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Gain Expressions for Electrical Circuits - Prof. Marc E. Herniter, Assignments of Electrical and Electronics Engineering

Rose-Hulman Institute of Technology (RHIT)Electrical and Electronics Engineering
Prof. Marc E. Herniter

The solutions for hw #9 of ece 250, which involves deriving the gain expressions for four different electrical circuits using the small-signal model. The circuits include a common emitter (ce) stage, a common collector (cc) stage, a common base (cb) stage, and a source follower stage.

Typology: Assignments

Pre 2010

Uploaded on 08/18/2009

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bg1
ECE 250 HW # 9
Due 11/11/02
Problem 1:
Show that the gain expression for the circuit below is
( )
(
)
( )
π
π
rRRR
rRR
RRg
V
V
S
LCm
IN
OUT ////
////
//
21
21
+
−=
+
CE
+
R1
Q1
-
+
Vin
+
CL
+
RS
Vout
VCC
+
R2
+
CS
+
RE
+
RC
+
RL
VCC
Vin
Problem 2:
Show that the gain expression for the circuit below is
( )
LCm
IN
OUT RRg
V
V//−=
+
RC
Vout
+
RL
-VEE
+
REE
Q1
VCC
+
CL
+
CE
-
+
Vin
Vin
I1
pf2

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ECE 250 HW # 9

Due 11/11/

Problem 1:

Show that the gain expression for the circuit below is ( ) (^ )

π

R R R r

g R R R R r

V

V

S

m C L IN

OUT

CE

R

Q

Vin

CL

RS

Vout

VCC

R

CS

RE

RC

RL

VCC

Vin

Problem 2:

Show that the gain expression for the circuit below is m ( C L )

IN

OUT g R R

V

V =− //

RC

Vout

RL

-VEE

REE

Q

VCC

CL

CE

Vin

Vin

I

Problem 3:

Show that the gain expression for the circuit below is (^ ) m^ (^ EE L )

m EE L IN

OUT

g R R

g R R V

V 1 //

//

= VCC

Vout

CL

-VEE

+^ RL

REE

Vin M

Vin

RC

I

Problem 4:

Show that the gain expression for the circuit below is (^ ) ( ) (^) S IN

IN

m EE L

m EE L IN

OUT

R R

R g R R

g R R V

V

= 1 //

// (^) where

RIN = rπ +( 1 + β ) ( REE // RL ).

-VEE

Vout

I

CL

Q

  • Vin

Vin RS

REE

VCC

RL