2. BJT Transistor Modeling
• A model is an equivalent circuit that represents the AC
characteristics of the transistor.
• A model uses circuit elements that approximate the
behavior of the transistor.
• There are two models commonly used in small signal AC
analysis of a transistor:
– re model
– Hybrid equivalent model
4. Small signal Analysis- AC equivalent model
• Output impedance Z0= Vo/ I0
•Input impedance Zi= Vi/ Ii
•Current gain Ai= Io/ Ii
•Voltage gain Ao= Vo/ Vi
5. The re Transistor Model
• BJTs are basically current-controlled devices; therefore the re model
uses a diode and a current source to duplicate the behavior of the
transistor.
• One disadvantage to this model is its sensitivity to the DC level. This
model is designed for specific circuit conditions.
8. Common-Emitter Configuration
bbe III 1
The diode re model can be
replaced by the resistor re.
more…
e
e
I
mV26
r
for Ac is generally greater
than 1.
11. Example
• Given =120 and IE(dc)=3.2mA for a common-emitter
configuration with ro= , determine:
a) Zi b)Av if a load of 2 k is applied c) Ai with the 2 k load
975)125.8(120rZ
125.8
m2.3
m26
I
26m
ra)
ei
E
e
:Solution
15.246
125.8
k2
r
R
b)A
e
L
v
120
I
I
Ac)
i
o
i
14. re vs. h-Parameter Model
acfe
eie
h
rh
Common-Emitter
Common-Base
1h
rh
fb
eib
15. The Hybrid p Model
The hybrid p model is most useful for analysis of high-
frequency transistor applications.
At lower frequencies the hybrid p model closely
approximate the re parameters, and can be replaced by
them.
16. 16
Hybrid Equivalent Model
• re model is sensitive to the dc level of
operation that result input resistance vary
with the dc operating point
• Hybrid model parameter are defined at an
operating point that may or may not reflect
the actual operating point of the amplifier
17. 17
Simplified General h-Parameter Model
The model can be simplified based on these approximations:
hr 0 therefore hrVo = 0 and ho (high resistance on the output)
Simplified