for fea
Lower cutoff Upper cutoff
frequency frequency
Typical frequency response of an amplifier
m”)
Frequency response of an amplifier is the
graph of its gain V/s the frequency.
+ Cut-off frequencies : the frequencies at which
the voltage gain equals 0.707 of its maximum
value.
+ Mid band : it is the range of frequencies over
which device gain is constant
+ Bandwidth : the band between upper and
lower cut-off frequencies
Frequency Response of Amplifier
(Neh
,) |Lowtequency High-frequency
E Tange range
i = Midband range =
3 _—<—— a A
3 Ans Le el
sal Gain falls of due to the effects \\?; gy
E of stray capacitance and
h transistor capacitance effects
3 Gain falls of due to the
) effects of Cc and Ce !
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fa fe JU
BW=f,-f, (log scale)
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rn en!
r L L N 1 L L
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Phase nlot of RC coupled amolifier
Frequency is specified in logarithmic scale and gain in dB
V,
Gain in dB = 20108 | LE
Vin
Most amplifiers introduce a 180° phase shift between
input and output signals. This is the case only in the
midband region.
At low frequencies, there is a phase shift such that V,
lags V; by an increased angle.
At high frequencies, the phase shift will drop below 180°
At higher and lower frequencies the gain of the amplifier
set radurad
cary
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3
3
Anl
w
Low-frequency High-frequency
Gain falls of due to the effects
of stray capacitance and
transistor capacitance effects
Gain falls of due to the
effects of C¿ and C;
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BW ff, a)
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Phase plot of RC coupled amplifier
+ Outside the midband, the voltage gain can be determined
by these equations:
A= Ania A Ania
A= = 4 mE;
14+(f/f) V4(f/f)
Below mid band Above mid band
+ At low frequency range, the gain falloff due to coupling
capacitors and bypass capacitors.
+ As signal frequency decreases , the reactance of the
coupling capacitor, X, increases - no longer behave as short
circuits.
Low-Frequency Response (BJT) Amplifier
Circuit diagram of CE amplifier
In the analysis of the voltage-divider BJT, it will
simply be necessary to find the appropriate
equivalent resistance for the RC combination.
Capacitors Cs, CG, C will determine the low-
frequency response.
Considering the effect of each capacitor
separately, the lower cut-off frequency of a given
common emitter amplifier will be given by the
highest of the individual transistor terminal
circuits
-Frequency Response (BJT) Amplifier
« Effect of Cs: the general form of the R-C
configuration is established by the network of
the following Figure.
R, = RyllRallhie
1
2m(R; + RNCS
his
Circuit diagram of CE amplifier
-Frequency Response (BJT) Amplifier
+ Effect of C¿: the general form of the R-C
configuration is established by the network of
the following Figure.
Ro = Rello
1
ni + Role
fic
Circuit diagram of CE amplifier
-Frequency Response (BJT) Amplifier
+ Effect of C¿: the general form of the R-C
configuration is established by the network of
the following Figure.
(Ri/B) tr.
Re |
R
R= Rell|7 +7
Rs = RsllRl|R,
1
Re,
Circuit diagram of CE amplifier fu
-frequency hybrid-pi model
€, = Che + Cm Cu _ Cocl1 + Ap)
1
Co = Coe + Cuz Cm = Coe ( a +)
-frequency hybrid-pi model
Raw Rel RI Ral IR, Rano=Rel IRI IF
fn ae = Che + Cpell + An)
4 & fem mx , Co= Cet Cre ( +)
Fa = min fui fro)
Thevenin equivalent circuit Thevenin equivalent circuit
for the input network for the output network
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High-Frequency Response (BJT Amplifier )
When the reactance of C,, becomes small enough, a
significant amount of the signal voltage is lost due to a
voltage-divider effect of the source resistance and the
reactance of C,..
When the reactance of C,. becomes small enough, a
significant amount of output signal voltage is fed back
out of phase with the input (negative feedback), thus
effectively reducing the voltage gain.
High-Frequency Response (BJT Amplifier )
At high frequencies, internal transistor junction
capacitances do come into play, reducing an amplifier's
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3
gain and introducing phase shift as the signal frequency
increases.
+ At lower frequencies, the internal capacitances have a
very high reactance because of their low capacitance
value and the low frequency value, Therefore, they look
like opens and have no effect on the transistor's