SEC. 16-1 FREQUENCY
RESPONSE OF
AN AMPLIFIER
The frequency response is the graph of
voltage gain versus input frequency. An ac
amplifier has a lower and an upper cutoff
frequency. A dc amplifier has only an
upper cutoff frequency. Coupling and
bypass capacitors produce the lower
cutoff frequency. Internal transistor
capacitances and stray-wiring
capacitances produce the upper cutoff
frequency.
SEC. 16-2 DECIBEL POWER GAIN
Decibel power gain is defined as 10 times
the common logarithm of the power gain.
When the power gain increases by a
factor of 2, the decibel power gain
increases by 3 dB. When the power gain
increases by a factor of 10, the decibel
power gain increases by 10 dB.
SEC. 16-3 DECIBEL VOLTAGE
GAIN
Decibel voltage gain is defined as 20 times
the common logarithm of the voltage
gain. When the voltage gain increases by a
factor of 2, the decibel voltage gain
increases by 6 dB. When the voltage gain
increases by a factor of 10, the decibel
voltage gain increases by 20 dB. The total
decibel voltage gain of cascaded stages
equals the sum of the individual decibel
voltage gains.
SEC. 16-4 IMPEDANCE
MATCHING
In many systems, all impedances are
matched because this produces maximum
power transfer. In an impedance-matched
system, the decibel power gain and the
decibel voltage gain are equal.
SEC. 16-5 DECIBELS ABOVE A
REFERENCE
Besides using decibels with power and
voltage gains, we can use decibels above a
reference. Two popular references are the
milliwatt and the volt. Decibels with the
1 milliwatt reference are labeled dBm, and
decibels with the 1 volt reference are
labeled dBV.
SEC. 16-6 BODE PLOTS
An octave refers to a factor of 2 change
of frequency. A decade refers to a factor
of 10 change in frequency. A graph of
decibel voltage gain versus frequency is
called a Bode plot. Ideal Bode plots are
approximations that allow us to draw the
frequency response quickly and easily.
SEC. 16-7 MORE BODE PLOTS
In a lag circuit, the voltage gain breaks at
the upper cutoff frequency and then rolls
off at a rate of 20 dB per decade,
equivalent to 6 dB per octave. We can
also draw a Bode plot of phase angle
versus frequency. With a lag circuit, the
phase angle is between 0 and .90°.
SEC. 16-8 THE MILLER EFFECT
A feedback capacitor from the output to
the input of an inverting amplifier is
equivalent to two capacitors. One
capacitor is across the input terminals,
and the other is across the output
terminals. The Miller effect refers to the
input capacitance being Av . 1 times the
feedback capacitance.
16-9 RISETIME-BANDWIDTH
RELATIONSHIP
When a voltage step is used as the input
to a dc amplifier, the risetime of the
output is the time between the 10 and 90 percent points. The upper cutoff
frequency equals 0.35 divided by the
risetime. This gives us a quick and easy
way to measure the bandwidth of a dc
amplifier.
16-10 FREQUENCY ANALYSIS
OF BJT STAGES
The input coupling capacitor, output
coupling capacitor, and emitter bypass
capacitor produce the low cutoff
frequencies. The collector bypass capacitor
and the input Miller capacitance produce
the high cutoff frequencies. Frequency
analysis of bipolar and FET stages is
typically done with MultiSim or an
equivalent circuit simulator.
16-11 FREQUENCY ANALYSIS OF
FET STAGES
The input and output coupling capacitors
of a FET stage produce the low cutoff
frequencies (like a BJT stage). The drain
bypass capacitances, along with the gate
capacitance and input Miller capacitance,
produce the high cutoff frequencies.
Frequency analysis of BJT and FET stages
are typically done with MultiSim or an
equivalent circuit simulator.
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