BJT Topologies – AC Characteristics · PDF fileZ CB : low CE : high CC : high in ... BJT...

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Young Won Lim 08/04/2017 BJT Topologies – AC Characteristics

Transcript of BJT Topologies – AC Characteristics · PDF fileZ CB : low CE : high CC : high in ... BJT...

Page 1: BJT Topologies – AC Characteristics · PDF fileZ CB : low CE : high CC : high in ... BJT Topologies – AC Characteristics 34 ... BJT Configuration Properties CB : low CB : high

Young Won Lim08/04/2017

BJT Topologies – AC Characteristics

Page 2: BJT Topologies – AC Characteristics · PDF fileZ CB : low CE : high CC : high in ... BJT Topologies – AC Characteristics 34 ... BJT Configuration Properties CB : low CB : high

Young Won Lim08/04/2017

Copyright (c) 2012 – 2017 Young W. Lim.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

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BJT Topologies – AC Characteristics 3 Young Won Lim

08/04/2017

Input Characteristic CurvesOutput Characteristic Curves

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CE Amplifier : Linear Region

E

B

Cn

p

n

+

+

– –

V BE V CE

n

p

n

V CBC

B

E

Common Emitter

Active region

V BE V CE

V CB

V BBV RB

V RC V CC

Input Characteristics Output Characteristics

0.7V

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BJT Topologies – DC Characteristics 5 Young Won Lim

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CE Amplifier : Saturation Region

E

B

Cn

p

n

Common Emitter

V BBV RB

V RC V CCsaturation

+

+

– –

V BE V CE

n

p

n

V BC

C

B

E

+

V BE V CE

V BC

0.7V

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CC Amplifier : Characteristic Curves

Input Characteristics Output Characteristics

Common Collector 3

Active region

E

B

C n

p

n

+

+

– –

V BE V CE

n

p

n

V CBC

B

E

V BC V EC

V BC

V BE−V CE

V EC

−V CE

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CB Amplifier : Characteristic Curves

Input Characteristics Output Characteristics

Active region

Common Base

n p n

B

E C

+

+

– –

V BE V CE

n

p

n

V CBC

B

E

V EB V EB

IE

V CB

IC

V CE−V BE

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BJT Topologies – AC Characteristics 8 Young Won Lim

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Vin & V

out Phase Relationship

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BJT Topologies – AC Characteristics 9 Young Won Lim

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Notations

V CE

vce = vce(t)

ac instantaneous

V ce

ac rmsac avgac p-to-p

DC AC DC + AC

V CE + v ce

UPUPlowlow

UPlow

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CE Amplifier : Phase Relationship

E

B

Cn

p

n

Common Emitter

vs( t) vs( t)

vs

V BB

V BB

vs + V BB

Input Characteristics

V BB V BB

+V s

V BB

−V s

inc IB+ I b → inc IC+ I c , I E+ I e

dec IB− I b → dec IC−I c , IE− I e

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BJT Topologies – AC Characteristics 11 Young Won Lim

08/04/2017

CE Amplifier : Phase Relationship

E

B

Cn

p

n

Common Emitter Input Characteristics Output Characteristics

increasing vi direction

decreasing vo direction

Active region

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CC Amplifier : Phase Relationship

Input Characteristics Output CharacteristicsCommon Collector 3

Active region

E

B

C n

p

n

V BC

V BE−V CE

V EC

−V CE

increasing vi direction

increasing vo direction

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BJT Topologies – AC Characteristics 13 Young Won Lim

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CB Amplifier : Phase Relationship

Input Characteristics Output Characteristics

Active region

Common Base

n p n

B

E C

V EB

IE

V CB

IC

V CE−V BE

increasing vi direction

increasing vo direction

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BJT Topologies – AC Characteristics 14 Young Won Lim

08/04/2017

DC bias only circuitsDC + small AC AC only circuits

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BJT Topologies – AC Characteristics 15 Young Won Lim

08/04/2017

BJT Amplifier Configurations

n p nE

B

C

Common Base

n p n

B

Common Base

E

B

C

Common Emitter

n

p

n

E

BC

Common Emitter

n

p

n

E

B

C

Common Collector

n

p

n

E

B

C

Common Collector

n

p

n

E C

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Basic BJT Configuration Circuits

B

Common Base

E

BC

Common Emitter

E

B

C

Common Collector

E C

BE

BC E

B

C

E C−V EE −V CC

V CC

V BB −V BB

−V CC

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DC Bias

B

Common Base

E

BC

Common Emitter

E

B

C

Common Collector

E C

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DC Bias + AC Small Signal

B

Common Base

E

BC

Common Emitter

E

B

C

Common Collector

E C

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BJT Topologies – AC Characteristics 19 Young Won Lim

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AC Equivalent Circuits

B

Common Base

E

BC

Common Emitter

E

B

C

Common Collector

E C

B

E C

vo

E

B

C

vo

E

BC

vo

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BJT Topologies – AC Characteristics 20 Young Won Lim

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CB Amplifiers – DC Bias, AC Signal, Output LoadCE Amplifiers – DC Bias, AC Signal, Output LoadCC Amplifiers – DC Bias, AC Signal, Output Load

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Common Base

B

E C

B

E C

B

E C

DC Bias DC Bias + AC Signal

AC Signal AC Signal + Load

B

E C

DC Bias + AC Signal + Load

B

E C

vo

vo

vo

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Common Emitter

E

BC

E

BC

E

BC

E

BC

E

BC

DC Bias DC Bias + AC Signal DC Bias + AC Signal + Load

AC Signal AC Signal + Load

vo

vo

vo

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BJT Topologies – AC Characteristics 23 Young Won Lim

08/04/2017

Common Collector

E

B

C

E

B

C

E

B

C

E

B

C

E

B

C

DC Bias DC Bias + AC Signal DC Bias + AC Signal + Load

AC Signal AC Signal + Load

vo

vo

vo

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BJT Topologies – AC Characteristics 24 Young Won Lim

08/04/2017

AC Equivalent ModelT-modelPi-model

Input ImpedanceOutput Impedance Voltage Gain Current Gain

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BJT Topologies – AC Characteristics 25 Young Won Lim

08/04/2017

AC t & pi models

B

Common Base

E

B

C

Common Emitter

E

B

C

Common Collector

E C

B

Common Base

E

B

C

Common Emitter

E

B

C

Common Collector

E C

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BJT Topologies – AC Characteristics 26 Young Won Lim

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Input Impedance Zin

Zin : low

Ie

: Large

Zin

: high

Ib

: Small

Zin

: high

Ib : Small

E

B

C

Common Base

E

B

C

Common Emitter

E

B

C

Common Collector

re ' β re ' β(re '+RE)

I e Ib Ib

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BJT Topologies – AC Characteristics 27 Young Won Lim

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Output Impedance Zin

Zout

: high

Thevenin R

Zout

: high

Thevenin R

Zout

: low

Thevenin R

E

B

C

Common Base

E

B

C

Common Emitter

E

B

C

Common Collector

RC RC re '

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BJT Topologies – AC Characteristics 28 Young Won Lim

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Voltage Gain Av

Common Base Common Emitter Common Collector

Av : high A

v : high A

v: unityRC /re ' RC /re ' 1

I e I c I e

I c

I e

I e

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BJT Topologies – AC Characteristics 29 Young Won Lim

08/04/2017

Current Gain Ai

Common Base Common Emitter Common Collector

I e I c

I c

IbIb

I c

Ai : unity A

i: high A

i: high1 β β

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BJT Topologies – AC Characteristics 30 Young Won Lim

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BJT Configuration Properties

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BJT Topologies – AC Characteristics 31 Young Won Lim

08/04/2017

BJT Configuration Properties (1)

input Z : lowoutput Z : highvoltage gain : highcurrent gain : unity

input Z : highoutput Z : highvoltage gain : highcurrent gain : high

input Z : highoutput Z : lowvoltage gain : unitycurrent gain : high

BCCB CE EC

BEEB

n p nE

B

C

Common Base

E

B

C

Common Emitter

n

p

n

E

B

C

Common Collector

n

p

n

RF Applications Widely used Emitter FollowerBuffer to Low Impedance Load

Low Zin

Low Zout

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BJT Topologies – AC Characteristics 32 Young Won Lim

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BJT Configuration Properties (2)

Zin : low

Zout

: high

Av : high

Ai : unity

Zin

: high

Zout

: high

Av

: high

Ai

: high

Zin

: high

Zout

: low

Av

: unity

Ai

: high

n p nE

B

C

Common Base

E

B

C

Common Emitter

n

p

n

E

B

C

Common Collector

n

p

n

re '

RC

RC /re '

1

β re '

RC

RC /re '

β

β(re '+RE)

re '

1

β

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BJT Topologies – AC Characteristics 33 Young Won Lim

08/04/2017

BJT Configuration Properties

re '

RC

β re '

RC

β

β(re '+RE)

re '

1

CB : low CE : high CC : highZin

CC : lowZout CE : high CB : high

CC : unity CB : highCE : high RC /re ' RC /re '

CB : unity CE : high CC : high

Av

Ai 1 β

CB : low

CB : high

CB : high

CB : unity

CE : high

CE : high

CE : high

CE : high

CC : high

CC : low

CC : unity

CC : high

re '

RC

RC /re '

1

β re '

RC

RC /re '

β

β(re '+r E)

re '

1

β

Zin

Zout

Av

Ai

Common Base Common Emitter Common Collector

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BJT Topologies – AC Characteristics 34 Young Won Lim

08/04/2017

BJT Configuration Properties

CB : low

CB : high

CB : high

CB : unity

CE : high

CE : high

CE : high

CE : high

CC : high

CC : low

CC : unity

CC : high

re '

RC

RC /re '

1

β re '

RC

RC /re '

β

β(re '+r E)

re '

1

β

Zin

Zout

Av

Ai

Common Base Common Emitter Common Collector

CB : low

CB : high

CB : high

CB : unity

CE : med

CE : med

CE : med

CE : med

CC : high

CC : low

CC : unity

CC : high

r e

RC

α RC

(R s+r e)

α

r π=(β+1)r e

RC ∣∣ r o

β(RC ∣∣ r0)

(R s+rπ)

β ro

(R c+r o)

(β+1)[re+(ro∣∣RL)]

r o ∣∣[re+R s

(β+1) ]

(b+1)(RL ∣∣r o)

R s+(β+1)[ re+(RL∣∣r o)]

(β+1)r o

r o+RL

Zin

Zout

Av

Ai

Common Base Common Emitter Common Collector

ro , Rs , RE are used

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BJT Topologies – AC Characteristics 35 Young Won Lim

08/04/2017

BJT Configuration Properties

CB : low

CB : high

CB : high

CB : unity

CE : high

CE : high

CE : high

CE : high

CC : high

CC : low

CC : unity

CC : high

re '

RC

RC /re '

1

β re '

RC

RC /re '

β

β(re '+r E)

re '

1

β

Zin

Zout

Av

Ai

Common Base Common Emitter Common Collector

CB : low

CB : high

CB : high

CB : unity

CE : med

CE : med

CE : med

CE : med

CC : high

CC : low

CC : unity

CC : high

r e∣∣ RE ≈ r e

RC

RC

r e, RC ∣∣ RL

r e

R1 ∣∣ R2 ∣∣β re

RC (r e+Rs

β )∣∣RE =Rs

β ∣∣RE

RE

(re+RE )≈ 1

Zin

Zout

Av

Ai

Common Base Common Emitter Common Collector

VDB

RC

r e, RC ∣∣ RL

r e

R1 ∣∣ R2 ∣∣β(r e+RE)

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BJT Topologies – AC Characteristics 36 Young Won Lim

08/04/2017

AC Equivalent Circuits

Input Characteristic CurvesOutput Characteristic Curves

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BJT Topologies – AC Characteristics 37 Young Won Lim

08/04/2017

Storing Magnetic Energy

v vR

vL

i iR

iL

= +

= =

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Young Won Lim08/04/2017

References

[1] http://en.wikipedia.org/[2] J.H. McClellan, et al., Signal Processing First, Pearson Prentice Hall, 2003