Page 2. New Audio Amplifiers
The Current Amplifier

The current amplifier drives the speakers. It has no effect upon the signal. It is the perfect black box which allows the voltage amplifier to drive a heavy load as if it were no load at all.
Basically, the current amplifier consists of four transistors. Two divide the signal at the input, and two create a push-pull output. The result is a totally symmetrical circuit, as shown in Figure 1.

Figure 1.   Current Amplifier.

Current can be supplied to the first stage through two resistors (at X and Y), when low voltages are used, but usually current sources will replace the resistors.

The current which flows through the output transistors when there is no signal is called "output quiescent current," and it is being represented by the symbol Ioq. It's value must be controlled when booster transistors are added, as with audio amplifiers.
The input and output transistors must consist of two matched pairs (NPN=NPN and PNP=PNP), because they must have the same base-emitter voltages. Their betas (hFE) must be similar, because it determines the amount of current that flows through them and thereby determines their base-emitter voltages. The betas can easily be matched within 5 or 10%, which is adequate, by using a digital voltmeter with a beta tester. In the absence of a beta tester, a breadboard can be used, as shown in this test circuit.

Betas do not have to be matched between opposite type transistors, but if they are, no input current will be seen under quiescent conditions, because all of it will flow out the base of one input transistor and back into the base of the other.
The power transistors are used as boosters, as shown in Figure 2. The boosters do not influence the output voltage; they increase current only.

Figure 2.   40V Current Amplifier for Audio.

This current amplifier is functional down to about 5V and up to 40V or ▒20V. It has a ripple rejection of 68 dB or better, increasing with the load.

The transistors Q5 and Q6 are current sources. They supply a constant current through their collectors, in this case about 2.7mA. More current is OK, if heat is no problem.

To calculate the current through the sources, there will be about 0.6V across the resistor at the emitters (220W), because there are 2 diodes from base to rail, each having 0.6V, and the base-emitter junction has about 0.6V.

The current which flows through the output transistors when there is no signal is called "output quiescent current," and it is being represented by the symbol Ioq. It's value must be controlled when booster transistors are added, as with audio amplifiers. It is measured as the voltage across either of the 120W resistors.

The Ioq of this current amplifier must be atleast 1 mA. It will be approximately the same as the current through the sources (2.7mA), when the input and output transistors have the same betas.

When the input and output betas are not matched, the Ioq will not be the same as the current through the sources. If the input transistors have the higher betas, the Ioq will be less than the current through the sources.

For example, consider these betas: Q1=135, Q2=125, Q3=185, Q4=165. The inputs are both higher than the outputs, so the Ioq will be less than 2.7mA - maybe 2.0mA. Q3 and Q4 should be reversed, which would increase the Ioq to something like 3.0mA.

If in doubt, the entire current amplifier can easily be set up on a breadboard for testing. Boosters can be omitted, but they should be safe if located close to the output transistors.

The size of the 120W resistors must be tailored to the Ioq, so the boosters are off during quiescent conditions. That means about 0.3-0.4V across those resistors. When the booster transistors heat up, their base-emitter voltage decreases; so there must be a wide margin in closing them.

The booster transistors are attached to aluminum for cooling. Wires going to them cause them to ring at 20-40MHz. Since ringing depends upon energy being stored in wires due to their inductance, it cannot occur at low frequency. Using short wires between boosters and the rest of the circuitry reduces the tendency to ring, but a complete absence of wiring is not totally feasible, and therefore capacitors (150pF) are used to limit the speed.

Those capacitors produce a very linear slew rate for the current amplifier, because they are acted upon by current sources. To determine the slew rate, the formula is V/S = I/C. It reads: volts per second equals current over capacitance. Slew rate is expressed as volts per microsecond; so the result is divided by 106. The current in the calculation is that produced by the sources.

For example, in the above circuit, the current is 2.7mA, and the capacitor is 150pF. So the slew rate is (I/C) 2.7x10-3/150x10-12/106 = 18V/ÁS. If need be, the slew rate could be set as low as 5V/ÁS and still be fast enough for audio purposes.

If wires to the boosters are 5 inches (12.5cm) long or more, only trial and error can determine the requirements for controlling the ringing. Bunching of wires to the boosters increases ringing, and therefore, headers should not be used. The recommended procedure is to put the entire current amplifier on the same aluminum plate as the boosters, as shown later. Besides making ringing easy to control, it eliminates a clutter of wires.

Long power supply wires also contribute to ringing; but they only become significant when long wires go to the boosters. Because of such complexities, precarious circuits should only be tried when a scope is being used.

The ringing must be thoroughly controlled, because it will cause the boosters to lock open and burn out. Under precarious conditions, the ringing might appear to be controlled when testing with a resistive load; and then speakers with long wires will cause ringing to break out. But with the conservative designs shown, the ringing is easy to control.
The Basic Audio Amplifier.

10 watt amp

Figure 3. shows the simplest form of the audio amplifier. It uses a single op amp and a moderately high impedance (220K) feedback resistor, so input current is low. The input current is calculated as the maximum output voltage divided by the feedback resistor. The feedback resistor could be reduced to 47K and still only draw 0.35mA of input current, which should be acceptable.

Figure 3. Basic Audio Amplifier.

The current amplifier can be included in the feedback loop as shown, which removes offset voltage at the output. Or feedback can go from the op amp output back to the input. There would be a few tenths of a volt across Rx creating output offset, but that amount should be no problem; so the feedback resistor can be connected to the output of the op amp (removing the C.A. from the feedback loop), which increases stability, if circuits are precarious, like a lot of wiring to the boosters.

The volume control is used on the inverting input, which minimizes gain and simplifies. A noninverting volume control could be used. With the inverting volume control shown, the potentiometer should be about twice the size of the smallest input resistor, and never more than five times as large. The reason is because it produces its own logarithmic taper in proportion to the input resistor. Everything above the wiper is added to the input resistance in determining the gain. So if the potentiometer is five times large than the input resistor, the gain is reduced to half, when the volume control is only 20% down.

The gain formula for the inverting amplifier is the feedback resistor divided by the input resistor. The gain on the offset voltage is the feedback resistor divided by the size of the volume control potentiometer. It is low enough that no trimming of offset voltage is necessary.

The feedback capacitor compensates for input capacitance and stray capacitance which produce overshoot. Overshoot shows up as a spike on the leading edge of a square wave. It does not show up on a sine wave; but removing it seems like the prudent thing to do, particularly if the amplifier is going to be used for laboratory purposes.

If a scope is not being used, the following formula indicates the approximate amount of feedback capacitance required to compensate for input capacitance. If there is stray capacitance on the board, an additional picofarad or two might be needed to compensate for it.

picofarads (feedback)  =    
feedback resistor
If your browser doesn't read tables, it says "picofarads (feedback) equals 1000 divided by the square root of the feedback resistor."

Stray capacitance is caused by the proximity of other voltages, including ground, to the high impedance area of the inverting input. The high impedance area is that part of the wiring which is isolated by large resistors. The mass of wire on the inverting input also contributes to stray capacitance.

Stray capacitance should be minimized by keeping at least 2mm of space around the inverting input, and even more around wires connected to it, and by minimizing the length of wire connected to it. When the volume control connects to the input, the op amp is located near the potentiometer, and a stiff wire goes to it for straight line routing.

The noninverting input is not affected by stray capacitance. Sometimes a resistor is connected to it for protection, as shown; but it should not be necessary with FET inputs.

The feedback capacitor reduces the bandwidth in proportion to its size and the impedance. The following table shows the largest feedback capacitor that can be used with a particular feedback resistor, while maintaining a flat bandwidth up to 20KHz.

feedback resistor 18k 47k 100k 220k
feedback capacitor   100pF 27pF 10pF 5pF
Above 220k, the bandwidth depends upon stray capacitance. With a clean board, a 1 meg resistor will allow a 20kHz bandwidth.

When the C.A. slew rate is reduced to 5V/ÁS, the overshoot spike is increased; and then the feedback capacitor is increased by 50% or more. Current through the sources should also be increased when increased stability is needed.

In determining the number of gain positions to use, here are some general concepts. The lowest gain is most convenient around 3 to 5. The highest gain should be able to produce full output voltage from signals as low as ▒0.2V. A typical signal is ▒0.5V. Since a bridge amplifier produces four times as much wattage from any voltage, its gain should start lower; but the size of increments should be the same as for other amplifiers.

The smallest step desirable for each gain increment is a factor of 2, the largest, a factor of 4. When a rotary switch is used, I would suggest a factor of 3, which reduces switching compared to a factor of 2. With the 10W amplifier, a toggle for gain select is highly convenient. The low gain is then set at about 10 or 15, and high gain at about 50. That much jump between gains is not ideal; but the convenience of a toggle justifies it.

With high gain and low impedance circuitry, the input resistor gets small; and additional resistance on the line must be taken into account. For example, I put a 1k resistor on each line as it comes in to protect sources from shorting in the mono mode. The 1k resistor becomes significant when the input resistor is small. If the input resistor is supposed to be 4.7k, substitute 3.9k; and the total with line resistance will be 4.9k.
Op Amp Current Amplifier.

Nearly all op amps would benefit greatly from current amplifiers at the output. This not only hardens the output but creates stability and symmetry while reducing rail voltage. This would allow low current and low drift op amps to drive difficult loads.

There is a real need for this, which shows up with ac loads. The wave shape is often distorted due to the lousy outputs which normally exist. To cope with this problem, designers are forced to use hard driving op amps which do not have the best drift characteristics. With the current amplifier, drift does not have to be sacrificed for demanding ac loads.

Figure opc.   Op Amp Current Amplifier.

This current amplifier has low current levels for integrating into the chip. If you add this circuit to an op amp using discrete transistors, you can add more current by making the resistors smaller.

Be sure to match betas on input and output transistors. On an IC, they should match very well.

When this current amplifier is integrated into the op amp chip, the normal output protection can be eliminated. The diodes used with the current amplifier are much superior to normal protection, being faster and more stable.

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