Corollary Theorems: Transistors

 

ELECTRONIC DESIGN NOTES #7

Transistors
 
 

 
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The transistor was discovered in 1947 at Bell laboratories. Starting with 1960s, the transistor takes on a spectacular development ramp, and it continues to do so. Even more, the future looks very bright for transistors, since we are moving towards the "printed" electronic circuits--this means, electronic circuits printed on paper and other materials, using special semiconductor and conductor inks.

In this page are presented just few instances of using transistors, few schematics, some graphs, and a general classification. The structure employed is:
1. Biasing PNP and NPN bipolar transistors
2. Bipolar transistors functions
3. Biasing JFET transistors
4. JFET transistors functions
5. Types of transistors

 
NOTE
The basic notions highlighted in this page are related to electronic design topics presented in the first part Hardware Design of Learn Hardware Firmware and Software Design.
 

 
 BIASING PNP AND NPN BIPOLAR TRANSISTORS

Bipolar Junction Transistors (BJT) work in two modes:
1. as amplifiers
2. as digital switches in saturation/cutoff states


Many designers do not understand this: bipolar transistors are current controlled electronic devices. Of course, we need specific voltages to bias a bipolar transistor, but those voltages have the polarity and the required magnitude according to the currents they need to generate.

That misunderstanding is nobody's fault, because there are many books where this issue is unclear and/or incorrectly presented. To start, let's analyze those voltage biasing, though remember that all biasing voltages are generated by the needed currents. Transistors graphs corresponding to the two functioning modes are related to Ib, Ie, and Ic only, according to the formula:

Ie = Ib + Ic

Ie = emiter current
Ib = base current
Ic = collector current

To start let's see how we saturate transistors. Please note: the saturation/cutoff digital mode of functioning is the only situation when transistors behave similar to voltage controlled relays. This situation brings some confusion, therefore any analogy to voltage control should better be avoided.
 


SATURATING BIPOLAR TRANSISTORS
(DIGITAL MODE)
 

Schematic Graph Fig
Saturating PNP Saturating PNP Graph Fig1: Saturating PNP transistors
Red trace
is the base voltage
Blue trace is voltage in point A (The graph is transposed downwards for exemplification; voltage variation is in fact from +5V to 0V)

ATTENTION
PNP transistors are saturated when the current Base-Emitter is maximum. Due to the PNP special bias requirements, that happens when base voltage is 0 V in the above picture.

PNP transistors are in cutoff state when the current Base-Emitter is minimum (zero). That happens when base voltage is the same as the emitter one--in the above example it is +5V.

In the PNP biasing case presented above collector's voltage is a fixed value: zero volts.

 
Saturating NPN Saturating NPN Graph Fig 2: Saturating NPN transistors
Red trace
is base voltage
(The graph is transposed downwards for exemplification; voltage variation is in fact from 0V to +5V)
Blue trace is voltage in point A. Note that in this case collector's voltage is +10 V

ATTENTION
NPN transistors are saturated when the current Base-Emitter is maximum. Due to the NPN bias requirements, that happens when base voltage is greater than 0.7 V--otherwise there is no current flow.

NPN transistors are in cutoff state when the current Base-Emitter is minimum (zero). That happens when the base voltage is the same as the emitter one--in the above example it is 0 V.

In the NPN biasing case presented above collector's voltage may have any positive value supported by the silicon. It can also be zero, although in that case we have no collector current.

 

There are few good methods to bias the transistor as they are listed further down, though only for the NPN transistor. For PNP you should reverse polarities.
 


BIPOLAR NPN TRANSISTORS BIASING
 

Schematic Description
NPN biasing: Base biasing Fig 3: Base Biasing

This schematic is very much dependant on transistor's
β. If β changes with temperature, the output will also change. The formulas used to calculate this schematic are:

 Ib = (+5V - Vbe) / Rb

 Ic = (+5V - Vbe) / (Rb / β)

 +5V is Vc
NPN biasing: Collector Feedback Fig 4: Collector Feedback Biasing

This schematic is similar to the one above.
NPN biasing: Universal Fig 5: Universal Biasing

This schematic is more stabile with β change, and it is also one of the most used one. The formulas used to calculate this schematic are:

 Ie = (Vre / Re)

 Ie = (Vrb2 -Vbe) / Re

 Ic = Ie

NPN biasing: 2 Power Supply

Fig 6: Two Power Supply (Emitter Biasing)

This schematic is dependant on the two voltage levels: if they are stable so will be the output. The formulas used to calculate this schematic are:

 Ib = (-5V - Vbe) / [Rb + (β+1) * Re]

 Ie = (-5V - Vbe) / { [Rb / (β+1)] + Re}

NOTE
Always remember that a PNP transistor is biased according to the formula P-N-NN as follows:
1. Emitter = Positive (
P)
2. Base = Negative (
N)
3. Collector = More Negative than the Base (
NN)

NOTE
Always remember a NPN transistor is biased according to the formula N-P-PP as follows:
1. Emitter = Negative (
N)
2. Base = Positive (
P)
3. Collector = More Positive than the Base (
PP)


The minimum amount of formulas needed to work with bipolar transistors are:

β (Beta) = Ic / Ib
α (Alpha) = Ic / Ie
Ie = (β - 1) * Ib
Ie = Ic + Ib


ATTENTION
The junction Base-Emitter is directly biased, while the junction Base-Collector is reverse biased. That means, there is current flowing from Base to Emitter (naturally), but there is (for certain) no current exchange between Base-Collector or Collector-Base.

For more details about working with transistor in digital mode please consult Learn Hardware Firmware and Software Design.

 BIPOLAR TRANSISTORS FUNCTIONS

We have seen the saturation and cutoff states (the digital mode). That defines bipolar transistors as being perfect current controlled switches, which is their main function. That also makes them DC logic elements, therefore transistors are the very building bricks of all logic ICs (including processors).

It needs to be pointed out that bipolar transistors (BJT) have nicer switching characteristics than the MOS-FET ones. The Isolated Gate Bipolar Transistors (IGBT) have the nicest switching characteristics--no ringing, or the minimum amount possible.

Now, bipolar transistors have been used since they were invented in analog circuits as amplifiers in linear mode. There are three main schematics used to wire bipolar transistors as amplifiers; they are presented again only for the NPN case. What we are looking for is:
1. voltage gain
2. current gain
3. power gain


The three most common schematics used are:
1. Common-Emitter, for voltage, current, and power gain
2. Common-Base, for voltage and power gain
3. Common-Collector, for current and power gain



NPN TRANSISTORS LINEAR AMPLIFICATION TECHNIQUES
 

Schematic Graph Description
NPN amplification: Common Emitter NPN amplification: Common Emitter Graph Fig 7: Simplified Common-Emitter amplifier

Red trace is the In FM (Frequency Modulation) signal (transposed down)

Blue trace is the amplified Out signal


This schematic is used for: 
1. voltage gain
2. current gain
3. power gain.
NPN amplification: Common Base NPN amplification: Common Base Graph Fig 8: Simplified Common-Base amplifier

Red trace is the In FM (Frequency Modulation) signal (transposed down)

Blue trace is the amplified Out signal


This schematic is used for:
1. voltage gain
2. power gain
NPN amplification: Common Collector NPN amplification: Common Collector Graph Fig 9: Simplified Common-Collector amplifier

Red trace is the In FM (Frequency Modulation) signal (transposed down)

Blue trace is the amplified Out signal


This schematic is used for:
1. current gain
2. power gain

The article "Driving Automotive Injectors" (A25 in Amazing Articles) presents few topics about using power transistors.

 BIASING JFET TRANSISTORS

The FET (Field Effect Transistor) is a high-input impedance (100 MOhms and better), low noise, voltage controlled solid-state semiconductor device. The first FET discovered was JFET (Junction Field Effect Transistor) followed few years later by IGFET (Isolated Gate Field Effect Transistor) which was later renamed MOS-FET (Metal Oxide Semiconductor Field Effect Transistor).

The MOS technology is very cheap and perfectly suited for mass production, therefore it is used in most ICs today. For hardware designers, however, FET are rather expensive to procure, and they may be easily damaged by a simple hand touch (electrostatic voltages).

More problematic is biasing FET transistors; therefore, we will try presenting few schematics.

ATTENTION
Before working with transistors (BJT or FET), you need to study their output curve. For that you have to get their Data Sheet. Particularly to FET, their output curve it is fairly complex (not presented here). You need to get one, because it is possible there will be few (unexplained) references to it.

ATTENTION
FET transistors behave similar to voltage controlled relays.

Three schematics are commonly employed to bias N-JFET transistors:
1. Self Biased
2. Universally Biased
3. Two Power Supply



BIASING N-CHANNEL JFET
 
Schematic Description
JFET Biasing: Self Biased Fig 10: Self Biased N-JFET

We use the following formulas to calculate the voltages and currents:

 Id = Idss[1-(Vgs/Vgsoff)]2
Where Idss, and Vgsoff are given in Data Sheet.
Id = Drain to Source current
 Vrd = Id * Rd
 Vrs = Id * Rs
 Vd  = Vdd - Vrd
 Vds = Vd - Vs
 Vgs = Vg - Vs
JFET Biasing: Universal Fig 11: Universally Biased N-JFET

We use the following formulas to calculate the voltages and currents:

 Id = Idss[1-(Vgs/Vgsoff)]2
Where Idss, and Vgsoff are given in Data Sheet. In addition:

 Vrg2 = (Vdd * Rg2) / (Rg2 + Rg1)
 Vrd = Id * Rd
 Vrs = Id * Rs
 Vd = Vdd - Vrd
 Vds = Vd - Vs
 Vgs = Vg - Vs

JFET Biasing: 2 Power Supply Fig 12: Two Power Supply Biased N-JFET

We use the following formulas to calculate the voltages and currents:

 Id = Idss[1-(Vgs/Vgsoff)]2
Where Idss, and Vgsoff are given in Data Sheet. In addition:

 Vrd = Id * Rd
 Vrs = Id * Rs
 Vd = Vdd - Vrd
 Vds = Vd - Vs
 Vgs = Vg - Vs

A practical way to work with FET transistors is, always test their output curve before using them. FETs are third order semiconductors and it is not easy to control them. First, decide on using one or two FET functions, for example switching and variable resistors, and then use a simulator program, or a test stand to discover the right values need for the biasing resistors.

The test stand looks (generally, in principle) as follows:

JFET: Test Stand Fig 13: Test stand used to discover the right biasing resistors required by various FET configurations

Once you calculate and measure the needed voltages and currents, you should implement one of the above biasing schematics. It is easy to find the right gate voltage/resistor using:
 R = V / I


 JFET TRANSISTORS FUNCTIONS

All FET transistors have three main functions. They are used as:
1. amplifiers
2. analog/digital switches
3. voltage-controlled resistors


If you want digital FET switches in your application, please consider one of the biasing schematics presented above. The voltage-controlled resistor function is left for you to discover. Further is presented only the amplification function.

 


N-CHANNEL JFET AMPLIFICATION TECHNIQUES
 

Schematic Graph Fig
JFET amplification: Common Source JFET amplification: Common Source Graph Fig 14: Common Source JFET amplifier

Red trace is the In FM (Frequency Modulation) signal (transposed down)

Blue trace is the amplified Out signal

JFET amplification: Common Drain JFET amplification: Common Drain Graph Fig 15: Common Drain JFET amplifier

Red trace is the In FM (Frequency Modulation) signal (transposed down)

Blue trace is the amplified Out signal

JFET amplification: Common Gate JFET amplification: Common Gate Graph Fig 16: Common Gate JFET amplifier

Red trace is the amplified Out signal

Blue trace is the In FM (Frequency Modulation) signal
(transposed down)

 

 TYPES OF TRANSISTORS

It is possible transistors are the electronic components coming in the wildest variety possible, which clearly indicates they are very much used (and needed).

Above are presented only the BJT and the JFET ones. More or less, all other existing types of transistors are similar in functionality.

It is possible we will develop this "Types of transistors" topic one day. Meanwhile, we do encourage you to read Learn Hardware Firmware and Software design. In addition to presenting all schematics you need to start working with dsPIC controllers (or with any other Microchip controller), this book presents 12 firmware and 7 software source-code applications, each of them being a practical working project, fairly easy to understand. Please believe this: complete, working source code programs in a book is unheard-of! The really exceptional aspect is, all firmware and software programs presented in LHFSD are the essence of simplicity, and incredibly easy to understand for beginners. Always remember that it is the firmware/software that drives the hardware.


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