Unit 5
Multivibrator
Figure 1. Transistor as Switch When bias is applied to the base of the transistor both the types in bipolar junction transistor are used as switches. The areas at which the operation of the switch is preferred is either it should be completely in the region called saturation or the cut-off operating region. Key Take Aways: A transistor can be extensively used for switching operation either for opening or closing of a circuit. |
Current gain: In any circuit, the current gain of a transistor is an important parameter. Current gain is usually referred to as a β or hfe. Current is the ratio of the base current to the collector current and a measure of the amplifying ability of the transistor. Collector-Emitter Voltage (VCEO) VCEO is the maximum voltage that the collector-emitter junction of a transistor can handle. For most of the transistors, VCEO is usually 30V or more and measured with the base open circuit. Applying a higher voltage than VCEO can damage your transistor. VEBO is the maximum voltage that can be applied across the emitter-base junction. Higher voltage than the VEBO can damage or destroy your transistor. VCBO is the maximum voltage that can be applied across the collector-base junction, and it is measured with the emitter open circuit. VCBO is usually 50V or more. Collector current is the maximum current that can flow through the collector. It is generally defined in milliamps, but for high power transistors, it is defined in amps. Total Power Dissipation (Ptot) It is the total power dissipated by the transistor. Power dissipation varies by a transistor to a transistor. For small transistors, the power rating is on the order of a few hundred milliwatts, but for high power transistors, it is defined in watts.
Key Take Aways These are the important parameters while selecting a transistor.
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Multivibrator is an electronic circuit which is used to implement a variety of two state systems such as oscillators, timers, and flip-flops. It is characterized by two amplifying devices transistors, electron tubes or other devices cross coupled by resistors or capacitors.
Figure 2. Astable Multivibrator Astable is known as free running multivibrator, sometimes called as square wave generator. The circuit has two quasi -stable states that is no stable state. Thus, three is an oscillation between two state, hence no external signals are required to produce change in state. Astable circuits are used to generate square wave for example clock generators in digital system. 2. Mono stable multivibrator
Figure 3. Mono stable miltivibrator The mono stable or one -shot multivibrator generates signal pulse of specified duration to each external trigger. Here only one stable state exists. On the application of each trigger there lies a change to quasi stable state. The circuit remains in the quasi -stable state for a fixed interval of time and then reverts to its original stable state. The internal trigger signal generated produces the transition to stable state. Usually, the charging and discharging of capacitor provides the internal trigger signal. 3. Bistable multivibrator
Figure 4. Bistable multivibrator It is called as bistable latch of flip flops. Schmitt trigger is another bistable circuit which is an important property of the bistable multivibrator where it maintains the given output voltage level unless an external signal is applied. Application of external signal causes a change of state and this output level is maintained indefinitely until a second trigger is applied. Thus a bistable multivibrator requires two external trigger before it returns to its initial state. Key Take Away: A multivibrator circuit oscillates between a “HIGH” state and a “LOW” state producing a continuous output. |
A type of multivibrator whose output consists of 2 stable states is known as Bistable Multivibrator. The circuit switches from one stable state to the other when an appropriate trigger pulse is applied. Fixed Bias Multivibrator
Figure 5. Fixed Bias Multivibrator
In fixed-bias bistable multivibrators the device is biased by two different sources. The circuit consists of two identical transistors Q1 and Q2 and the output of each is given as input to the other. R1 and R2 are the part of the feedback network. The collector resistances RC1 and RC2 are equal. Working:
The output of the bistable multivibrator is shown below:
Figure 6. Output Waveform Key Take Away: In fixed-bias bistable multivibrators, the device is biased by using two different sources. Self -Bias Multivibrator Bistable multivibrator using self- bias is as shown in figure. This multivibrator uses common emitter resistor RE to provide self- biasing. The need of two power supplied in fixed biased multivibrator is eliminated in self bias binary. The working and operation of self- bias bistable multivibrator is same as that of fixed bias binary.
Figure7. Self-Bias Multivibrator |
The monostable multivibrator is called as the one-shot multivibrator. The circuit produces a single pulse of specified duration in response to each external trigger signal. For such a circuit, only one stable state exists. When an external trigger is applied, the output changes its state. The new state is called as a quasi-stable state. The circuit remains in this state for a fixed interval of time. After some time it returns back to its original stable state with the help of internal trigger signal . Usually, the charging and discharging of a capacitor provide this internal trigger signal.
Figure 8. Monostable Multivibrator
Operation of the Circuit (i). To understand the operation of the circuit, let us assume that the output Vo is at +Vsat that is in its stable state. (ii). The diode D1 (Connected across Capacitor) conducts and the voltage across the capacitor C - Vc gets clamped to 0.7 Volts. (iii). The voltage at the non-inverting terminal is controlled by voltage divider circuit of R1 and R2
Figure 9. Output Waveform Voltage at non-inverting terminal (VB2) = β Vo β= R2/ R1 + R2 (iv). If VT , a negative trigger of amplitude VT is applied to the non-inverting terminal, so that the effective voltage at this terminal is less than 0.7 V then the output of the Op-amp changes its state from to + Vsat to -Vsat . (v). The diode is now reverse biased and the capacitor starts charging exponentially to -Vsat through resistance R. (vi). The voltage at the non-inverting terminal is now -βVsat. When the capacitor voltage becomes just slightly more negative than -βVsat , the output of the Op-amp changes its state back to + Vsat (vii). The capacitor now starts charging towards + Vsat through R until Vc reaches 0.7V as capacitor gets clamped to the voltage Expression for pulse width T Initial voltage ( at t=0 ) across Capacitor = Vco = VD1 Figure 10. RC circuit The supply Voltage is the output voltage Vs = Vo = -Vsat Voltage across Capacitor at time t is given by the eq Vc(t) = VD1 e -t/RC + Vo(1 -e -t/RC) At time t=T Vo= -Vsat Vc(T) = - βVsat Vc(t) = ( VD1 – Vo) e -t/RC + Vo - βVsat = (VD1 + Vsat ) e -T/RC – Vsat T = RC ln (1 + VD1 / Vsat ) / 1 - β β=R2 / R1 + R2 If Vsat >> VD1 and R1 = R2 T= 0.69 RC For Monostable operation, the trigger pulse width Tp should be much less than T. Astable multivibrator:
Figure11. Astable Multivibrator
Let us assume that the capacitor is fully discharged and the output of the op-amp is saturated at the positive supply rail. The capacitor, C starts to charge up from the output voltage, Vout through resistor, R at a rate determined by their RC time constant. In RC circuits that the capacitor charges up fully to the value of Vout which is +V(sat)). However, as soon as the capacitors charging voltage at the op-amps inverting (-) terminal is equal to or greater than the voltage at the non-inverting terminal, thus the output will change state and be driven to the opposing negative supply rail. The sudden reversal of the output voltage causes the capacitor to discharge toward the new value of Vout at a rate dictated again by their RC time constant. Figure 12. Multivibrator voltage Once the op-amps inverting terminal reaches the new negative reference voltage, -Vref at the non-inverting terminal, the op-amp once again changes state and the output is driven to the opposing supply rail voltage, +V(sat). The capacitor sees a positive voltage across its plates and the charging cycle begins again. Thus, the capacitor is constantly charging and discharging creating an astable op-amp multivibrator output. The period of the output waveform is determined by the RC time constant of the two timing components and the feedback ratio established by the R1, R2 voltage divider network which sets the reference voltage level. If the positive and negative values of the amplifiers saturation voltage have the same magnitude, then t1 = t2 and the expression to give the period of oscillation becomes: β=R2/ R1 + R2 T = 2 RC x ln(1+β/1-β) since f=1/T Where: R is Resistance, C is Capacitance, The frequency of oscillation for an Op-amp Multivibrator circuit not only depends upon the RC time constant but also upon the feedback fraction. However, if we used resistor values that gave a feedback fraction of 0.462, (β = 0.462), then the frequency of oscillation of the circuit would be equal to just 1/2RC as shown because the linear log term becomes equal to one. Op-amp Multivibrator Example No1 An op-amp multivibrator circuit is constructed using the following components. R1 = 35kΩ, R2 = 30kΩ, R = 50kΩ and C = 0.01uF. Calculate the circuits frequency of oscillation. β=R2/ R1 + R2 = 30K/ 35K + 30K =0.462 T = 2RC ln(1+β/1-β) = 2RC ln (1+0.462/1-0.462) T = 2 x (50K Ω x 0.01x μF) x ln (2.717) T = 0.001 x 1 = 0.001 sec or 1 msec f = 1/T = 1/0.001 = 1,000 Hz or 1kHz
Key Take Away:
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References:
- Fundamentals of Analog Circuits (English, Paperback, Floyd Thomas L.)
3. Analog Electronics by J.B Gupta
4. Design with Operational Amplifier and Analog Integrated Circuits by Sergio Franco.