The Transistor Astable Multivibrator
Regenerative switching circuits such as Astable Multivibrators are the most commonly
used type of relaxation oscillator as they produce a constant square wave output waveform as well as their simplicity,
reliability and ease of construction. Unlike the
Monostable Multivibrator or the
Bistable Multivibrator we looked at in
the previous tutorials that require an "external" trigger pulse for their operation, the Astable Multivibrator
switches continuously between its two unstable states without the need for any external triggering.
The Astable Multivibrator is another type of cross-coupled transistor switching circuit
that has NO stable output states as it changes from one state to the other all the time. The astable circuit consists
of two switching transistors, a cross-coupled feedback network, and two time delay capacitors which allows oscillation between
the two states with no external trigger signal to produce the change in state.
Astable multivibrators are therefore also known as Free-running Multivibrator as they
do not require any additional inputs or external assistance to osillate. Astables produce a continuous square wave from
its output or outputs, (two outputs no inputs) which can then be used to flash lights or produce a sound in a loudspeaker.
The basic transistor circuit for an Astable Multivibrator produces a square wave output
from a pair of grounded emitter cross-coupled transistors. Both transistors either NPN or PNP, in the multivibrator are
biased for linear operation and are operated as
Common Emitter Amplifiers with 100% positive
feedback. This configuration satisfies the condition for oscillation when:
( βA = 1∠ 0o ).
This results in one stage conducting "fully-ON" (Saturation) while the other is switched "fully-OFF" (cut-off) giving a very high level
of mutual amplification between the two transistors. Conduction is transferred from one stage to the other by the discharging action of
a capacitor through a resistor as shown below.
Basic Astable Multivibrator Circuit
Assume that transistor, TR1 has just switched "OFF" and its
collector voltage is rising towards Vcc, meanwhile transistor TR2
has just turned "ON". Plate "A" of capacitor C1 is also rising towards the +6 volts supply rail
of Vcc as it is connected to the collector of TR1. The other
side of capacitor, C1, plate "B", is connected to the base terminal of transistor
TR2 and is at 0.6v because transistor TR2 is
conducting therefore, capacitor C1 has a potential difference of 5.4 volts across it, 6.0 - 0.6v,
(its high value of charge).
The instant that transistor, TR1 switches "ON", plate "A"
of the capacitor immediately falls to 0.6 volts. This fall of voltage on plate "A" causes an equal and instantaneous fall
in voltage on plate "B" therefore plate "B" of the capacitor C1 is pulled down to
-5.4v (a reverse charge) and this negative voltage turns transistor
TR2 hard "OFF". One unstable state.
Capacitor C1 now begins to charge in the opposite direction via resistor
R3 which is also connected to the +6 volts supply rail, Vcc, thus the
case of transistor TR2 is moving upwards in a positive direction towards
Vcc with a time constant equal to the C1 x R3 combination. However, it
never reaches the value of Vcc because as soon as it gets to 0.6 volts positive, transistor
TR2 turns fully "ON" into saturation starting the whole process over again but now
with capacitor C2 taking the base of transistor TR1 to
-5.4v while charging up via resistor R2 and entering the
second unstable state. This process will repeat itself over and over again as long as the supply voltage is present.
The amplitude of the output waveform is approximately the same as the supply voltage,
Vcc with the time period of each switching state determined by the time constant of the
RC networks connected across the base terminals of the transistors. As the transistors are
switching both "ON" and "OFF", the output at either collector will be a square wave with slightly rounded corners because
of the current which charges the capacitors. This could be corrected by using more components as we will discuss later.
If the two time constants produced by C2 x R2 and C1 x R3
in the base circuits are the same, the mark-to-space ratio ( t1/t2 ) will be equal to
one-to-one making the output waveform symmetrical in shape. By varying the capacitors, C1, C2 or
the resistors, R2, R3 the mark-to-space ratio and therefore the frequency can be altered.
We saw in the RC Discharging
tutorial that the time taken for the voltage across a capacitor to fall to half the supply voltage, 0.5Vcc
is equal to 0.69 time constants of the capacitor and resistor combination. Then taking one side
of the astable multivibrator, the length of time that transistor TR2 is "OFF" will be
equal to 0.69T or 0.69 times the time constant of C1 x R3. Likewise,
the length of time that transistor TR1 is "OFF" will be equal to
0.69T or 0.69 times the time constant of C2 x R2 and this is defined as.
Astable Multivibrators Periodic Time
Where, R is in Ω's and C in Farads.
By altering the time constant of just one RC network the mark-to-space ratio and frequency of the
output waveform can be changed but normally by changing both RC time constants together at the same time, the output
frequency will be altered keeping the mark-to-space ratios the same at one-to-one.
If the value of the capacitor C1 equals the value of the capacitor, C2,
C1 = C2 and also the value of the base resistor R2 equals the value of the base resistor,
R3, R2 = R3 then the total length of time of the Multivibrators cycle is
given below for a symmetrical output waveform.
Frequency of Oscillation
Where, R is in Ω's, C is in Farads, T is in
seconds and ƒ is in Hertz.
and this is known as the "Pulse Repetition Frequency". So Astable Multivibrators can produce TWO very short
square wave output waveforms from each transistor or a much longer rectangular shaped output either symmetrical or non-symmetrical depending upon
the time constant of the RC network as shown below.
Astable Multivibrator Waveforms
An Astable Multivibrators circuit is required to produce a series of pulses at a frequency of 500Hz with a
mark-to-space ratio of 1:5. If R2 = R3 = 100kΩ's, calculate the values of the capacitors,
C1 and C2 required.
and by rearranging the formula above for the periodic time, the values of the capacitors required to give a mark-to-space
ratio of 1:5 are given as:
The values of 4.83nF and 24.1nF respectively, are calculated values,
so we would need to choose the nearest preferred values of C1 and C2 allowing for the tolerance.
In fact due to the wide range of tolerances associated with the humble capacitor the actual output frequency may differ by as much as ±20%,
(400 to 600Hz in our example).
If we require the output waveform to be non-symmetrical for use in timing or gating circuits etc, we can manually calculate
the values of R and C for the individual components required as we did in the example above.
However, when the two R's and Cīs are both equal, we can make our life a little easier by using
tables to show the astable multivibrators calculated frequencies for different combinations or values of both R and
C. For example,
Astable Multivibrator Frequencies with equal Resistor and Capacitor values
Pre-calculated frequency tables can be very useful in determining the required values of both
R and C for a particular symmetrical output frequency without the need
to keep recalculating them every time a different frequency is required. By changing the two fixed resistors for a
dual-ganged potentiometer and keeping the values of the capacitors the same, the frequency from the
Astable Multivibrators output can be more easily "tuned" to give a particular frequency value or to
compensate for the tolerances of the components used.
For example, selecting a capacitor value of 10nF from the table above. By using
a 100kΩ's potentiometer for our resistance, we would get an output frequency that can be fully
adjusted from slightly above 71.4kHz down to 714Hz, some 3 decades of frequency range. Likewise a capacitor value of
47nF would give a frequency range from 152Hz to well over 15kHz.
An Astable Multivibrator circuit is constructed using two timing capacitors of equal value of 3.3uF
and two base resistors of value 10kΩ. Calculate the minimum and maximum frequencies of oscillation if a 100kΩ dual-gang potentiometer
is connected in series with the two resistors.
with the potentiometer at 0%, the value of the base resistance is equal to 10kΩ.
with the potentiometer at 100%, the value of the base resistance is equal to 10kΩ + 100kΩ = 110kΩ.
Then the output frequency of oscillation for the astable multivibrator can be varied from between 2.0 and 22 Hertz.
When selecting both the resistance and capacitance values for reliable operation, the base resistors should have a value
that allows the transistor to turn fully "ON" when the other transistor turns "OFF". For example, consider the circuit above. When transistor
TR2 is fully "ON", (saturation) nearly the same voltage is dropped across resistor R3
and resistor R4.
If the transistor being used has a current gain, β of 100 and the collector load
resistor, R4 is equal to say 1kΩ the maximum base resistor value would therefore be 100kΩ. Any higher and
the transistor may not turn fully "ON" resulting in the multivibrator giving erratic results or not oscillate at all. Likewise, if the value
of the base resistor is too low the transistor may not switch "OFF" and the multivibrator would again not oscillate.
An output signal can be obtained from the collector terminal of either transistor in the Astable Multivibrators circuit with
each output waveform being a mirror image of itself. We saw above that the leading edge of the output waveform is slightly rounded and not square
due to the charging characteristics of the capacitor in the cross-coupled circuit.
But we can introduce another transistor into the circuit that will produce an almost perfectly square
output pulse and which can also be used to switch higher current loads or low impedance loads such as LED's or loudspeakers,
etc without affecting the operation of the actual astable multivibrator. However, the down side to this is that the output
waveform is not perfectly symmetrical as the additional transistor produces a very small delay. Consider the two circuits below.
Astable Multivibrators Driving Circuit
An output with a square leading edge is now produced from the third transistor, TR3
connected to the emitter of transistor, TR2. This third transistor switches "ON" and "OFF" in unison with
transistor TR2. We can use this additional transistor to switch
Light Emitting Diodes,
Relays or to produce a sound from a
Sound Transducer such as a speaker or piezo sounder as shown above.
The load resistor, Rx needs to be suitably chosen to take into account the forward volt drops and
to limit the maximum current to about 20mA for the LED circuit or to give a total load impedance of about 100Ω's for the speaker circuit.
The speaker can have any impedance less than 100Ω's. By connecting an additional transistor, TR4 to
the emitter circuit of the other transistor, TR1 in a similar fashion we can produce an astable multivibrator
circuit that will flash two sets of lights or LED's from one to the other at a rate determined by the time constant of the
RC timing network.
In the next tutorial about Waveforms and Signals, we will look at the different types
of Astable Multivibrators that are used to produce a continuous output waveform. These circuits known as relaxation
oscillators produce either a square or rectangular wave at their outputs for use in sequential circuits as either a clock pulse or
timing signal. These types of circuits are called Waveform Generators.