BJT-Transistor Analysis

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    BJT transistors

    Widely used in amplifier circuits

    Formed by junction of 3 materials

    npn or pnp structure

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    pnptransistor

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    Large current

    Operation of npn transistor

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    Modes of operation of a BJT transistor

    Mode BE junction BC junction

    cutoff reverse biased reverse biased

    linear(active) forward biased reverse biased

    saturation forward biased forward biased

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    ummary of npn transistor be!avior

    npn

    collector

    emitter

    base

    "B

    "#

    "$

    smallcurrent

    large current

    %

    &B#

    '

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    ummary of pnp transistor be!avior

    pnp

    collector

    emitter

    base

    "B

    "#

    "$

    smallcurrent

    large current

    %

    &B#

    '

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    ummary of e(uations for a BJT

    "#"$

    "$) "B

    is t!e current gain of t!e transistor *++

    &B#) +,-&.npn/

    &B#) '+,-&.pnp/

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    "nput c!aracteristics

    cts as a diode &B#+,-&

    "B "B

    &B#

    +,-&

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    Output c!aracteristics

    "$

    "$

    &$#

    "B) *+

    "B) 4+

    "B) 3+

    "B) 0+

    $utoff

    region

    t a fi5ed "B6 "$is not dependent on &$# lope of output c!aracteristics in linear region is near + .scale e5aggerated/

    #arly voltage

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    Biasing a transistor

    We must operate t!e transistor in t!e linear region, transistor7s operating point .8'point/ is defined by

    "$6 &$#6 and "B,

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    small ac signal vbeissuperimposed on t!e 9$ voltage

    &B#, "t gives rise to a collector

    signal current ic6 superimposed on

    t!e dc current "$,

    Transconductance

    ac input signal

    .9$ input signal +,-&/

    ac output signal

    9$ output signal

    "B

    T!e slope of t!e ic' vB#curve at t!e

    bias point 8 is t!e

    transconductance gm: t!e amount of

    ac current produced by an ac

    voltage,

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    0,; nalysis of transistor circuits at 9$For all circuits: assume transistor operates in linear region

    write B'# voltage loop

    write $'# voltage loop

    #5ample 0,4

    B'# junction acts li$) *+ ' *.0,-/ ) 1,3&

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    #5ample 0,;

    B'# &oltage loop

    1 ) "B>B% &B#6 solve for"B

    "B ) .1 ' &B#/=>B ) .1',-/=*++< ) +,+03m

    "$) "B) .*++/+,+03m ) 0,3m

    &$) *+ ' "$>$) *+ ' 0,3.4/ ) *,0&"#

    "$

    "B

    ) *++

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    #5ercise 0,@

    ) + ' ,- ) '+,-&

    "#

    "$

    "B

    ) 1+"# ) .' '*+/=># ) .',- %*+/=*+? )

    +,A3m

    "$"#) +,A3m

    "B) "B= = .93m/50 = 18.6

    &$) *+ ' "$>$) *+ ' ,A3.1/ ) 1,31&

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    rob, 0,34 Cse a voltage divider6 >B*and >B4to bias &Bto

    avoid two power supplies,

    MaB*and >B4form a voltage divider,

    ssume " DD "B " ) &$$=.>B*% >B4/

    ,4m ) A =.>B*% >B4/

    E9

    &B) &$$>B4=.>B*% >B4/G

    3 ) A >B4=.>B*% >B4/G6 olve for >B*and >B4,

    >B*) 3+?6 and >B4 ) *1?,

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    rob, 0,34

    Find t!e operating point

    Cse t!e T!evenin e(uivalent circuit for t!e base

    MaBBis measured wit! voltage sources grounded >BB) >B*HH >B4) 3+? || *1? = , *+?

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    rob, 0,34

    Write B'# loop and $'# loop

    B'#loop

    $'# loop

    B'# loop

    &BB) "B>BB% &B#%"#>#

    "#)4,+A m$'# loop

    &$$) "$>$% &$#%"#>#

    &$# )0,@ &

    T!is is !ow all 9$ circuits are analyIed

    and designed

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    #5ercise 0,40

    .a/ Find &$

    6 &B

    6 and

    6 given: ) *++6 &

    ) *++&

    "#) * m

    "B"#=) +,+*m

    &B) + ' "B*+? ) '+,*&

    ) &B' &B# ) '+,* ' +,- ) '+,@&

    &$) *+& ' "$@? ) *+ ' *.@/ ) 4&

    &B

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    #5ample 0,@

    4'stage amplifier6 *st stage !as

    an npn transistorK 4nd stage !as

    an pnp transistor,

    "$) "B

    "$"#

    &B#) +,-.npn/) '+,-.pnp/

    ) *++

    Find "$*6 "$46 &$#*6 &$#4

    Cse T!evenin circuits,

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    #5ample 0,@

    >BB*) >B*HH>B4) 33?

    &BB*) &$$>B4=.>B*%>B4/G

    &BB*) *11+?=*1+?G ) 1&

    tage * B'# loop

    &BB*) "B*>BB*% &B#%"#*>#*

    Cse "B*"#*=

    1 ) "#*33?= *++ % ,- % "#*3?

    "#* ) *,3m

    "B*

    "#*

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    #5ample 0,@

    $'# loop

    neglect "B4 because it is "B4 "$*

    "#*

    "$*&$$) "$*>$*% &$#*%"#*>#*

    *1 ) *,3.1/ % &$#*%*,3.3/

    &$#*) 0,@-&

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    #5ample 0,@

    tage 4

    B'# loop

    "B4

    "#4&$$) "#4>#4% B%"B4>BB4 % &BB4

    *1 ) "#4.4?/ % ,- %"B4 .1?/% 0,@- % *,3.3/

    Cse "B4"#4= , solve for "#4

    "#4 ) 4,@m

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    #5ample 0,@

    tage 4

    $'# loop

    "#4

    "$4

    &$$) "#4>#4% $4%"$4>$4

    *1 ) 4,@.4/ % $4% 4,@.4,-/

    solve for $4

    &$#4 ) *,@0&

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    ummary of 9$ problem Bias transistors so t!at t!ey operate in t!e linear region B'

    # junction forward biased6 $'# junction reversed biased

    Cse &B#) +,- .npn/6"$"#6 "$) "B

    >epresent base portion of circuit by t!e T!evenin circuit

    Write B'#6 and $'# voltage loops,

    For analysis6 solve for "$6 and &$#,

    For design6 solve for resistor values ."$ and &$#

    specified/,

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    ummary of npn transistor be!avior

    npn

    collector

    emitter

    base"B

    "#

    "$

    small

    current

    large current

    %

    &B#

    '

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    0,- Transistor as an amplifier

    Transistor circuits are analyIed and designed in terms of 9$

    and ac versions of t!e same circuit,

    n ac signal is usually superimposed on t!e 9$ circuit,

    T!e location of t!e operating point .values of "$ and &$#/ of

    t!e transistor affects t!e ac operation of t!e circuit,

    T!ere are at least two ac parameters determined from 9$

    (uantities,

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    small ac signal vbeissuperimposed on t!e 9$ voltage

    &B#, "t gives rise to a collector

    signal current ic6 superimposed on

    t!e dc current "$,

    Transconductance

    ac input signal

    .9$ input signal +,-&/

    ac output signal

    9$ output signal

    "B

    T!e slope of t!e ic' vB#curve at t!ebias point 8 is t!e

    transconductance gm: t!e amount of

    ac current produced by an ac

    voltage,

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    Transconductance ) slope at 8 point

    gm) dic=dvBE|ic= ICQ

    w!ere "$) "e5p.'&B#=&T/'*GK t!e

    e(uation for a diode,

    Transconductance

    ac input signal

    9$ input signal .+,-&/

    ac output signal

    9$ output signal

    gm ) "e5p.'&B#=&T/ .*=&T/

    gm "$=&T .=&/

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    ac input resistance *=slope at 8 point

    r) dvBE=dib|ic= ICQ

    r&T ="B

    re&T ="#

    ac input resistance of transistor

    ac input signal

    9$ input signal .+,-&/

    ac output signal

    9$ output signal

    "B

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    0,@ mall'signal e(uivalent circuit models

    ac model ybrid'model T!ey are e(uivalent Wor

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    teps to analyIe a transistor circuit

    * 9$ problem

    et ac sources to Iero6 solve for 9$ (uantities6 "$and &$#,

    4 9etermine ac (uantities from 9$ parametersFind gm6 r,and re,

    3 ac problem

    et 9$ sources to Iero6 replace transistor by !ybrid' model6

    find ac (uantites6 >in6 >out6 v6 and i,

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    #5ample 0,A

    Find vout=vin6 .) *++/

    9$ problem

    !ort vi6 determine "$and &$#

    B'# voltage loop

    3 ) "B>B% &B#

    "B) .3 ' ,-/=>B) +,+43m

    $'# voltage loop

    &$#) *+ ' "$>$

    &$# ) *+ ' .4,3/.3/&$# ) 3,*&

    8 point: &$# ) 3,*&6 "$)4,3m

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    #5ample 0,A

    ac problem

    !ort 9$ sources6 input and output circuits are separate6 only coupled mat!ematically

    gm) "$=&T) 4,3m=41m& ) A4m=&

    r) &T= "B) 41m&=,+43m ) *,*?

    vbe) vir= .*++? % r)] = 0.+**vivout) ' gm vbe>$

    vout) ' A4.0.+**vi/3?vout=vi) '3,+0

    %

    vout

    'e

    b c%

    vbe

    '

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    #5ercise 0,40

    Find gm6 r6 and r06 given: ) *++6 &) *++&6"$)* m

    gm) "$=&T) * m=41m& ) 0+ m=&

    r) &T= "B) 41m&=,+*m ) 4,1?

    r+ ) output resistance of transistor

    r+ ) *=slope of transistor output c!aracteristics

    r+ ) H &H="$) *++?

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    ummary of transistor analysis

    Transistor circuits are analyIed and designed in terms of 9$

    and ac versions of t!e same circuit,

    n ac signal is usually superimposed on t!e 9$ circuit,

    T!e location of t!e operating point .values of "$ and &$#/ of

    t!e transistor affects t!e ac operation of t!e circuit,

    T!ere are at least two ac parameters determined from 9$

    (uantities,

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    teps to analyIe a transistor circuit

    * 9$ nalysis et ac sources to Iero6 solve for 9$ (uantities6 "$

    and &$#,

    4 9etermine ac (uantities from 9$ parameters

    Find gm6 r,and ro,

    3 $ nalysis

    et 9$ sources to Iero6 replace transistor by !ybrid' model6find ac (uantities6 >in6 >out6 v6 and i,

    ro

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    $ircuit from #5ercise 0,40

    "#) * m &$) *+& ' "$@? ) *+ ' *.@/ ) 4&

    "B"#=) +,+*m gm) "$=&T) * m=41m& ) 0+ m=&&B) + ' "B*+? ) '+,*& r) &T= "B) 41m&=,+*m ) 4,1?

    ) &B' &B# ) '+,* ' +,- ) '+,@&

    %

    &out

    '

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    ac e(uivalent circuit

    b

    e

    c

    vbe) .>bHH>pi/= .>bHH>pi/ %>sGvi

    vbe) +,1vi

    vout) '.gmvbe/HH.>oHH>c HH>L/

    vout) '*10vbe

    v )vout=vi ) ' --

    %

    vout

    '

    Eeglecting>ovout) '.gmvbe/HH.>c HH>L/

    v )vout=vi ) ' @+

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    rob, 0,-;

    %&out

    '

    )*++

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    rob, 0,-;

    %&out

    '

    .a/ Find >in

    >in) >pi) &T="B ) .41m&/*++=,* ) 4,1?

    .c/ Find >out

    >out) >c) 0-?

    >in >out

    .b/ Find v) vout=vin

    vout ) ' ib >cvin ) ib .> %>pi/

    v) vout=vin ) ' ib >c= ib .> %>pi ) ' >c=.> %>pi/ ) ' 100.0-?/=.*++? %4,1?/ ) ' 37.6

    ) ib

    b

    e

    c

    ib

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    0,A 2rap!ical analysis

    "nput circuit

    B'# voltage loop

    &BB) "B>B%&B#

    "B) .&BB' &B#/=>B

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    2rap!ical construction of "Band &B#

    "B) .&BB' &B#/=>B

    "f &B# ) +6 "B) &BB=>B

    "f "B ) +6 &B#) &BB

    &BB=>B

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    Load line

    Output circuit

    $'# voltage loop

    &$$) "$>$%&$#

    "$) .&$$' &$#/=>$

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    2rap!ical construction of "$and &$#

    &$$=>$

    "$) .&$$' &$#/=>$

    "f &$# ) +6 "$) &$$=>$

    "f "$ ) +6 &$#) &$$

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    2rap!ical analysis

    "nput

    signal Output

    signal

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    Load'line results in bias point QAw!ic! is too close to V

    CCand t!us limits t!e

    positive swing of vCE

    ,

    Load'line B results in an operating point too close to t!e saturation region6 t!us

    limiting t!e negative swing of vCE

    ,

    Bias point location effects

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    0,** Basic single'stage BJT amplifier

    configurations

    We will study 3 types of BJT amplifiers

    CE - common emitter,used for &6 i6 and general purpose

    CE with RE' common emitter with RE6same as $# but more stable

    CC common collector, used for i6 low output resistance6

    used as an output stage

    $B common base .not covered/

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    $ommon emitter amplifier

    ac e(uivalent circuit

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    $ommon emitter amplifier

    >in >out

    %

    &out

    '

    Rin

    .9oes not include source/

    >in )>pi

    Rout

    .9oes not include load/

    >out )>$

    AV

    ) &out=&in

    &out) ' ib>$&in) ib.>s% >pi/

    & ) ' >$= .>s% >pi/

    Ai

    ) iout=iin

    iout

    ) ' ib

    iin) ib

    i ) '

    ib iout

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    $ommon emitter wit! >#amplifier

    ac e(uivalent circuit

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    $ommon emitter wit! >#amplifier

    >in >out

    %

    &out

    '

    Rin

    >in )&=ib

    &) ib >pi % .ib% ib/>#

    >in ) >pi % .*% />#

    .usually large/

    Rout

    >out )>$

    AV

    ) &out=&in

    &out) ' ib>$

    &in) ib >s % ib >pi % .ib% ib/>#

    & ) ' >$= .>s% >pi% .*% />#/.less t!an $#6 but less sensitive to variations/

    Ai

    ) iout=iin

    iout) ' ibiin) ib

    i ) '

    ib

    iout

    ib% ib

    %

    &

    '

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    $ommon collector .emitter follower/ amplifier

    b c

    e%

    vout

    '

    .voutat emitter/ ac e(uivalent circuit

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    $ommon collector amplifier

    >in

    %

    vout

    '

    Rin

    >in )&=ib

    &) ib >pi % .ib% ib/>L

    >in ) >pi % .*% />L

    AV

    ) vout=vs

    vout) .ib % ib/>L

    vs) ib >s % ib >pi % .ib% ib/>L

    & ) .*% )>L= .>s% >pi% .*% />L/.always */

    ib

    ib% ib

    %

    &

    '

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    $ommon collector amplifier

    >out

    %

    vout

    '

    Rout

    .don7t include >L6 set &s ) +/

    >out ) vout=' .ib% ib/vout) 'ib >pi % 'ib>s

    >out ) .>pi % >s/= .*% ) .usually low/

    Ai

    ) iout=iin

    iout) ib % ibiin) ib

    i ) + 1

    ib

    ib% ib

    rob 0 @0

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    rob, 0,@0

    %

    vout

    '

    ) 1+

    ac

    circuit

    $# wit! >#

    amp6 because >#

    is in ac circuit

    2iven

    >pi)&T="B

    ) 41m&.1+/=,4m

    ) ;,41?

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    rob, 0,@0

    .a/ Find >in

    >in )&=ib

    &) ib >pi % .ib%ib/>#>in ) >pi % .*%/>#

    >in ) ;,41?% .*%50/*41>in *4,;4?

    >in

    %

    &

    '

    ib

    ib% ib

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    rob, 0,@0

    .b/ Find &) vout=vs

    vout) ' ib.>$HH>L/

    vs

    ) ib

    >s

    % ib

    >pi

    % .ib

    %ib

    />#

    & ) ' .>$HH>L/= .>s% >pi% .*%/>#/

    & ) ' 50 .*+?HH*+?/=.*+? % ;,41?i% .*%50/*41/& ' 11

    ib

    ib% ib

    %

    vout

    '

    ib

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    rob, 0,@0

    .c/ "f vbeis limited to 1m&6 w!at is t!e largest signal at input and outputN

    vbe) ib >pi) 1m&

    ib) vbe =>pi) 1m&=;,41? ) +,@ .ac value/

    vs) ib >s % ib >pi % .ib%ib/>#vs) .+,@/*+? % .+,@/ ;,41? % .+,@ % .50)+,@ /*41vs*@m&

    ib

    ib% ib

    %

    vout

    '

    %

    vbe

    '

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    rob, 0,@0

    .c/ "f vbeis limited to 1m&6 w!at is t!e largest signal at input and outputN

    vout) vs &

    vout) *-,0m&.'**/

    vout'*A*m& .ac value/

    ib

    ib% ib

    %

    vout

    '

    %

    vbe

    '

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    rob, 0,-A

    Csing t!is circuit6 design an ampwit!:

    "#) 4m

    &) '@

    current in voltage divider " ) +,4m

    .$# amp because ># is not in ac circuit/

    ) *++

    &oltage divider&cc=" ) A=+,4m ) 01?

    01? ) >*% >4

    $!oose &B*=3 &cc to put operating point near t!ecenter of t!e transistor c!aracteristics

    >4=.>*% >4/ ) 3&

    $ombining gives6 >*) 3+?6 >4) *1?

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    rob, 0,-A

    ) *++Find ># .input circuit/Cse T!evenin e(uivalent

    B'# loop

    &BB)"B>BB%&B#%"#>#

    using "B"#=># ) &BB ' &B#' ."#=/>BBG="#

    ># ) 3' ,- ' .4m=100/*+?G=4m

    ># ) *,+1?

    %

    &B# '

    "#

    "B

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    rob, 0,-A

    Find >c .ac circuit/

    >pi ) &T="B) 41m&.*++/=4m ) *,41?>o ) &="$) *++=4m ) 1+?

    v ) vout=vin

    vout) 'gmvbe .>oHH>cHH>L/

    vbe) *+?HH*,4? = *+?% *+?HH*,4?Gvi

    v ) 'gm.>oHH>cHH>L/.*+?HH*,4?/ = *+?HH*,4? %>sG

    et v ) '@6 and solve for >c6 >c 4?

    %vout

    '

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    $# amplifier

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    $# amplifier

    v '*4,4

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    66

    FOC>"#> $OMOE#ET OF T>E"#ET >#OE# &.EP+++A/

    9$ $OMOE#ET ) '*,44;+-0#'+*

    >MOE"$ F>#8C#E$Q FOC>"#> EO>ML"R#9 # EO>ML"R#9 EO .R/ $OMOE#ET $OMOE#ET .9#2/ # .9#2/

    * *,+++#%+3 *,1@*#%++ *,+++#%++ '*,-A1#%+4 +,+++#%++

    4 4,+++#%+3 *,AA4#'+* *,4;+#'+* A,***#%+* 4,-+;#%+4

    3 3,+++#%+3 4,*-*#'+4 *,3-0#'+4 '*,--@#%+4 *,;;@#%++

    0 0,+++#%+3 3,3-;#'+3 4,*3;#'+3 '*,00*#%+4 3,133#%+*

    TOTL >MOE"$ 9"TO>T"OE ) *,4;-0-@#%+* #>$#ET

    $# amplifier

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    67/100

    67

    $# amplifier wit! >#

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    68/100

    68

    $# amplifier wit! >#

    v ' -,1

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    69/100

    69

    FOC>"#> $OMOE#ET OF T>E"#ET >#OE# &.EP+++A/

    9$ $OMOE#ET ) '*,3131;@#'+4

    >MOE"$ F>#8C#E$Q FOC>"#> EO>ML"R#9 # EO>ML"R#9

    EO .R/ $OMOE#ET $OMOE#ET .9#2/ # .9#2/

    * *,+++#%+3 -,@-A#'+* *,+++#%++ '*,-A0#%+4 +,+++#%++

    4 4,+++#%+3 *,;+0#'+4 4,+3;#'+4 A,0++#%+* 4,-30#%+4

    3 3,+++#%+3 1,4*+#'+3 ;,;*4#'+3 '*,3@A#%+4 0,+1;#%+*

    0 0,+++#%+3 3,@40#'+3 0,@10#'+3 '*,*-*#%+4 ;,43*#%+*

    TOTL >MOE"$ 9"TO>T"OE ) 4,*A0@@4#%++ #>$#ET

  • 7/25/2019 BJT-Transistor Analysis

    70/100

    70

    ummary

    Av !"

    $# '*4,4 *4,-S

    $# w=># .># ) *++/ '-,1 4,*AS

  • 7/25/2019 BJT-Transistor Analysis

    71/100

    71

    rob, 0,@3

    %

    vout

    '

    4 stage amplifier .a/ Find "$and &$of eac! transistor Bot! stages are t!e same .same for eac! stage/ $apacitively coupled

    ) *++

    RL=2K

    >c);,@?

  • 7/25/2019 BJT-Transistor Analysis

    72/100

    72

    rob, 0,@3

    .a/ Find "$and &$of eac! transistor

    .same for eac! stage/

    B'# voltage loop

    &BB) "B>BB% &B#% "#>#

    w!ere >BB) >*HH>4) 34?

    &BB) &$$>4=.>*%>4/ ) 0,@&6 and

    "B"#=

    "#)&BB' &B# G=>BB=% >#G

    "#) +,A-m

    &$) &$$' "$>$&$) *1 ' ,A-.;,@/

    &$) @,3A&

    %

    &$

    '

  • 7/25/2019 BJT-Transistor Analysis

    73/100

    73

    rob, 0,@3

    b c

    e

    %

    vout

    '

    .b/ find ac circuit

    b c

    e

    >BB) >*HH>4) *++?HH0-? ) 34?>pi ) &T="B) 41m&.*++/=,A-m 4,;?gm) "$=&T) ,A-m=41m& 3Am=&

    RL=2K

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    74/100

    74

    rob, 0,@3

    b c

    e

    %

    vout

    '

    .c/ find >in*>in* ) >BBHH>pi

    ) 34?HH4,;?

    ) 4,0?

    b c

    e>in*

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    ) 4,0?

    >in4

    find vb*=vi) >in*=>in* % >G

    ) 4,0?=4,0? % 1?G

    ) +,34

    %

    vb*

    '

    find vb4=vb*

    vb4) 'gmvbe*>$HH>BBHH>piG

    vb4=vbe*) 'gm>$HH>BBHH>piG

    vb4=vb*) '.3Am=&/;,@HH34?HH4,;?G

    ) ';A,*

    %

    vb4

    '

    RL=2K

  • 7/25/2019 BJT-Transistor Analysis

    75/100

    75

    rob, 0,@3

    b c

    e

    %

    vout

    '

    .e/ find vout=vb4vout) 'gmvbe4>$HH>LG

    vout=vbe4) 'gm>$HH>LG

    vb4=vb*) '.3Am=&/;,@?HH4?G

    ) ';+,3

    b c

    e

    .f/ find overall voltage gainvout=vi) .vb*=vi/ .vb4=vb*/ .vout=vb4/

    vout=vi) .+,34/ .';A,*/ .';+,3/

    vout=vi) *334

    %

    vb*

    '

    %

    vb4

    '

    RL=2K

    b 0 A;

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    76/100

    76

    rob, 0,A;

    Find "#*6 "#46 &B*6 and &B4

    "#4) 4m

    "#*) "4+% "B4

    "#*) "4+% "#4=4"#*) 4+ % *+"#*) 3+

    "#* "#4

    8* !as 1) 4+

    84 !as 2) 4++8*

    84"B4

  • 7/25/2019 BJT-Transistor Analysis

    77/100

    77

    rob, 0,A;

    Find &B*6 and &B4Cse T!evenin e(uivalent

    &B*) &BB*' "B*.>BB4/

    ) 0,1 ' .3+=4+/1++?

    ) 3,@&

    &B4) &B*' &B#

    ) 3,@& ' +,-

    ) 3,*&

    8* !as 1) 4+

    84 !as 2) 4++

    "B4%

    vB*

    '

    %

    vB4

    '

    "B*

    rob 0 A;

  • 7/25/2019 BJT-Transistor Analysis

    78/100

    78

    rob, 0,A;

    .b/ find vout=vb4

    vout) .ib4% 2ib4/>Lvb4) .ib4% 2ib4/>L % ib4>pi4

    vout=vb4) .* % 4/>L=.* % 4/>L % >pi4G ) .* % 200/*?=.* % 200/*?% 4,1?G +,A@@

    b*

    e*

    c*

    b4

    e4

    c4

    %

    vout

    '

    %

    vB4

    '

    >pi4) &T="B4 ) &T4="#4 ) 41m&.4++/=4m

    ) 4,1?

    rob 0 A;

  • 7/25/2019 BJT-Transistor Analysis

    79/100

    79

    rob, 0,A;

    .b/ find >in4 ) vb4=ib4

    vb4) .ib4% 2ib4/>L % ib4>pi4

    >in4 ) vb4=ib4) .* % 2/>L % >p ) .* % 200/*? % 4,1? 4+0?

    b*

    e*

    c*

    b4

    e4

    c4%

    vB4

    '>in4

    rob 0 A;

  • 7/25/2019 BJT-Transistor Analysis

    80/100

    80

    rob, 0,A;

    .c/ find >in* ) >BB*HH.vb*=ib*/

    ) >BB*HH ib*>pi* %.ib*% 1ib*/>in4G=ib*) >BB*HH >pi* %.*% 1/>in4G6w!ere >pi*) &T*="#*) 41m&.4+/=3+ ) *;,-?) 1++?HH*;,-? %.*% 20/4+0?G1++?

    b*

    e*

    c*

    b4

    e4

    c4

    %

    vB*

    '>in*

    iB*

    rob 0 A;

  • 7/25/2019 BJT-Transistor Analysis

    81/100

    81

    rob, 0,A;

    .c/ find ve*=vb*

    ve*) .ib*% 1ib*/>in4vb*) .ib*% 1ib*/>in4 % ib*>pi*

    ve*=vb*) .* % */ >in4 =.* % */ >in4 % >pi*G ) .* % 20/4+0?=.* % 20/4+0?% *;,-?G +,AA;

    b*

    e*

    c*

    b4

    e4

    c4

    %

    ve*

    '

    iB*%

    vB*

    '

    rob 0 A;

  • 7/25/2019 BJT-Transistor Analysis

    82/100

    82

    rob, 0,A;

    .d/ find vb*=vivb*=vi) >in*=>% >in*G

    ) +,@4

    b*

    e*

    c*

    b4

    e4

    c4

    %

    vb*

    '

    .e/ find overall voltage gainvout=vi) .vb*=vi/ .ve*=vb*/ .vout=ve*/

    vout=vi) .+,@4/ .+,AA/ .+,AA/

    vout=vi) +,@*

  • 7/25/2019 BJT-Transistor Analysis

    83/100

    83

    .rob, 0,A;/ &oltage outputs at eac! stage

    Output of

    stage 4

    Output of

    stage *

    "nput

    .rob 0 A;/ $urrent

  • 7/25/2019 BJT-Transistor Analysis

    84/100

    84

    .rob, 0,A;/ $urrent

    "nput

    current"nput to

    stage 4 .ib4/

    . b 0 A;/ $ t

  • 7/25/2019 BJT-Transistor Analysis

    85/100

    85

    .rob, 0,A;/ $urrent

    output

    current

    "nput to

    stage 4 .ib4/

    .rob 0 A;/ $ rrent

  • 7/25/2019 BJT-Transistor Analysis

    86/100

    86

    .rob, 0,A;/ $urrent

    output

    current

    "nput to

    stage 4 .ib4/#n$ut

    current

  • 7/25/2019 BJT-Transistor Analysis

    87/100

    87

    .rob, 0,A;/ ower and current gain

    "nput current ) .&i/=>in) *=1++? ) 4,+

    output current) .&out/=>L) .+,@*&/=*?) +,@*m

    current gain ) +,@*m= 4,+ ) 0+1

    "nput power ) .&i/ .&i/=>in) * 5 *=1++? ) 4,+W

    output power ) .&out/ .&out/=>L) .+,@*&/ .+,@*&/=*?) ;1;W

    power gain ) ;1;W=4W ) 34A

    B% &ut$ut Characteristics

  • 7/25/2019 BJT-Transistor Analysis

    88/100

    88

    $

    lot "c vs, &ce for multiple values of &ce and "b

    From nalysismenu use 9$ weep CseEested sweepin 9$ weepsection

    'robe B% &ut$ut Characteristics

  • 7/25/2019 BJT-Transistor Analysis

    89/100

    89

    * >esult of probe

    4 dd plot .plot menu/ 'D dd trace .trace menu/ 'D "$.8*/

    3 9elete plot .plot menu/

    B% &ut$ut Characteristics current ain

  • 7/25/2019 BJT-Transistor Analysis

    90/100

    90

    "b ) 1.#ac! plot *+ difference/

    at &ce ) 0&6 and "b ) 01) @m=01 ) *-@

    B% &ut$ut Characteristics transistor

    out$ut resistance

  • 7/25/2019 BJT-Transistor Analysis

    91/100

    91

    out$ut resistance

    "b ) 1

    .#ac! plot *+ difference/

    >o ) *=slope

    t "b ) 016*=slope ) .@,+ ' *,;/&=.@,1 ' -,@/m

    >out ) A,*?

    CE Am$lifier Measurements with *$ice

  • 7/25/2019 BJT-Transistor Analysis

    92/100

    92

    >in >out

  • 7/25/2019 BJT-Transistor Analysis

    93/100

    93

    #n$ut Resistance Measurement +sin *'#CE

    >eplace source6 &s and >s wit! &in6 measure

    >in ) &in="in

    9o not c!ange 9$ problem: cap ) H*=$H, For $ ) *++F6 = 1?I6 >cap ) *=4.*?/.*++#';/ *,;

    &in s!ould !ave a small value so operating point does not c!ange

    &in *m&

    Rin Measurement

  • 7/25/2019 BJT-Transistor Analysis

    94/100

    94

    Transientanalysis

    'robe results

  • 7/25/2019 BJT-Transistor Analysis

    95/100

    95

    ".$4/

    >in ) *m&=4+0n ) 0,A?

    & t t R i t M t + i *'#CE

  • 7/25/2019 BJT-Transistor Analysis

    96/100

    96

    &ut$ut Resistance Measurement +sin *'#CE

    >eplace load6 >L wit! &in6 measure >in ) &in="in

    et &s ) +

    9o not c!ange 9$ problem: cap ) H*=$H, For $ ) *++F6 = 1?I6 >cap ) *=4.*?/.*++#';/ *,;

    &in s!ould !ave a small value so operating point does not c!ange

    &in *m&

    Rout Measurement

  • 7/25/2019 BJT-Transistor Analysis

    97/100

    97

    Transientanalysis

    'robe results

  • 7/25/2019 BJT-Transistor Analysis

    98/100

    98

    '".$*/

    >out ) *m&=***n

    ) A?

    '".$*/ is current in &in flowing out of % terminal

    "C 'ower measurements

  • 7/25/2019 BJT-Transistor Analysis

    99/100

    99

    ower delivered by % *+ sources:

    .*+/.@-4/ % .*+/.@--/ ) @,-4mW % @,--mW ) *-,0mW

    ac 'ower Measurements of oad

  • 7/25/2019 BJT-Transistor Analysis

    100/100

    instantaneous

    power

    average

    power

    &out

    &in