The Transistor Amplifier


Choosing Component Values.




bias.gif - 9Kb

From ‘rule 1’ we can now say that we want the base voltage, , to be around 5·6 volts. The two base resistors act as a sort of potential divider and we can choose their values to set the voltage we require. To do this we need to use Ohms Law and recognise that the current through provides the base current and the current which goes on through .


From ‘rule 3’ we can also say that we require since the currents in these resistors will be almost exactly the same and we want to have 5 volts across each of them (Ohm's Law).

In the previous section you measured your transistor's value at a particular point on its curves ( mA, V). So let's choose to try and set the amplifier up with a collector current of about 2mA. We therefore want the currents passing through and to be 2mA. You now know the current in each of these resistors and the voltage across each of them. Using Ohm's Law, what values do you calculate are required for and ? What is the closest ‘E12’ series value available in the lab? Use this value for the emitter and collector resistor in your circuit.

Part of the current flowing through will continue on through and part will enter the transistor to provide its base current. . Using Ohm's Law again we can say that

equation

where we know that, for to be 5 volts, we want volts, so we can say that

equation

This gives us two equations but we have three unknowns, , , and . To proceed any further we have to choose a sensible value for one of these.

The best way to proceed is to choose a value for the current, , which passes through both resistors. In theory, we can choose any value we like. However, in practice it turns out to be a good idea to choose a value since this means that the voltages across the resistors are largely determined by . This means that any slight changes in won't mean we've got the wrong results. However, we don't want to be too big. The reason for this is that we would get a large current by using very low resistance values. These would make it difficult to apply an input ac voltage when using the amplifier.

In practice the simplest convenient choice is to pick something like so I suggest you choose that. Note, however, that you could choose almost anything from up to and it would still probably be possible to make the amplifier work despite having chosen very different currents and resistor values!

Note. Here I will assume you found that (‘rule 2’). You can follow the argument I describe below, but substitute the you measured to get the correct results for your transistor.

A current gain of 400 means that at mA the current entering the transistor's base is A. Multiplying this by 25 we get 125A. Putting this into the above equations we get k and k. What values do you get for your transistor? What are the closest E12 series values available to use in your circuit?

You should now have values for , , , and . However, we now need to decide what to do with ...

is actually quite important as it turns out to control the voltage gain of the amplifier. To understand why this is true, have another look at figure 6 and consider what happens when we quickly waggle the input voltage up an down with an ac signal. In order to change the voltage across we also have to change the voltage across as they are connected in parallel. To change the voltage across we have to move charge in or out of the capacitor. This takes time. So if we keep changing our mind and waggling the input voltage up and down quickly we don’t give this a chance to happen.

As a result, for ‘quick’ variations effectively ‘clamps’ the voltage at the top of and won’t allow it to change. The transistor’s base-emitter voltage remains about 0·6V. Hence the changes in input voltage mostly appear as changes in the voltage across .

An input ac voltage, , therefore tends to produce an ac current variation in of

equation

Since is relatively tiny (hundreds of times smaller than or ) we now expect the same current fluctuation to appear in . So the voltage across the collector resistor will vary by an amount

equation

So it is the ratio of these two resistors that tends to control the voltage amplification factor (gain) of the circuit.

Now, provided we choose a value for which reasonably small compared to , we can leave the other resistor values alone and not worry that we have changed the DC levels very much. A small value will also mean a high gain.

excla.gif - 1141 bytes What value of will give your amplifier a voltage gain of around × 20?


excla.gif - 1141 bytes Choose the nearest E12 resistor value for your circuit. What value is this, and what value of gain do you it expect it to provide?







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University of St. Andrews, St Andrews, Fife KY16 9SS, Scotland.