !&!%'

/

&&

BB= ,7$&0

# ) ) : $

=*C B /

&&*

BB= ,7$&&0

=

&&&

+=

BB BB ,7$&:0

K#B %%#& $ %/*

BB

BBBB

/

&&

&

&&

%

+== ,7$&70

= &LL &LL 9 "


41/46

&

/

&

&&%

BB= ,7$&F0

= &LL ; &1

BBBB /

/ &&*

&&% == ,7$&G0

E1 2( #$=&""!#' L * "1'/' " $

% K#B $ !''%

/

/

/

&

&

&&

&

&

&

&

%

BBR ==== ,7$&0

=&LL &/C 1

=

==

#

% ,7$&H0

K#B !''% !'%E!"'!"% $ .#/ !$$$

) " " 9 #; $

) '/"/%A!"# /#2# " .(

&( & ,7$&I0

@ ; " .( # " $ ) ,'0 " ; ,_ 0 " , "0 P , " ;&0$) .( ; " $


42/46

&&

> #$=&""!#' $ !&!%' !$$ /K"' $"//'

) " "$7$:I 1 " 7$7:,0$

E " " > > $ ( " ,0 91 !&!%' !$$$

4 7$7:


43/46

&:

= -./ 19 " 7$7:,0$ E -./ "" 9 " $ Q1 & &/ $ @ " ,&

C 0 "

, &( BB&BB&/0$

) '/"/%A!"# %'## & 9 &'

&( & &' ,7$&J0

= ( ) ( )[ ]/' &&& & ++= ,7$&&0

( ) ( )[ ]/ &&&& &BB ++= ,7$&:0

E1 ./'M $"% K'# 1" # #!%' N $ 2 " $ E " " & ; &/ " $

=&" " ; "1

( ) ( )[ ]/' &&&& & ++= ,7$&:&0

&/MM ,& BB 0 1

( ) ( ) ( ) // &&& && ++=++ ,7$&::0

) %'#/$"//* # % /"#& =#'# # .#/

( ) ( )[ ]

( ) ( )[ ] /

/

'

&&&&

&&&

&&

&

&BB

&BB

+++

++=

+=

,7$&:70

% K#B %/* # .#/ =#'# $"//'

/

/

'

&&

&&

BBBB

BBBB

+= ,7$&:F0


44/46

&7

( 9 '&$ ) 9 $

( ;! 1 K#B %/* K&.#& !"'!"%

/

/

'

'

&&

&

&&

&&

%

++==

BBBB

BBBB ,7$&:G0

E1 K#B $ %/* L "'"' # $: / %#% $"% ='O-"$ $ & ; $

% K#B $ !''%

/

/

/

/

/

/

/

/

/

&

&

&

&

&&

&&

&

&&

&&

&

&&

&&

&

&&

&&

&

%

BBBB

BBBB

BBBB

BBBB

0,

+

=

=+

++=

+=

+==

,7$&:0

= &/MM ,& BB 0 &LL&' & ; 7$&:: 9 1#='-"$##$% "K#& # N $

@ " & "1 C 1 " ,0 " 7$77$

4 7$77


45/46

&F

)

& = &C ,&BB BB&0

& '/"/%A!"# 0"1#&% &B# $"//' =#'# # .#/

& = $ 8 C # '$ ' C 1 ,D &0 ' ( )

1

'

&&

+=

1( )

&

+

+=

&&

& ,7$&:H0

9 1$/ # '/"/%A!"# %%#& !"'!"% # .#/ "1""# =' N $ 2 "; " 1 ,D &0 1 ,D &0$

) '/"/%A!"# /#2#

( )

+

+=

&

BBBB

&&

&& ,7$&:I0

E& & & ;

( )

&

+

+

&&

& ,7$&:J0

"

( )

&

++=

&&

& ,7$&70

= & "

&

++=

&& ,7$&7&0

) /K"' $"//' -". $# '/"/%A!"# /#2#.#"-# " $

2 ; 9 ; #; 9 $

2 " ; $ ) ; 1


46/46

&G

" 9 " ; $

( "

; "; $ * $ @ > $ S " &/ $ % > &$

`

1#&' ="! # %/* /"#& $"//' =#'# 0#&!'' !'%

/

2

2

&

&

#=

+ ,7$&7:0

B&

/

2

&&

+

+= ,7$&770

% 1

2

2

%

= ,7$&7F0

) $

transistores bipolares de junção - equações

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