versus I
B
curve is horizontal. A small change in I
B
, in these portions of the curve, causes little or no
change in I
C
. But if the transistor is biased near the middle of the straight-line part of the curve in
Fig. 22-6, the transistor will work as a current amplifier.
The same situation holds for the curve in Fig. 22-4. At some bias points, a small change in E
B
does not produce much, if any, change in I
C
; at other points, a small change in E
B
produces a dra-
matic change in I
C
. Whenever we want a transistor to amplify a signal, it’s important that it be bi-
ased in such a way that a small change in the base current or voltage will result in a large change in
the collector current.
Static Current Amplification
Current amplification is often called beta by engineers. It can range from a factor of just a few times
up to hundreds of times. The beta of a transistor can be expressed as the static forward current trans-
fer ratio, abbreviated H
FE
. Mathematically, this is the collector current divided by the base current:
H
FE
= I
C
/I
B
For example, if a base current, I
B
, of 1 mA results in a collector current, I
C
, of 35 mA, then H
FE
=
35/1 = 35. If I
B
= 0.5 mA and I
C
= 35 mA, then H
FE
= 35/0.5 = 70. The H
FE
specification for a
particular transistor represents the greatest amount of current amplification that can be obtained
with it.
Dynamic Current Amplification
A more practical way to define current amplification is as the ratio of the difference in I
C
to the dif-
ference in I
B
that occurs when a small signal is applied to the base of a transistor. Abbreviate the
words “the difference in” by d. Then, according to this second definition:
Current amplification = dI
C
/dI
B
Figure 22-6 is a graph of the collector current as a function of the base current (I
C
versus I
B
)
for a hypothetical transistor. Three different points are shown, corresponding to three different bias
scenarios. The ratio dI
C
/dI
B
is different for each of the points in this graph. Geometrically, dI
C
/dI
B
at a given point is the slope of a line tangent to the curve at that point. The tangent line for point B
in Fig. 22-6 is a dashed straight line; the tangent lines for points A and C lie right along the curve
and are therefore not shown. The steeper the slope of the line, the greater is dI
C
/dI
B
. Point A pro-
vides the highest value of dI
C
/dI
B
, provided the input signal is not too strong. This value is very close
to H
FE
.
For small-signal amplification, point A in Fig. 22-6 represents a good bias level. Engineers
would say that it’s a good operating point. At point B, dI
C
/dI
B
is smaller than at point A, so point B
is not as good for small-signal amplification. At point C, dI
C
/dI
B
is practically zero. The transistor
won’t amplify much, if at all, if it is biased at this point.
Overdrive
Even when a transistor is biased for the greatest possible current amplification (at or near point A in
Fig. 22-6), a strong ac input signal can drive it to point B or beyond during part of the signal cycle.
356 The Bipolar Transistor