| Class B audio amplifierPARTS AND MATERIALS  
                      
                      Four 6 volt batteries 
                      Dual operational amplifier, model TL082 
                      recommended (Radio Shack catalog # 276-1715) 
                      One NPN power transistor in a TO-220 
                      package -- (Radio Shack catalog # 276-2020 or equivalent)
                      
                      One PNP power transistor in a TO-220 
                      package -- (Radio Shack catalog # 276-2027 or equivalent)
                      
                      One 1N914 switching diode (Radio Shack 
                      catalog # 276-1620) 
                      One capacitor, 47 �F electrolytic, 35 WVDC 
                      (Radio Shack catalog # 272-1015 or equivalent) 
                      Two capacitors, 0.22 �F, non-polarized 
                      (Radio Shack catalog # 272-1070) 
                      One 10 kΩ potentiometer, linear taper 
                      (Radio Shack catalog # 271-1715)  Be sure to use an op-amp that has a high 
                    slew rate. Avoid the LM741 or LM1458 for this reason.
                     The closer matched the two transistors are, 
                    the better. If possible, try to obtain TIP41 and TIP42 
                    transistors, which are closely matched NPN and PNP power 
                    transistors with dissipation ratings of 65 watts each. If 
                    you cannot get a TIP41 NPN transistor, the TIP3055 
                    (available from Radio Shack) is a good substitute. Do not 
                    use very large (i.e. TO-3 case) power transistors, as the 
                    op-amp may have trouble driving enough current to their 
                    bases for good operation.    CROSS-REFERENCES  Lessons In Electric Circuits, Volume 
                    3, chapter 4: "Bipolar Junction Transistors"  Lessons In Electric Circuits, Volume 
                    3, chapter 8: "Operational Amplifiers"    LEARNING OBJECTIVES  
                      
                      How to build a "push-pull" class B 
                      amplifier using complementary bipolar transistors 
                      The effects of "crossover distortion" in a 
                      push-pull amplifier circuit 
                      Using negative feedback via an op-amp to 
                      correct circuit nonlinearities    SCHEMATIC DIAGRAM  
                      
 
 ILLUSTRATION  
                      
 
 INSTRUCTIONS  This project is an audio amplifier suitable 
                    for amplifying the output signal from a small radio, tape 
                    player, CD player, or any other source of audio signals. For 
                    stereo operation, two identical amplifiers must be built, 
                    one for the left channel and other for the right channel. To 
                    obtain an input signal for this amplifier to amplify, just 
                    connect it to the output of a radio or other audio device 
                    like this:  
                      This amplifier circuit also works well in 
                    amplifying "line-level" audio signals from high-quality, 
                    modular stereo components. It provides a surprising amount 
                    of sound power when played through a large speaker, and may 
                    be run without heat sinks on the transistors (though you 
                    should experiment with it a bit before deciding to forego 
                    heat sinks, as the power dissipation varies according to the 
                    type of speaker used).  The goal of any amplifier circuit is to 
                    reproduce the input waveshape as accurately as possible. 
                    Perfect reproduction is impossible, of course, and any 
                    differences between the output and input waveshapes is known 
                    as distortion. In an audio amplifier, distortion may 
                    cause unpleasant tones to be superimposed on the true sound. 
                    There are many different configurations of audio amplifier 
                    circuitry, each with its own advantages and disadvantages. 
                    This particular circuit is called a "class B," push-pull 
                    circuit.  Most audio "power" amplifiers use a class B 
                    configuration, where one transistor provides power to the 
                    load during one-half of the waveform cycle (it pushes) 
                    and a second transistor provides power to the load for the 
                    other half of the cycle (it pulls). In this scheme, 
                    neither transistor remains "on" for the entire cycle, giving 
                    each one a time to "rest" and cool during the waveform 
                    cycle. This makes for a power-efficient amplifier circuit, 
                    but leads to a distinct type of nonlinearity known as 
                    "crossover distortion."  Shown here is a sine-wave shape, equivalent 
                    to a constant audio tone of constant volume:  
                      In a push-pull amplifier circuit, the two 
                    transistors take turns amplifying the alternate half-cycles 
                    of the waveform like this:  
                      If the "hand-off" between the two 
                    transistors is not precisely synchronized, though, the 
                    amplifier's output waveform may look something like this 
                    instead of a pure sine wave:  
                      Here, distortion results from the fact that 
                    there is a delay between the time one transistor turns off 
                    and the other transistor turns on. This type of distortion, 
                    where the waveform "flattens" at the crossover point between 
                    positive and negative half-cycles, is called crossover 
                    distortion. One common method of mitigating crossover 
                    distortion is to bias the transistors so that their 
                    turn-on/turn-off points actually overlap, so that both 
                    transistors are in a state of conduction for a brief moment 
                    during the crossover period:  
                      This form of amplification is technically 
                    known as class AB rather than class B, because each 
                    transistor is "on" for more than 50% of the time during a 
                    complete waveform cycle. The disadvantage to doing this, 
                    though, is increased power consumption of the amplifier 
                    circuit, because during the moments of time where both 
                    transistors are conducting, there is current conducted 
                    through the transistors that is not going through the 
                    load, but is merely being "shorted" from one power supply 
                    rail to the other (from -V to +V). Not only is this a waste 
                    of energy, but it dissipates more heat energy in the 
                    transistors. When transistors increase in temperature, their 
                    characteristics change (Vbe forward voltage drop, 
                    β, junction resistances, etc.), making proper biasing 
                    difficult.  In this experiment, the transistors operate 
                    in pure class B mode. That is, they are never conducting at 
                    the same time. This saves energy and decreases heat 
                    dissipation, but lends itself to crossover distortion. The 
                    solution taken in this circuit is to use an op-amp with 
                    negative feedback to quickly drive the transistors through 
                    the "dead" zone producing crossover distortion and reduce 
                    the amount of "flattening" of the waveform during crossover.
                     The first (leftmost) op-amp shown in the 
                    schematic diagram is nothing more than a buffer. A buffer 
                    helps to reduce the loading of the input capacitor/resistor 
                    network, which has been placed in the circuit to filter out 
                    any DC bias voltage out of the input signal, preventing any 
                    DC voltage from becoming amplified by the circuit and sent 
                    to the speaker where it might cause damage. Without the 
                    buffer op-amp, the capacitor/resistor filtering circuit 
                    reduces the low-frequency ("bass") response of the 
                    amplifier, and accentuates the high-frequency ("treble").
                     The second op-amp functions as an inverting 
                    amplifier whose gain is controlled by the 10 kΩ 
                    potentiometer. This does nothing more than provide a volume 
                    control for the amplifier. Usually, inverting op-amp 
                    circuits have their feedback resistor(s) connected directly 
                    from the op-amp output terminal to the inverting input 
                    terminal like this:  
                      If we were to use the resulting output 
                    signal to drive the base terminals of the push-pull 
                    transistor pair, though, we would experience significant 
                    crossover distortion, because there would be a "dead" zone 
                    in the transistors' operation as the base voltage went from 
                    + 0.7 volts to - 0.7 volts:  
                      If you have already constructed the 
                    amplifier circuit in its final form, you may simplify it to 
                    this form and listen to the difference in sound quality. If 
                    you have not yet begun construction of the circuit, the 
                    schematic diagram shown above would be a good starting 
                    point. It will amplify an audio signal, but it will sound 
                    horrible!  The reason for the crossover distortion is 
                    that when the op-amp output signal is between + 0.7 volts 
                    and - 0.7 volts, neither transistor will be conducting, and 
                    the output voltage to the speaker will be 0 volts for the 
                    entire 1.4 volts span of base voltage swing. Thus, there is 
                    a "zone" in the input signal range where no change in 
                    speaker output voltage will occur. Here is where intricate 
                    biasing techniques are usually introduced to the circuit to 
                    reduce this 1.4 volt "gap" in transistor input signal 
                    response. Usually, something like this is done:  
                      The two series-connected diodes will drop 
                    approximately 1.4 volts, equivalent to the combined Vbe 
                    forward voltage drops of the two transistors, resulting in a 
                    scenario where each transistor is just on the verge of 
                    turning on when the input signal is zero volts, eliminating 
                    the 1.4 volt "dead" signal zone that existed before.  Unfortunately, though, this solution is not 
                    perfect: as the transistors heat up from conducting power to 
                    the load, their Vbe forward voltage drops will 
                    decrease from 0.7 volts to something less, such as 0.6 volts 
                    or 0.5 volts. The diodes, which are not subject to the same 
                    heating effect because they do not conduct any substantial 
                    current, will not experience the same change in forward 
                    voltage drop. Thus, the diodes will continue to provide the 
                    same 1.4 volt bias voltage even though the transistors 
                    require less bias voltage due to heating. The result will be 
                    that the circuit drifts into class AB operation, where 
                    both transistors will be in a state of conduction part 
                    of the time. This, of course, will result in more heat 
                    dissipation through the transistors, exacerbating the 
                    problem of forward voltage drop change.  A common solution to this problem is the 
                    insertion of temperature-compensation "feedback" resistors 
                    in the emitter legs of the push-pull transistor circuit:  
                     This solution doesn't prevent simultaneous 
                    turn-on of the two transistors, but merely reduces the 
                    severity of the problem and prevents thermal runaway. It 
                    also has the unfortunate effect of inserting resistance in 
                    the load current path, limiting the output current of the 
                    amplifier. The solution I opted for in this experiment is 
                    one that capitalizes on the principle of op-amp negative 
                    feedback to overcome the inherent limitations of the 
                    push-pull transistor output circuit. I use one diode to 
                    provide a 0.7 volt bias voltage for the push-pull pair. This 
                    is not enough to eliminate the "dead" signal zone, but it 
                    reduces it by at least 50%:  
                      Since the voltage drop of a single diode 
                    will always be less than the combined voltage drops of the 
                    two transistors' base-emitter junctions, the transistors can 
                    never turn on simultaneously, thereby preventing class AB 
                    operation. Next, to help get rid of the remaining crossover 
                    distortion, the feedback signal of the op-amp is taken from 
                    the output terminal of the amplifier (the transistors' 
                    emitter terminals) like this:  
                      The op-amp's function is to output whatever 
                    voltage signal it has to in order to keep its two input 
                    terminals at the same voltage (0 volts differential). By 
                    connecting the feedback wire to the emitter terminals of the 
                    push-pull transistors, the op-amp has the ability to sense 
                    any "dead" zone where neither transistor is conducting, and 
                    output an appropriate voltage signal to the bases of the 
                    transistors to quickly drive them into conduction again to 
                    "keep up" with the input signal waveform. This requires an 
                    op-amp with a high slew rate (the ability to produce 
                    a fast-rising or fast-falling output voltage), which is why 
                    the TL082 op-amp was specified for this circuit. Slower 
                    op-amps such as the LM741 or LM1458 may not be able to keep 
                    up with the high dv/dt (voltage rate-of-change over time, 
                    also known as de/dt) necessary for low-distortion 
                    operation.  Only a couple of capacitors are added to 
                    this circuit to bring it into its final form: a 47 �F 
                    capacitor connected in parallel with the diode helps to keep 
                    the 0.7 volt bias voltage constant despite large voltage 
                    swings in the op-amp's output, while a 0.22 �F capacitor 
                    connected between the base and emitter of the NPN transistor 
                    helps reduce crossover distortion at low volume settings:
                     
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