400 TRANSISTOR AMPLIFIERS
C
B
E
CE
CC
+
−
VCC
+
−
VL
Ground
iS
+
−
vS
RS
R 2
R 1
CB
RC
RE
RL
iL
v 1
AC source
Amplified
output
ac voltage
npn BJT
Load
resistor
Bypass
capacitor
(a)
Rin Ri
RB=R 1 ||R 2 RC RL
(b)
RS
+
−
vS
+
−
vπ rπ +
−
vL = Av 1 v 1
gmvπ
E
C
ro
iS iL
B = AiiS
Rin=RB||Ri Ri = rπ Ground
v 1 = vπ
Figure 8.3.1Common-emitter (CE) BJT amplifier.(a)Circuit.(b)Small-signal ac equivalent circuit.
another part. CapacitorCE, known as the bypass capacitor, bypasses the ac current aroundREso
that no significant ac voltage is generated acrossRE, and helps to increase the gain.
The small-signal ac equivalent circuit is shown in Figure 8.3.1(b), in which the small-
signal model of Figure 7.3.7 for the transistor is used. While omitting the details of analysis
and summarizing the results, we have
RB=R 1
∥
∥R 2 = R^1 R^2
R 1 +R 2
(8.3.1)
Ri=
resistance between
transistor base and ground
(as seen looking into base)
=rπ (8.3.2)
v 1 =vπ=
vSRin
RS+Rin
(8.3.3)