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7/25/2019 Unit 2 - Oscillators by Mehzabeen
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Oscill
ators
S.M.Mehzabeen
1
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Objectives
Define the basic oscillator circuit
Identify elements of feedback in the oscillator
Identify the conditions for oscillation to occur
Identify input and output characteristics
Identify common uses of the oscillator
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Word Wall
Oscillation: an effect that repeatedly and regularly
fluctuates about a mean value
Oscillator: circuit that produces oscillation
Characteristics: frequency, amplitude, distortion,
wave-shape, stability
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OscillatorIn our daily life
Digital watches, Invertors, Radios , T.V, Computers, Fans, MetalDetectors, Electronic Bells and lots more
Pendulum of a clock.
If you push on a pendulum to start it swinging, it will oscillate at
some frequency - it will swing back and forth a certain number
of times per second.
The length of the pendulum controls the frequency.
In pendulum potential energy is converted in kinetic energy
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Overview of the Oscillator
One of the basic building blocks of electronics
Input is a direct current (DC) power source
Output is alternating current (AC)
Can generate sub-audible frequencies or very highfrequencies
Most oscillators are amplifiers with feedback
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Amplifiers as Oscillators?
Most amplifiers will oscillate when conditions are correct
Example: Too high of a volume on public address system
= loud noise and squeals that are the result of acoustic
waves traveling from the speakers to the microphone
The result is oscillation
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Feedback and Amplifier GainConditions for Oscillation
Feedback alone does not promise oscillation
There is always some loss in the feedback circuit
Amplifier gain must be greater than this loss
Feedback must be in-phase
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In-phase Feedback
In-phase feedback is also called regenerative feedback
or positive feedback
When the original amplifier input and output signals are not
in-phase, the feedback circuit is used to reverse the phase
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Input Characteristics
Steady source of direct current (DC)
In many applications, the DC source requires a filter
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Output Characteristics
Amplitude
Frequency
Waveform type
Stability
On some oscillators, the capability to change frequency
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Oscillator Amplitude
Usually determined by the gain available from the
amplifier
Supply voltage and circuit losses affect amplitude
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Oscillator Frequency
Frequency of operation is normally determined by the
feedback circuit
Common feedback circuits used to determine oscillator
frequency include:
crystals
resistor and capacitor networks (RC)
coil and capacitor networks (LC) {tank circuit}
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Waveform Type
Generally, determined by:
Feedback circuitry
Output filter circuitry
May be sinusoidal (sine wave), square wave, or triangular
wave
Amplifier gain, or
Changes to input voltage
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Oscillator Stability
Sometimes referred to as a stable oscillator
Source of a signal with consistent amplitude
Source of a signal with consistent frequency
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Ability to Change Frequency
Oscillators sometimes have the ability to change
frequencies
Crystal oscillator frequency is controlled by changing the
crystal
Crystals are usually cut from quartz to generate a
specified frequency when operating
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Typical Uses of the Oscillator
Radio and
television stations
require oscillators
to develop the
basic signal to
transmit their
information
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Typical Uses of the Oscillator
Cell phones, electronic
keyboards, and remote
controls use oscillators to
produce the required
frequencies for operation
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Typical Uses of the Oscillator
Digital devices such as
computers, watches,
calculators, and iPods all
require oscillators to
generate the rectangular
waveform required for
operation
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Typical Uses of the Oscillator
Variable oscillators, known
as signal generators, are
used to generate
frequencies and waveforms
needed for troubleshooting
and the testing of electronic
equipment
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Need of an Oscillator
An oscillator circuit is capable of producing ac voltage of
desired frequency and waveshape.
21
To test performance of electronic circuits, it is called
signal generator.
It can produce square, pulse, triangular, or sawtooth
waveshape.
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High frequency oscillator are used in broadcasting.
Microwave oven uses an oscillator.
Used for induction heating and dielectric heating.
Need of an Oscillator
Oscillators are circuitsthat generate periodic
signals.
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An oscillator converts DC power from power supply to AC
signals power spontaneously without the need for an AC
input source (Note: Amplifiers convert DC power into AC
output power only if an external AC input signal is present.)
Need of an Oscillator
There are several approaches to design of oscillator circuits.
The approach to be discussed is related to the feedback
using amplifiers.
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A frequency-selective feedback path around an
amplifier is placed to return part of the output signal
to the amplifier input, which results in a circuit called
a linear oscillator that produces an approximately
sinusoidal output.
Need of an Oscillator
Under proper conditions, the signal returned by the feedback
network has exactly the correct amplitude and phase needed to
sustain the output signal.
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Types of Oscillators
Sinusoidal or non-sinusoidal.
25
An oscillator generating square wave or a pulse
train is called multivibrator:
1. Bistable multivibrator (Flip-Flop Circuit).
2. Monostable multivibrator.
3. Astable multivibrator (Free-running).
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Types of Oscillators
26
Depending upon type of feedback, we have
1. Tuned Circuit (LC) oscillators.
2. RC oscillators, and
3. Crystal oscillators.
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The gain with positive feedback is given as
27
Using Positive Feedback
By making 1 A
= 0, or
A
= 1, we get gain as infinity
This condition (A = 1) is known as Barkhausen Criterion of oscillations
It means you get output without any input !
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What happens to the output ?
There are three possibilities.
How is it Possible ?
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Basic principles for oscillation An oscillator is an amplifier with positive feedback.
(1)f
VsVeV
(2)oVfV
(3)oVsVAfVsVAeAVoV
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oVsVAfVsVAeAVoV
oAsAVoV sAVoVA1
Basic principles for oscillation
The closed loop gain is:
A1A
sV
oV
fA
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Basic principles for oscillation
In general Aand are functions of frequency and thus
may be written as;
ssA1sA
s
sV
oVs
fA
is known as loop gain
ssA
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(1) IfA < 1,we get decayingof dampedoscillations.
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y p
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(2) IfA > 1,we get growing oscillations.
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y p
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(3) IfA = 1,we get sustained oscillations. In this
case, the circuit supplies its own input signal.
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y p
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Wherefrom comes the starting voltage ?
36
Each resistor is a noise generator.
The feedback network is a resonant circuit giving
maximum feedback voltage at frequency f0, providing
phase shift of 0 only at this frequency.
The initial loop gainA> 1.
The oscillations build up only at this frequency.
After the desired output is reached,Areduces to unity.
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y p
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Tank Circuit
37
LCparallel circuit is called
tank circuit.
Once excited, it oscillates
at
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The energy keeps oscillating between electric
potential energyand magnetic filed energy.
Tank Circuit
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Oscillators are the circuits which coverts DC
Voltage from battery to AC Voltage
Without excitation input signal
A simple example
If you charge up the capacitor with
a battery and then insert theinductor into the circuit, here's
what will happen
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General Form of LC Oscillators
Z=z1II hie=
ZL=z +z3II z2
Z L= II z2
Z L= + II
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General Form of LC Oscillators
Av=1
=1
General Equation of LC Oscillator:
hie(z1+z2+z3) +z1z2(1+hfe)z1z3=0
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Hartley Oscillator
52
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Circuit Description
6.RFC-Radio frequency Choke(isolation b/w A.C & D.C)
5.CC1 & CC2 are the coupling capacitors.
Reactance value very high for high
frequencies.(open circuit)
Reactance value zero for D.C.Conditions.
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Derivation of frequency of oscillation
Z1=jwL1+jwM
z2= jwL2 +jwM
z3=
General Equation of LC Oscillator:
hie(z1+z2+z3) +z1z2(1+hfe)z1z3=0
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Derivation of frequency of oscillation
hie(jwL1+jwM+ jwL2 +jwM- )+
jwhie(L1+ L2+2M ) (W2
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D i i f f f ill i
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Derivation of frequency of oscillation
Equating Real part = 0
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Ci c it Desc iption
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Circuit Description
2.R1 and R2 biasing resistors.
Amplifier stage:
1.Transistor Active device in Common emitter
Configuration.
3.RE-Biasing emitter resistance
4.CE-Emitter bypass capacitors.
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Ci c it Desc iption
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Circuit Description
6.RFC-Radio frequency Choke(isolation b/w A.C & D.C)
5.CC1 & CC2 are the coupling capacitors.
Reactance value very high for high frequencies.(open
circuit)
Reactance value zero for D.C.Conditions.
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DERIVATION OF FREQUENCY OF OSCILLATION
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DERIVATION OF FREQUENCY OF OSCILLATION
General Equation of LC Oscillator:
hie(z1+z2+z3) +z1z2(1+hfe)z1z3=0
hie( + = 0
j hie( + -wL ) +(
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DERIVATION OF FREQUENCY OF OSCILLATION
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DERIVATION OF FREQUENCY OF OSCILLATION
Equating Real part = 0
= = w2c2L
hfe= - 1
= =c2L 1+hfe=
hfe=
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Solution :
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Solution :
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Circuit Description
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Circuit Description
6.RFC-Radio frequency Choke(isolation b/w A.C & D.C)
5.CC1 & CC2 are the coupling capacitors.
Reactance value very high for high frequencies.(open
circuit)
Reactance value zero for D.C.Conditions.
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Derivation of frequency of oscillation
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Derivation of frequency of oscillation
Provides improved stability
Permits capacitive tuning of the oscillator if C3 is variable.
3
1
2
1
Lcfr
)323121
321(2
1
cccccccccL
fr
21
21
3 cc
cc
c
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ADVANTAGES of Colpitts oscillation
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ADVANTAGES of Colpittsoscillation
The frequency is stable and accurate.
The good frequency stability.
The stray capacitances have no effect on C3which
decides the frequency.
Keeping C3 variable, frequency can be varied in the
desired range.
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Franklin oscillator
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Franklin oscillator
79
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SERIES RESONATING CIRCUIT
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SERIES RESONATING CIRCUIT
80
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PRACTICAL FRANKLIN OSCILLATOR CIRCUIT
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PRACTICAL FRANKLIN OSCILLATOR CIRCUIT
81
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DERIVATION OF FREQUENCY OF OSCILLATION
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DERIVATION OF FREQUENCY OF OSCILLATION
LsjRsYL
1cjYc
CjLsRs
LsjRsYT
222YCYLYT = Cj
LsjRs
1
CjLsRs
LsjRs
YT
222
CjLsRs
Lsj
LsRs
RsYT
222222
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DERIVATION OF FREQUENCY OF OSCILLATION
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DERIVATION OF FREQUENCY OF OSCILLATION
Equate Imaginary Part to zero:
0222
C
LsRs
Ls
222LsRsc
Ls
222 Rsc
LsLs 2
22 1
Ls
Rs
LsC
2
21
Ls
Rs
LsC )
1(
2
12
2
Ls
Rs
LsCf
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DERIVATION OF FREQUENCY OF OSCILLATION
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Q
LsCf
2
1
2
2
Ls
Rs1
The impedance at resonance condition is
determined from the real part.
Yrzr
1
Rs
LsRs
Rs
LsRs
Yrzr
222221
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DERIVATION OF FREQUENCY OF OSCILLATION
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Q
Substituting value 2
CRs
Lszr )1(
2
22
LsRs
LsCRsLsRszr
RsCRs
LsRszr
CRs
Lszr
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ARMSTRONG OSCILLATOR
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TUNED COLLECTOR OSCILLATOR
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WHY?
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Hence Called Tuned Collector Oscillator.
The Tuned Circuit Is Placed In The Collector Of The
Transistor.
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CIRCUIT DESCRIPTION
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Employs Transformer Action.
LC Oscillator.
Voltage Across The Secondary Used As A Feedback.
Primary Acts As A Inductor(L)
Biasing Point Selected By R1,R2,RE.
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RC Oscillatorswww.Vidyarthiplus.com
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1. RC Phase shift Oscillator.
Three types :
2. Wein Bridge Oscillator.
3. Twin T Oscillator.
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TRANSISTORIZED RC FEEDBACK NETWORK
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RC FEEDBACK NETWORK
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Derivation for RC phase shift oscillator.
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R1=R2=R
Let c1 =c2=c3=c
R3+(Rth II Rin)=R
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Derivation for RC phase shift oscillator.
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Derivation for RC phase shift oscillator.www.Vidyarthiplus.com
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Derivation for RC phase shift oscillator.www.Vidyarthiplus.com
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Derivation for RC phase shift oscillator.www.Vidyarthiplus.com
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Derivation for RC phase shift oscillator.www.Vidyarthiplus.com
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Solution :
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WIEN BRIDGE OSCILLATORwww.Vidyarthiplus.com
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sCR
R
sCRZR
ZRZ
sC
sRC
sCRZRZ
CCP
CS
1
111
11
11
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WIEN BRIDGE OSCILLATORwww.Vidyarthiplus.com
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2
1
1
1
)1(
1
1
1
11
sCRsCR
sCRR
sCR
sC
R
sCR
ZZZZZ
SP
SP
sC
sRCZRZZ CS
1
2
Input Loading Output Loading
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Amplifier GainVVV
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2
1
2
21
1
21
0
1
1
2
1
210
1
21
11
21
210
00
)1(
11
)1(
1
1
,0
1
,
sCRsCR
sCRR
R
RA
sosCRsCR
sCRRZwhere
R
RZ
I
V
V
VA
andZI
VISince
R
R
R
RR
V
V
soRRRVRIVVV
andRR
VIIusewe
V
VgetTo
I
V
V
V
I
VA
r
S
i
i
r
S
i
i
oi
o
i
S
i
iS
r
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Advantages and Disadvantages of wien bridge oscillator
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It uses both positive and
negative feedback, it
provides better stability
and high over all gain.
Advantages
More components used
costlier.
Disadvantages
Frequency can be easily
adjusted by varying R or C
It cant generate very high
frequency.
121
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TWIN T OSCILLATORwww.Vidyarthiplus.com
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Crystal Oscillatorwww.Vidyarthiplus.com
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Crystal Oscillatorwww.Vidyarthiplus.com
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Crystal Oscillatorwww.Vidyarthiplus.com
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Piezoelectric effect.
The crystal is suitably cut and then mounted between
two metallic plates.
The fundamental frequency is given as
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Normally C is much smaller than C
Crystal Oscillatorwww.Vidyarthiplus.com
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Normally, Csis much smaller than Cm.
Therefore, Cp is slightly less than Cs.
Hence, the frequency fpis slightly greater than fs.
The crystal is inductive only between the frequencies fs
and fp.
The frequency of oscillation must lie between these
frequencies.
Hence the stability.
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The fois between 411 kHz and 412 kHz.
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Pierce Oscillator
If we assume that the current through C1 2 is larger than
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1
1
1
CjIvo
2
1
1
CjIvi
2
1
C
Cn
v
v
i
o
If we assume that the current through C1,2 is larger than
the collector current (high Q), then we see that the same
current flows through both capacitors. The voltage at the
input and output is therefore
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MODIFICATIONS FOR FREQUENCY STABILITY
Enclosing the circuit in a constant temperature chamber
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Enclosing the circuit in a constant temperature chamber.
Maintaining constant voltage by using the zener diodes.
Load effect is reduced by coupling the oscillator to the
load loosely
Circuit having high input impedance and low output
impedance.
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Hartley Oscillator.
Review
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y
Colpitts Oscillator.
RCPhase Shift Oscillator.
Wien Bridge Oscillator.
Crystal Oscillator.
Series and Parallel Resonance