8.5 FREQUENCY RESPONSE OF AMPLIFIERS 413
From Equations (8.5.7) and (8.5.8),
CD=
1
RL 2 ωL 2
=
1
RL 2 ωL/ 10
=
10
1900 ( 200 π)
= 8. 37 μF
whereωL 2 is chosen to beωL/10 so that the break frequency of the capacitor is at least 10 times
smaller thanωL.
CG=
1
RL 3 ωL 3
=
1
RL 3 ωL/ 10
=
10
79,780( 200 π)
= 0. 2 μF
whereωL 3 is chosen to beωL/10 so that the break frequency of the capacitor is at least 10 times
smaller thanωL.
In order to determineωH, we first find
RA=RS‖RG=
2000 (77,780)
79,780
= 1969. 9
RD‖RL=
900 ( 1000 )
1900
= 473. 68
RDL=ro‖RD‖RL=
15,000( 473. 68 )
15,473.68
= 459. 2
From Equation (8.5.17),
ωH=
1012
1950[3+ 1 +( 6 × 10 −^3 )( 459. 2 )+ 459. 2 /1950]
= 73. 26 × 106 rad/s
or
ωH
2 π
= 11 .655 MHz
Midband gain from Equation (8.5.3) is
Av 0 =
−( 6 × 10 −^3 )(77,780)( 900 )( 1000 )
( 2000 +77,780)( 900 + 1000 )
=− 2. 77
Amplifiers with Feedback
Almost all practical amplifier circuits include some form of negative feedback. The advantages
gained with feedback may include the following:
- Less sensitivity to transistor parameter variations.
- Improved linearity of the output signal by reducing the effect of nonlinear distortion.
- Better low- and high-frequency response.
- Reduction of input or output loading effects.
The gain is willingly sacrificed in exchange for the benefits of negative feedback. Compen-
sating networks are often employed to ensure stability. A voltage amplifier with negative feedback
is shown by the generalized block diagram in Figure 8.5.3. The negative feedback creates a self-
correcting amplification system that compensates for the shortcomings of the amplifying unit.
The gain with feedback can be seen to be
Af=
vout
vin
=
A
1 +AB
(8.5.19)
Also noting thatvd=vout/A, it follows