the transistor switch. computers work with boolean algebra – two logic states – true or false ...
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TEC 284The Transistor Switch
The Transistor as a Switch?
Computers work with Boolean algebra – two logic states – TRUE or FALSE
These states can be easily represented electronically by a transistor that is ON or OFF
Logic portions of microprocessors consist entirely of transistor switches
Turning a Transistor ON
In the circuit, a lamp can be substituted for a collector resistor
Rc, the resistance of the lamp is referred to as the load
Ic, the current through the lamp is referred to as the load current
When the transistor is turned on, the collector voltage is 0 ( there is actually a small voltage drop between the collector and the emitter – saturation voltage)
We will consider this negligible and assume the collector voltage to be 0 for a transistor that is ON
Calculating RB needed to turn a transistor ON
Given the supply voltage and the lamp resistance, we need to find the base resistance RB that will turn the transistor ON
In order to determine RB, perform the following steps1. Determine the required collector
current2. Determine the value of β3. Calculate the required value of IB
4. Calculate the value of RB
NB : In calculations, the voltage drop across the base emitter of the transistor VBE (which is 0.7V is only taken into account if the source voltage is > 10 V
Calculations
Assume VS = 28 V, lamp requires 50 mA and β = 75
• IB = IC / β = 50 mA / 75 =2/3 mA
• RB = 28 / (2/3) = 42 kΩ
Question
Assume that Vs = 9 V and that the lamp requires 50 mA and β = 75, find the base resistance RB needed to turn on the transistor. In this case since VS < 10, the VBE drop of 0.7 V has to be taken into account
Calculate RB for the following problems
1. A 10 V lamp that draws 10 mA. β = 100
2. A 5 V lamp that draws 100 mA. β = 50
Answers
1. A 10 V lamp that draws 10 mA. β = 100IB = 10 mA / 100 = 0.1 mARB = 10 / 0.1 mA = 100 k Ω
2. A 5 V lamp that draws 100 mA. β = 50IB = 100 mA / 50 = 2 mARB = (5 – 0.7) / 2mA = 4.3 / 2mA = 2.15 kΩ
Turning a transistor OFF
When a transistor is turned OFF, it acts like an OPEN mechanical switch
When it is turned ON, it acts like a CLOSED mechanical switch
A transistor is turned off when no base current flows
Turning a transistor OFF
You can be sure there is no base current in the circuit to the left by opening the mechanical switch
To ensure that a transistor remains off when it is not connected to the supply voltage, add a resistor to the circuit (R2)
The base of the resistor is connected to ground or 0 V through the resistor
No base current can possibly flow This resistor should be between 1
kΩ and 1MΩ
Why Transistors are used as switches Operating equipment in a
dangerous environment Turning a lamp on in a dangerous
environment e.g. radioactive chamber
A switch can be used outside the chamber
In mobile devices (e.g. radio controlled airplane) using switches minimizes power, weight and bulk required
If a switch controls equipment that requires a large amount of current, a transistor switch can be turned on an off using small, low voltage wires to control the larger current flow If the switch is located some distance from
the equipment that requires large current, this can save time and money
Why Transistors are used as switches
Because switching a transistor on and off can be controlled by an electrical signal, it can be controlled very accurately Mechanical devices are not as accurate This is important in photography where
an object is illuminated for a precise period of time
A transistor can be switched on and off millions of times a second and will last for many years Transistors are one of the longest lasting
and most reliable components known
Why Transistors are used as switches
Signals generated by most control devices are digital (high or low voltage) and are ideally suited for turning transistors on and off
Manufacturing techniques allow miniaturization of transistors Millions of them can fit on a single chip Electronic devices continue to get
smaller and lighter
Multiple Transistor Switch
Switch is in position A IB1 flows through the
base of Q1 and transistor Q1 is turned ON
Collector current IC1 flows causing the base of the transistor Q2 to be 0V
Q2 is thus OFF and no current flows through the lamp
Multiple Transistor Switch
Switch is in position B No base current flows
through Q1 IB2 flows through the
base of Q2 and transistor Q2 is turned ON
Collector current IC2 flows causing the lamp to turn ON
Multiple Transistor Switch Analysis
1. What effect does IB1 have on transistor Q1?
2. What effect does turning Q1 ON have on a) Collector current IC1?b) Collector Voltage
VC1?3. Where does the current
through R3 go?4. In this circuit is the lamp
on or off?
Multiple Transistor Answers
1. IB1 along with a portion of Vs (0.7V for a silicon transistor) turns Q1 ON
2. a)IC1 flows b) VC1 drops to 0 V
3. IC1 flows through Q1 to ground4. Off
Multiple Transistor Switch Analysis
1. How much base current IB1 flows into Q1?
2. Is Q1 ON or OFF?3. What current flows
through R3?4. Is Q2 ON or OFF?5. Is the lamp ON or OFF?
Multiple Transistor Answers
1. None2. OFF3. IB24. ON5. ON
Two transistor switch calculations
For the following circuit calculate the values of R1, R2 and R3 that are required to operate the lamp. How do we accomplish this?
Steps for the calculation
1. Determine load current IC22. Determine β for Q2. Call
this β23. Calculate IB2 for Q2. Use
IB2 = IC2/ β 24. Calculate R3 to provide the
base current (Vs / IB2)5. R3 will have the same
current as the base current for Q2
6. Calculate β1, the β for Q17. Calculate the base current
for Q1. IB1 = IC1 / β18. Find R1. R1 = Vs / IB19. Choose R2. For
convenience R2 = R1
Question
1. Find IB22. Find R33. Calculate the load current for Q1 when it
is ON4. Find the base current for Q15. Find R16. Choose a suitable value for R2
• Given that a 10 V lamp draws 1A and that • Vs = 10V• IC2 = 1 A• β1 = 100• β2 = 20
• Find R1, R2 and R3
Answers
1. Given IC2 = 1A and β2=20, IB2 = 1 /20 = 50 mA
2. R3 = 10 / 50 mA = 200 Ω3. Ic1 (load current) = IB2 = 50 mA4. β 1 = 100, IB1 = 5o mA /100 = 0.5
mA5. R1 = 10 / 0.5 mA = 20 k Ω 6. For convenience R2 is the same as
R1 (20 k Ω)
The Three-Transistor Switch
This circuit uses three transistors to switch a load on and off
Q1 is used to turn on Q2 ON and OFF and Q2 is used to turn Q3 ON and OFF
The calculations are similar to the two transistor switch but an extra step is introduced
Questions
With the switch in position A
1. Is Q1 ON or OFF?2. Is Q2 ON or OFF?3. Where is the
current through R4 flowing?
4. Is Q3 ON or OFF?
Questions
With the switch in position A
1. Is Q1 ON or OFF?2. Is Q2 ON or OFF?3. Where is the
current through R4 flowing?
4. Is Q3 ON or OFF?5. Which switch
position turns the lamp ON?
6. How do the ON/OFF positions for the switch in the three-transistor switch differ from the ON/OFF positions for the two-transistor switch?
Determining resistor values
Steps1. Find the load
current2. Calculate IB3 given
the value of β3. IB3 = IC2
3. Calculate R4 = V / IB3
4. Calculate IB2 given β2. IC1 = IB2
5. Calculate R3 = Vs / IB2
6. Calculate IB1 given the value of β1
7. Calculate R1 = Vs / IB1
8. Choose R2 = R1
Calculate the values of R1, R2, R3 and R4 given that R5 is a 10V lamp that draws 10 A. Assume that β1= 100, β2=50 and β3=20.
Answers
Steps1. Load Current IC3 = 10 A2. IB3 = IC3 / β3 =10/20 = 0.5A = IC2
3. R4 = V / IB3 = 10 /0.5 = 20 Ω4. IB2 = IC2 / β2 =0.5/50 =10 mA= IC1
5. Calculate R3 = Vs / IB2 = 10/10mA = 1 k Ω
6. Calculate IB1 = IC1 /β1 = 1omA / 100 = 0.1 mA
7. R1 = Vs / IB1 = 10 /0.1 mA = 100 k Ω
8. Choose R2 = R1 = 100 k Ω
Calculate the values of R1, R2, R3 and R4 given that R5 is a 10V lamp that draws 10 A. Assume that β1= 100, β2=50 and β3=20.
Question
Calculate the values of R1, R2, R3 and R4 given that R5 is a 75V lamp that draws 6 A. Assume that β1= 120, β2=100 and β3=30.
Steps1. Find the load
current2. Calculate IB3 given
the value of β3. IB3 = IC2
3. Calculate R4 = V / IB3
4. Calculate IB2 given β2. IC1 = IB2
5. Calculate R3 = Vs / IB2
6. Calculate IB1 given the value of β1
7. Calculate R1 = Vs / IB1
8. Choose R2 = R1
Answers
R4 = 375 ΩR3 = 37.5 k ΩR1 = 4.5 M ΩR2 = 1 M Ω