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1. Bipolar transistors

This chapter deals with the BIPOLAR transistor, which is considered to be the "normal" transistor. Besides it there are other types of transistors, like the field effect transistor or the unijunction transistor, which will be dealt with later.

The bipolar transistor received its name from the fact, that the current has to flow through P and N doped layers.



1.1 The principle of the transistor

1.1.1 Types of transistors

As for diodes, either GERMANIUM or SILICON may be used as semiconducting material for transistors. The first transistors were made of germanium, as the technology for silicon transistors was not yet available. When silicon transistors were introduced, they very quickly replaced the germanium types, as in general they give better performance. Nowadays germanium transistors are only used for a few special applications, but they are still found in older equipment.

Transistors consist of three semiconductor layers, doped in a N-P-N or a P-N-P order. This gives another distinction for two different types of transistors. PNP and NPN transistors have the same behaviour, only that the directions of all voltages and currents are inverse. We will mainly deal with the NPN type in this chapter, as it is the type more commonly used.


1.1.2 The physical principle

This section can only give a rough introduction to the physical principle of the transistor, as the understanding of all of the details would require a large physical background.

The transistor is constructed of three layers of different doping, either in a NPN or a PNP order.

The three layers form two junctions. Each junction on its own behaves as a normal diode. Because of this, the transistor could be represented by two diodes. But it should be pointed out, that the two junctions of the transistor act together and produce a completely new characteristic. This characteristic can not be achieved by two diodes.

The three terminals of the transistor are connected to the three layers. They are called COLLECTOR, BASE and EMITTER. These names have purely historical reasons.

The base is an extremely thin layer of opposite doping as the collector and the emitter. (P for NPN type transistors and N for PNP type transistors)

The collector and the emitter have equal type of doping, still they may not be interchanged, as their grade of doping is different.

PNP and NPN transistor in a graphical representation
Fig. 1.1.2.1:
The three layers of the PNP and the NPN transistor in a graphical representation. For the function of the transistor it is essential, that the base layer is extremely thin.




Diode representation for the PNP and NPN transistors
Fig. 1.1.2.2:
The equivalent diode representation for the PNP and NPN transistors. Note that this representation only shows the behaviour of each SINGLE junction. Together these junctions act differently than ordinary diodes.




Circuit symbols used for transistors
Fig. 1.1.2.3:
The circuit symbols used for transistors. There are different symbols in use.


To describe what happens within a transistor we will consider the case of a NPN transistor:

First we will consider the transistor to be connected to a circuit in such a way, that the positive voltage is connected to the collector and the negative to the emitter. The base is left unconnected.

A forward voltage will appear across the base-emitter junction, making it conducting. But the base-collector junction will face a reverse voltage, thus this junction is blocked.

All of the holes of the base (which, we should keep in mind, is very thin!) are filled up with electrons from the emitter, making the base practically nonconducting. In the collector the barrier zone is vacated from electrons, making also this area nonconducting.

Applying a voltage to the base which is negative in respect to the emitter, this situation would even increase.

A NPN transistor, connected with its collector and emitter to a circuit
Fig. 1.1.2.4:
A NPN transistor, connected with its collector and emitter to a circuit. The base is left unconnected. A nonconducting barrier zone will build up between base and collector. No current flows.


Now we will apply a positive voltage to the base. As soon as this voltage exceeds the barrier voltage of the base-emitter diode (is about0.5V for silicon), a current will start to flow. Electrons are now moving from the emitter to the base. As the emitter is much stronger doped than the base, more electrons than there are holes in the base "flood" in from the emitter.

The electrons, which find no place in the crystal structure of the base, can very easily be taken away from the base. These electrons come under the influence of the barrier zone of the collector, which is still bare of electrons. This barrier zone strongly attracts electrons in order to fill up its crystal grid structure and thus pulls the electrons from the base into the collector. This will even happen, if the base is more positive than the collector.

As soon as the electrons enter the collector, they are attracted by the positive voltage of the collector and flow to the positive pole. The number of these electrons, moving to the collector, is much bigger than the number of those, leaving the base via the "ordinary" path, the base terminal.

Thus a small current flowing into the base is able to control a current up to 500 times bigger, flowing into the collector.

The big collector current, controlled by the small base current
Fig. 1.1.2.5:
This diagram should represent the small base current, controlling the big collector current.
As the base current is very small, the emitter current can be assumed to be approximately equal to the collector current.



1.1.3 Transistor's voltages and currents

To use the transistor it must be connected together with other circuit element in a circuit.

The basic application of a transistor is, that it controls the current through some other circuit element. This circuit element is called the "LOAD" of the transistor. As general case we will assume this load to be a resistor RC.

As the current to be controlled flows from the collector to the emitter, the load has to be connected to the collector.

Then a supply voltage (UB) is necessary to get the current to flow through load and transistor. For NPN transistors this voltage has to be positive at the load and negative at the emitter, for PNP transistors it has to be inverse.

The load current or collector current IC will be controlled by the base current IB. In order to make a collector current flow, for a NPN transistor a POSITIVE current has to flow INTO the base. For a PNP transistor a NEGATIVE current has to flow INTO the base. (This means in fact that a positive current flows out of the base!).

When a base current IB flows, it flows in the forward direction through base emitter diode. Thus the base emitter voltage UBE lies in the range of the forward diode voltages for germanium or silicon diodes.

NPN and PNP transistor in a circuit, with relevant currents and voltages
Fig. 1.1.3.1:
The NPN and the PNP transistor in a circuit, with the relevant currents and voltages.


The base current IB controls the collector current IC. The voltage across RC will depend on the collector current. So does the voltage between collector and emitter UCE. UCE will be equal to the supply voltage UB, if no collector current flows, and it will be almost 0, if the maximum collector current flows.


1.1.4 The active region

We will now vary the base current to control the current to the load. If we measure the collector current IC and the base current IB at the same time, we will see, that they vary approximately proportional.

The Collector current as function of the base current
Fig. 1.1.4.1:
The collector current IC as function of the base current IB. The two are more or less proportional over a fairly wide range. As IC is bigger than IB, current amplification takes place.


When the current IC is increasing, the voltage across the transistor UCE is decreasing. When this voltage gets to small, e.g. below 1V, we see that the collector current and the base current will not be proportional anymore.

Next we will try to vary the collector current by varying the collector-emitter voltage UCE. This can be done by varying the supply voltage to the circuit. The base current IB will be kept constant.

We will see that the voltage UCE has very little influence on the collector current. The output of the transistor does not behave as a resistor, but as a current source. The source current is controlled by the base current.

The collector current as a function of the voltage
Fig. 1.1.4.2:
The collector current IC as a function of the voltage UCE, shown for different base currents. It can be seen, that over a fairly wide range of UCE the collector current changes little. Obviously IC depends mainly on IB, but little on UCE.


Only when the collector emitter voltage get to low, e.g. below 1V, the collector current will start to depend strongly on the collector emitter voltage.

If the transistor is operated in such a way, that the collector current is mainly controlled by the base current and depends only little on the collector-emitter voltage, we say it is operated in the ACTIVE REGION.

When a transistor is used as amplifier, it is normally operated in the active region.


1.1.5 The saturation region

In the previous section it was seen already, that when the collector-emitter voltage gets to low, the collector current will not be entirely dependent on the base current any more. We will now take a closer look at this case.

We will again control the current through a load resistor, by varying the base current. If we increase the base current, the load current increases, the voltage across RL increases and the collector-emitter voltage decreases. We are still in the active region.

When the base current has been increased that far, that the collector-emitter voltage gets lower than 1V, we will find that the collector current will not further increase. The base current does not control the collector current any more.

Constantly increased base current in a circuit
Fig. 1.1.5.1:
First the collector current increases proportional to the base current. When the collector-emitter voltage gets low, there is no further increase in collector current.


The current that flows through the load resistor is always:


If the collector-emitter voltage gets very low, as it is the case here, the collector current becomes:


This means in fact, that now the collector current depends on the supply voltage and on the load resistor only. This is logical, as the transistor can REDUCE the current that flows through the load resistor, but it can not make MORE current flow, than is possible according to Ohm's law for the load resistor.

The base current provides the carriers to the base, which are required to make the base-collector junction conducting. The more carriers are provided, the more collector current can flow. If the collector current is now limited by the external circuit, e.g. by the load resistor, the base current provides more carriers than required. We say the base or the transistor is SATURATED.

In the voltage-current diagram, the saturation of the transistor can be represented by the region, where the characteristic is not flat anymore, but is dropping. This is called the SATURATION REGION.

Output voltage-current diagram of the transistor
Fig. 1.1.5.2:
The output voltage-current diagram of the transistor. It can be seen, that at small collector emitter voltages the collector current IC drops, although the base current remained constant. Any increase in base current will not increase the collector current any more. The transistor is saturated.
This region in the diagram is called saturation region.


From the diagram it can be seen, that the transistor changes gradually from active to saturated. When the transistor will be considered to be definitely saturated, will depend on the circuit.

As general rule, the limit between active region and saturation region is where the voltage between collector and base, UBC, is zero. That means in fact, that the collector-emitter voltage UCE is equal to the base-emitter voltage UBE.


Saturation of a transistor is required for switching applications.


1.1.6 Temperature behaviour

Transistors are made of the same materials (germanium or silicon) and by the same processes as diodes. Because of this, they show the same temperature behaviour as these.

The maximum temperatures for transistors are also the same as for diodes: Germanium transistors can stand up to 100°C, silicon transistors up to 200°C. Exceeding these temperatures will destroy the transistors. It should always be considered, that these temperatures refer to the semiconductor material of the transistor, where the temperature is normally higher than at the case-surface.

With rising temperature the transistor conducts more. This means the base and the collector current will increase. As such changes are normally not desired, in the circuit special measures must be taken, to compensate for the temperature behaviour of the transistor.



1.2 Electrical characteristics

In the previous chapter, some of the diagrams, describing the characteristics of the transistor, have been introduced.
In this chapter we will take a closer look at them.


1.2.1 The output characteristic

This is the most important characteristic for the transistor. It shows, how the collector current varies, if the collector-emitter voltage is changed.

The base current is the parameter. It is kept constant for each curve. The output characteristic normally shows a set of curves, each curve for a different base current.

The base current has to be maintained constant during the plotting of one curve. This has to be done manually or by means of a constant current source.

Measuring set-up for the plotting of the output characteristics
Fig. 1.2.1.1:
Measuring set-up for the plotting of the output characteristics. The base current has to be maintained constant during the plotting of one curve.


Typical output characteristic for a NPN-transistor
Fig. 1.2.1.2:
A typical output characteristic for a NPN-transistor.


The output characteristics for different individual transistors of even the same type may vary considerably. The characteristics, given in the data sheets, only show the behaviour of the average transistor of this type.

Output characteristics for five samples of the same type of transistor
Fig. 1.2.1.3:
Output characteristics for five samples of the same type of transistor.
The characteristics vary considerably. This shows, that all calculations with transistors can only be done with low accuracy.


The output characteristic is normally limited by operational limits for the transistor. These values may not be exceeded, in order not to destroy the transistors. For the output characteristic these values are:

Output characteristic
Fig. 1.2.1.4:
The output characteristic, limited by the maximum collector-emitter voltage UCEmax, the maximum collector current ICmax and by the maximum power dissipation Ptot.



Some important information about the transistor can be found from the output characteristic:



Another output characteristic for the transistor can be found, if the BASE EMITTER VOLTAGE UBE is taken as parameter. To determine this output characteristic, the base-emitter voltage must be kept constant, while one curve is plotted.

Output characteristic of a transistor with U BE as parameter
Fig. 1.2.1.7:
The output characteristic of a transistor, using UBE as parameter.


The output characteristic with the base-emitter voltage as parameter has less importance in practice, as the transistor is normally controlled by the base current.


1.2.2 The input characteristic

The base is considered to be the input of the transistor. As the emitter is the common terminal, the input signal, which is controlling the output, will be applied between base and emitter.

The input characteristic is thus showing the relationships between the base-emitter voltage UBE and the base current IB.

The base-emitter path behaves mainly as a diode. Thus the input characteristic has just the same shape as a diode characteristic. Depending, whether the transistor is made of germanium of silicon, these characteristics will have a threshold voltage of approximately 0.3V or 0.7V.

The base of the transistor is very thin and the collector has an influence on the situation at the base. The collector-emitter voltage will help to pull the electrons from the emitter into the base. So, if the collector-emitter voltage is increased, it will cause an increase in base current, even if the base-emitter voltage remains unchanged.

As a result, we get different characteristics for different collector-emitter voltages. UCE is the parameter of the input characteristic.

Input characteristic of a silicon transistor with U CE as parameter
Fig. 1.2.2.1:
The input characteristic of a silicon transistor with UCE as parameter. To plot the characteristics UCE must be kept constant.
The input characteristics for a germanium transistor are somewhat lower in UBE.


The input characteristic is normally only given for forward directions of the base-emitter diode, as this the normal operation condition of the transistor.

From the input characteristic the BASE EMITTER RESISTANCE rBE can be found. This is the internal resistance of the input of the transistor. Also this resistance is not constant, but depending on the voltage UBE.

Determining the base-emitter resistance from the input characteristic
Fig.1.2.2.2:
From the input characteristic the base-emitter resistance can be determined as being the slope of the curve.


The slope of the input characteristic represents the base-emitter resistance. To determine it, the difference in UBE and the corresponding difference in IB has to be considered.


In the active region of the transistor, rBE lies in the range of 1kohms to 10kohms.


1.2.3 The control characteristic

This characteristic shows, how the input (base) controls the output (collector) of the transistor. Normally the transistor is considered as current controlled current source, thus the input and the output signals are both currents.

When the current control characteristic is plotted, it is found, that it depends slightly on the collector-emitter voltage. Thus UCE must be taken as parameter for this characteristic.

Current control characteristic of a transistor
Fig. 1.2.3.1:
The current control characteristic of a transistor. The collector-emitter voltage is the parameter.
It can be seen, that the relationship between base and collector current is relatively linear.


As these characteristics are a straight line over a wide range, base and collector current can be considered almost proportional.

From the current control characteristic the current gain B can again be determined. It is simply the ratio given by the values of IC and IB. It is to be seen in this diagram, that B is not absolute constant, although the changes are not very significant.

When the transistor is used in an amplifier, the current gain at the very working conditions is of importance. This is the relationship of the collector current VARIATIONS as a result of the base current VARIATIONS at a certain collector current.

This is represented by the SLOPE of the current control characteristic. It is called the differential current gain. Different symbols are used for this quantity, either beta or hfe.

hfe is an h-parameter. These parameters will be explained later.

From the characteristics above it can be seen, that there is little difference between the static and the differential current gain. Thus for the ACTIVE REGION we can simplify:

This is not true for the SATURATION REGION! There the differential current gain is considerably less than the static current gain.
(Refer to the output characteristic!)

Sometimes also the VOLTAGE CONTROL CHARACTERISTIC of the transistor may be given. It shows, how the collector current IC depends on the base-emitter voltage UBE.

As the base current is almost proportional to the collector current, this characteristic looks like an input characteristic, where the base current axis is multiplied by the current gain B.

Voltage control characteristic of a transistor
Fig. 1.2.3.2:
The voltage control characteristic of a transistor. The characteristic looks like the input characteristic. In fact the IB axis of the input characteristic can just be multiplied by B to get this characteristic.


Also this characteristic has little importance in practice, as the transistor is normally considered to be controlled by current.


1.2.4 Summary

A number of different characteristics and values are used to describe the behaviour of the transistor.
(Much more than introduced in this chapter!)

But ONLY THREE CHARACTERISTICS are the most important ones:


From the OUTOUT CHARACTERISTIC we can find:


From the INPUT CHARACTERISTIC we can find


From the CURRENT CONTROL CHARACTERISTIC we can find

 

Linie

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